MATLAB
MATLAB
Notes for Professionals
®
Notes for Professionals
100+ pages
of professional hints and tricks
Disclaimer
GoalKicker.com This is an unocial free book created for educational purposes and is
not aliated with ocial MATLAB® group(s) or company(s).
Free Programming Books All trademarks and registered trademarks are
the property of their respective owners
,Contents
About ................................................................................................................................................................................... 1
Chapter 1: Getting started with MATLAB Language ................................................................................... 2
Section 1.1: Indexing matrices and arrays ................................................................................................................... 3
Section 1.2: Anonymous functions and function handles .......................................................................................... 8
Section 1.3: Matrices and Arrays ................................................................................................................................ 11
Section 1.4: Cell arrays ................................................................................................................................................ 13
Section 1.5: Hello World ............................................................................................................................................... 14
Section 1.6: Scripts and Functions .............................................................................................................................. 14
Section 1.7: Helping yourself ....................................................................................................................................... 16
Section 1.8: Data Types ............................................................................................................................................... 16
Section 1.9: Reading Input & Writing Output ............................................................................................................ 19
Chapter 2: Initializing Matrices or arrays ....................................................................................................... 21
Section 2.1: Creating a matrix of 0s ........................................................................................................................... 21
Section 2.2: Creating a matrix of 1s ........................................................................................................................... 21
Section 2.3: Creating an identity matrix .................................................................................................................... 21
Chapter 3: Conditions ............................................................................................................................................... 22
Section 3.1: IF condition ............................................................................................................................................... 22
Section 3.2: IF-ELSE condition .................................................................................................................................... 22
Section 3.3: IF-ELSEIF condition ................................................................................................................................. 23
Section 3.4: Nested conditions ................................................................................................................................... 24
Chapter 4: Functions ................................................................................................................................................ 27
Section 4.1: nargin, nargout ........................................................................................................................................ 27
Chapter 5: Set operations ...................................................................................................................................... 29
Section 5.1: Elementary set operations ..................................................................................................................... 29
Chapter 6: Documenting functions .................................................................................................................... 30
Section 6.1: Obtaining a function signature .............................................................................................................. 30
Section 6.2: Simple Function Documentation ........................................................................................................... 30
Section 6.3: Local Function Documentation ............................................................................................................. 30
Section 6.4: Documenting a Function with an Example Script ............................................................................... 31
Chapter 7: Using functions with logical output ........................................................................................... 34
Section 7.1: All and Any with empty arrays ............................................................................................................... 34
Chapter 8: For loops ................................................................................................................................................. 35
Section 8.1: Iterate over columns of matrix .............................................................................................................. 35
Section 8.2: Notice: Weird same counter nested loops ........................................................................................... 35
Section 8.3: Iterate over elements of vector ............................................................................................................ 36
Section 8.4: Nested Loops .......................................................................................................................................... 37
Section 8.5: Loop 1 to n ............................................................................................................................................... 38
Section 8.6: Loop over indexes .................................................................................................................................. 39
Chapter 9: Object-Oriented Programming .................................................................................................... 40
Section 9.1: Value vs Handle classes ......................................................................................................................... 40
Section 9.2: Constructors ............................................................................................................................................ 40
Section 9.3: Defining a class ....................................................................................................................................... 42
Section 9.4: Inheriting from classes and abstract classes ...................................................................................... 43
Chapter 10: Vectorization ....................................................................................................................................... 47
Section 10.1: Use of bsxfun .......................................................................................................................................... 47
Section 10.2: Implicit array expansion (broadcasting) [R2016b] ............................................................................ 48
, Section 10.3: Element-wise operations ...................................................................................................................... 49
Section 10.4: Logical Masking ..................................................................................................................................... 50
Section 10.5: Sum, mean, prod & co .......................................................................................................................... 51
Section 10.6: Get the value of a function of two or more arguments .................................................................... 52
Chapter 11: Matrix decompositions .................................................................................................................... 53
Section 11.1: Schur decomposition .............................................................................................................................. 53
Section 11.2: Cholesky decomposition ....................................................................................................................... 53
Section 11.3: QR decomposition .................................................................................................................................. 54
Section 11.4: LU decomposition .................................................................................................................................. 54
Section 11.5: Singular value decomposition .............................................................................................................. 55
Chapter 12: Graphics: 2D Line Plots ................................................................................................................... 56
Section 12.1: Split line with NaNs ................................................................................................................................. 56
Section 12.2: Multiple lines in a single plot ................................................................................................................ 56
Section 12.3: Custom colour and line style orders ................................................................................................... 57
Chapter 13: Graphics: 2D and 3D Transformations ................................................................................... 61
Section 13.1: 2D Transformations ............................................................................................................................... 61
Chapter 14: Controlling Subplot coloring in MATLAB ............................................................................... 64
Section 14.1: How it's done .......................................................................................................................................... 64
Chapter 15: Image processing .............................................................................................................................. 65
Section 15.1: Basic image I/O ...................................................................................................................................... 65
Section 15.2: Retrieve Images from the Internet ...................................................................................................... 65
Section 15.3: Filtering Using a 2D FFT ....................................................................................................................... 65
Section 15.4: Image Filtering ....................................................................................................................................... 66
Section 15.5: Measuring Properties of Connected Regions ..................................................................................... 67
Chapter 16: Drawing .................................................................................................................................................. 70
Section 16.1: Circles ...................................................................................................................................................... 70
Section 16.2: Arrows ..................................................................................................................................................... 71
Section 16.3: Ellipse ...................................................................................................................................................... 74
Section 16.4: Pseudo 4D plot ...................................................................................................................................... 75
Section 16.5: Fast drawing .......................................................................................................................................... 79
Section 16.6: Polygon(s) .............................................................................................................................................. 80
Chapter 17: Financial Applications ..................................................................................................................... 82
Section 17.1: Random Walk ......................................................................................................................................... 82
Section 17.2: Univariate Geometric Brownian Motion .............................................................................................. 82
Chapter 18: Fourier Transforms and Inverse Fourier Transforms .................................................... 84
Section 18.1: Implement a simple Fourier Transform in MATLAB ........................................................................... 84
Section 18.2: Images and multidimensional FTs ...................................................................................................... 85
Section 18.3: Inverse Fourier Transforms .................................................................................................................. 90
Chapter 19: Ordinary Dierential Equations (ODE) Solvers ................................................................. 92
Section 19.1: Example for odeset ................................................................................................................................ 92
Chapter 20: Interpolation with MATLAB .......................................................................................................... 94
Section 20.1: Piecewise interpolation 2 dimensional ................................................................................................ 94
Section 20.2: Piecewise interpolation 1 dimensional ................................................................................................ 96
Section 20.3: Polynomial interpolation ................................................................................................................... 101
Chapter 21: Integration .......................................................................................................................................... 105
Section 21.1: Integral, integral2, integral3 ................................................................................................................ 105
Chapter 22: Reading large files ........................................................................................................................ 107
Section 22.1: textscan ................................................................................................................................................ 107
, Section 22.2: Date and time strings to numeric array fast .................................................................................. 107
Chapter 23: Usage of `accumarray()` Function ......................................................................................... 109
Section 23.1: Apply Filter to Image Patches and Set Each Pixel as the Mean of the Result of Each Patch
............................................................................................................................................................................. 109
Section 23.2: Finding the maximum value among elements grouped by another vector ................................ 110
Chapter 24: Introduction to MEX API ............................................................................................................. 111
Section 24.1: Check number of inputs/outputs in a C++ MEX-file ........................................................................ 111
Section 24.2: Input a string, modify it in C, and output it ...................................................................................... 112
Section 24.3: Passing a struct by field names ........................................................................................................ 113
Section 24.4: Pass a 3D matrix from MATLAB to C ............................................................................................... 113
Chapter 25: Debugging .......................................................................................................................................... 116
Section 25.1: Working with Breakpoints .................................................................................................................. 116
Section 25.2: Debugging Java code invoked by MATLAB ................................................................................... 118
Chapter 26: Performance and Benchmarking ........................................................................................... 121
Section 26.1: Identifying performance bottlenecks using the Profiler ................................................................. 121
Section 26.2: Comparing execution time of multiple functions ............................................................................ 124
Section 26.3: The importance of preallocation ...................................................................................................... 125
Section 26.4: It's ok to be `single`! ............................................................................................................................ 127
Chapter 27: Multithreading ................................................................................................................................. 130
Section 27.1: Using parfor to parallelize a loop ...................................................................................................... 130
Section 27.2: Executing commands in parallel using a "Single Program, Multiple Data" (SPMD) statement
............................................................................................................................................................................. 130
Section 27.3: Using the batch command to do various computations in parallel ............................................. 131
Section 27.4: When to use parfor ............................................................................................................................ 131
Chapter 28: Using serial ports ........................................................................................................................... 133
Section 28.1: Creating a serial port on Mac/Linux/Windows ............................................................................... 133
Section 28.2: Choosing your communication mode .............................................................................................. 133
Section 28.3: Automatically processing data received from a serial port .......................................................... 136
Section 28.4: Reading from the serial port ............................................................................................................. 137
Section 28.5: Closing a serial port even if lost, deleted or overwritten ............................................................... 137
Section 28.6: Writing to the serial port .................................................................................................................... 137
Chapter 29: Undocumented Features ............................................................................................................ 138
Section 29.1: Color-coded 2D line plots with color data in third dimension ........................................................ 138
Section 29.2: Semi-transparent markers in line and scatter plots ....................................................................... 138
Section 29.3: C++ compatible helper functions ...................................................................................................... 140
Section 29.4: Scatter plot jitter ................................................................................................................................. 141
Section 29.5: Contour Plots - Customise the Text Labels ...................................................................................... 141
Section 29.6: Appending / adding entries to an existing legend ......................................................................... 143
Chapter 30: MATLAB Best Practices ............................................................................................................... 145
Section 30.1: Indent code properly .......................................................................................................................... 145
Section 30.2: Avoid loops ......................................................................................................................................... 146
Section 30.3: Keep lines short .................................................................................................................................. 146
Section 30.4: Use assert ........................................................................................................................................... 147
Section 30.5: Block Comment Operator ................................................................................................................. 147
Section 30.6: Create Unique Name for Temporary File ........................................................................................ 148
Chapter 31: MATLAB User Interfaces .............................................................................................................. 150
Section 31.1: Passing Data Around User Interface ................................................................................................. 150
Section 31.2: Making a button in your UI that pauses callback execution .......................................................... 152
Section 31.3: Passing data around using the "handles" structure ........................................................................ 153
MATLAB
Notes for Professionals
®
Notes for Professionals
100+ pages
of professional hints and tricks
Disclaimer
GoalKicker.com This is an unocial free book created for educational purposes and is
not aliated with ocial MATLAB® group(s) or company(s).
Free Programming Books All trademarks and registered trademarks are
the property of their respective owners
,Contents
About ................................................................................................................................................................................... 1
Chapter 1: Getting started with MATLAB Language ................................................................................... 2
Section 1.1: Indexing matrices and arrays ................................................................................................................... 3
Section 1.2: Anonymous functions and function handles .......................................................................................... 8
Section 1.3: Matrices and Arrays ................................................................................................................................ 11
Section 1.4: Cell arrays ................................................................................................................................................ 13
Section 1.5: Hello World ............................................................................................................................................... 14
Section 1.6: Scripts and Functions .............................................................................................................................. 14
Section 1.7: Helping yourself ....................................................................................................................................... 16
Section 1.8: Data Types ............................................................................................................................................... 16
Section 1.9: Reading Input & Writing Output ............................................................................................................ 19
Chapter 2: Initializing Matrices or arrays ....................................................................................................... 21
Section 2.1: Creating a matrix of 0s ........................................................................................................................... 21
Section 2.2: Creating a matrix of 1s ........................................................................................................................... 21
Section 2.3: Creating an identity matrix .................................................................................................................... 21
Chapter 3: Conditions ............................................................................................................................................... 22
Section 3.1: IF condition ............................................................................................................................................... 22
Section 3.2: IF-ELSE condition .................................................................................................................................... 22
Section 3.3: IF-ELSEIF condition ................................................................................................................................. 23
Section 3.4: Nested conditions ................................................................................................................................... 24
Chapter 4: Functions ................................................................................................................................................ 27
Section 4.1: nargin, nargout ........................................................................................................................................ 27
Chapter 5: Set operations ...................................................................................................................................... 29
Section 5.1: Elementary set operations ..................................................................................................................... 29
Chapter 6: Documenting functions .................................................................................................................... 30
Section 6.1: Obtaining a function signature .............................................................................................................. 30
Section 6.2: Simple Function Documentation ........................................................................................................... 30
Section 6.3: Local Function Documentation ............................................................................................................. 30
Section 6.4: Documenting a Function with an Example Script ............................................................................... 31
Chapter 7: Using functions with logical output ........................................................................................... 34
Section 7.1: All and Any with empty arrays ............................................................................................................... 34
Chapter 8: For loops ................................................................................................................................................. 35
Section 8.1: Iterate over columns of matrix .............................................................................................................. 35
Section 8.2: Notice: Weird same counter nested loops ........................................................................................... 35
Section 8.3: Iterate over elements of vector ............................................................................................................ 36
Section 8.4: Nested Loops .......................................................................................................................................... 37
Section 8.5: Loop 1 to n ............................................................................................................................................... 38
Section 8.6: Loop over indexes .................................................................................................................................. 39
Chapter 9: Object-Oriented Programming .................................................................................................... 40
Section 9.1: Value vs Handle classes ......................................................................................................................... 40
Section 9.2: Constructors ............................................................................................................................................ 40
Section 9.3: Defining a class ....................................................................................................................................... 42
Section 9.4: Inheriting from classes and abstract classes ...................................................................................... 43
Chapter 10: Vectorization ....................................................................................................................................... 47
Section 10.1: Use of bsxfun .......................................................................................................................................... 47
Section 10.2: Implicit array expansion (broadcasting) [R2016b] ............................................................................ 48
, Section 10.3: Element-wise operations ...................................................................................................................... 49
Section 10.4: Logical Masking ..................................................................................................................................... 50
Section 10.5: Sum, mean, prod & co .......................................................................................................................... 51
Section 10.6: Get the value of a function of two or more arguments .................................................................... 52
Chapter 11: Matrix decompositions .................................................................................................................... 53
Section 11.1: Schur decomposition .............................................................................................................................. 53
Section 11.2: Cholesky decomposition ....................................................................................................................... 53
Section 11.3: QR decomposition .................................................................................................................................. 54
Section 11.4: LU decomposition .................................................................................................................................. 54
Section 11.5: Singular value decomposition .............................................................................................................. 55
Chapter 12: Graphics: 2D Line Plots ................................................................................................................... 56
Section 12.1: Split line with NaNs ................................................................................................................................. 56
Section 12.2: Multiple lines in a single plot ................................................................................................................ 56
Section 12.3: Custom colour and line style orders ................................................................................................... 57
Chapter 13: Graphics: 2D and 3D Transformations ................................................................................... 61
Section 13.1: 2D Transformations ............................................................................................................................... 61
Chapter 14: Controlling Subplot coloring in MATLAB ............................................................................... 64
Section 14.1: How it's done .......................................................................................................................................... 64
Chapter 15: Image processing .............................................................................................................................. 65
Section 15.1: Basic image I/O ...................................................................................................................................... 65
Section 15.2: Retrieve Images from the Internet ...................................................................................................... 65
Section 15.3: Filtering Using a 2D FFT ....................................................................................................................... 65
Section 15.4: Image Filtering ....................................................................................................................................... 66
Section 15.5: Measuring Properties of Connected Regions ..................................................................................... 67
Chapter 16: Drawing .................................................................................................................................................. 70
Section 16.1: Circles ...................................................................................................................................................... 70
Section 16.2: Arrows ..................................................................................................................................................... 71
Section 16.3: Ellipse ...................................................................................................................................................... 74
Section 16.4: Pseudo 4D plot ...................................................................................................................................... 75
Section 16.5: Fast drawing .......................................................................................................................................... 79
Section 16.6: Polygon(s) .............................................................................................................................................. 80
Chapter 17: Financial Applications ..................................................................................................................... 82
Section 17.1: Random Walk ......................................................................................................................................... 82
Section 17.2: Univariate Geometric Brownian Motion .............................................................................................. 82
Chapter 18: Fourier Transforms and Inverse Fourier Transforms .................................................... 84
Section 18.1: Implement a simple Fourier Transform in MATLAB ........................................................................... 84
Section 18.2: Images and multidimensional FTs ...................................................................................................... 85
Section 18.3: Inverse Fourier Transforms .................................................................................................................. 90
Chapter 19: Ordinary Dierential Equations (ODE) Solvers ................................................................. 92
Section 19.1: Example for odeset ................................................................................................................................ 92
Chapter 20: Interpolation with MATLAB .......................................................................................................... 94
Section 20.1: Piecewise interpolation 2 dimensional ................................................................................................ 94
Section 20.2: Piecewise interpolation 1 dimensional ................................................................................................ 96
Section 20.3: Polynomial interpolation ................................................................................................................... 101
Chapter 21: Integration .......................................................................................................................................... 105
Section 21.1: Integral, integral2, integral3 ................................................................................................................ 105
Chapter 22: Reading large files ........................................................................................................................ 107
Section 22.1: textscan ................................................................................................................................................ 107
, Section 22.2: Date and time strings to numeric array fast .................................................................................. 107
Chapter 23: Usage of `accumarray()` Function ......................................................................................... 109
Section 23.1: Apply Filter to Image Patches and Set Each Pixel as the Mean of the Result of Each Patch
............................................................................................................................................................................. 109
Section 23.2: Finding the maximum value among elements grouped by another vector ................................ 110
Chapter 24: Introduction to MEX API ............................................................................................................. 111
Section 24.1: Check number of inputs/outputs in a C++ MEX-file ........................................................................ 111
Section 24.2: Input a string, modify it in C, and output it ...................................................................................... 112
Section 24.3: Passing a struct by field names ........................................................................................................ 113
Section 24.4: Pass a 3D matrix from MATLAB to C ............................................................................................... 113
Chapter 25: Debugging .......................................................................................................................................... 116
Section 25.1: Working with Breakpoints .................................................................................................................. 116
Section 25.2: Debugging Java code invoked by MATLAB ................................................................................... 118
Chapter 26: Performance and Benchmarking ........................................................................................... 121
Section 26.1: Identifying performance bottlenecks using the Profiler ................................................................. 121
Section 26.2: Comparing execution time of multiple functions ............................................................................ 124
Section 26.3: The importance of preallocation ...................................................................................................... 125
Section 26.4: It's ok to be `single`! ............................................................................................................................ 127
Chapter 27: Multithreading ................................................................................................................................. 130
Section 27.1: Using parfor to parallelize a loop ...................................................................................................... 130
Section 27.2: Executing commands in parallel using a "Single Program, Multiple Data" (SPMD) statement
............................................................................................................................................................................. 130
Section 27.3: Using the batch command to do various computations in parallel ............................................. 131
Section 27.4: When to use parfor ............................................................................................................................ 131
Chapter 28: Using serial ports ........................................................................................................................... 133
Section 28.1: Creating a serial port on Mac/Linux/Windows ............................................................................... 133
Section 28.2: Choosing your communication mode .............................................................................................. 133
Section 28.3: Automatically processing data received from a serial port .......................................................... 136
Section 28.4: Reading from the serial port ............................................................................................................. 137
Section 28.5: Closing a serial port even if lost, deleted or overwritten ............................................................... 137
Section 28.6: Writing to the serial port .................................................................................................................... 137
Chapter 29: Undocumented Features ............................................................................................................ 138
Section 29.1: Color-coded 2D line plots with color data in third dimension ........................................................ 138
Section 29.2: Semi-transparent markers in line and scatter plots ....................................................................... 138
Section 29.3: C++ compatible helper functions ...................................................................................................... 140
Section 29.4: Scatter plot jitter ................................................................................................................................. 141
Section 29.5: Contour Plots - Customise the Text Labels ...................................................................................... 141
Section 29.6: Appending / adding entries to an existing legend ......................................................................... 143
Chapter 30: MATLAB Best Practices ............................................................................................................... 145
Section 30.1: Indent code properly .......................................................................................................................... 145
Section 30.2: Avoid loops ......................................................................................................................................... 146
Section 30.3: Keep lines short .................................................................................................................................. 146
Section 30.4: Use assert ........................................................................................................................................... 147
Section 30.5: Block Comment Operator ................................................................................................................. 147
Section 30.6: Create Unique Name for Temporary File ........................................................................................ 148
Chapter 31: MATLAB User Interfaces .............................................................................................................. 150
Section 31.1: Passing Data Around User Interface ................................................................................................. 150
Section 31.2: Making a button in your UI that pauses callback execution .......................................................... 152
Section 31.3: Passing data around using the "handles" structure ........................................................................ 153
