5. Computation of Unit sample, Unit step and Sinusoidal responses of the given LTI system.
6. Gibbs Phenomenon Simulation.
7. Finding the Fourier Transform of a given signal and plotting its magnitude and phase
spectrum.
8. Locating the Zeros and Poles and plotting the Pole-Zero maps in S-plane and Z-Plane for
the given transfer function.
9. Verification of Sampling Theorem.
10. Checking a Random Process for Stationary in Wide sense.
• Digital System Design Lab:
1. Realization of Boolean expressions using gates.
2. Generation of clock using NAND / NOR gates.
3. Design a 4 – bit adder/subtractor.
4. Design and realization of a 4-bit gray to binary and binary to gray Converter.
5. Design and realization of an 8-bit parallel load and serial out shift register using flip-flops.
6. Design and realization of a synchronous and asynchronous counter using flip-flops.
7. Design and realization of 8x1 MUX using 2x1 MUX.
8. Design and realization of 4-bit comparator.
9. Design a Ring counter and Twisted ring counter using a 4-bit shift register
10. Design and Realization of a sequence detector-a finite state machine.
Note:
• All the Basic Simulation Lab experiments are to be simulated using MATLAB/SCI LAB or
equivalent software.
• Minimum of 14 experiments (7 from Basic Simulation and 7 from Digital System Design Lab) are
to be completed.
, EXPERMENT NO: 1
GENERATION OF VARIOUS SIGNALS&SEQUENCES
AIM: -To write a “MATLAB” Program to generate various signals and sequences, such as unit
impulse, unit step, unit ramp, sinusoidal, square, saw tooth, triangular, sinc signals.
SOFTWARE REQURIED:-
1. MATLAB R2010a.
2. Windows XP SP2.
THEORY:-
One of the more useful functions in the study of linear systems is the "unit impulse function." An
ideal impulse function is a function that is zero everywhere but at the origin, where it is infinitely
high. However, the area of the impulse is finite. This is, at first hard to visualize but we can do
so by using the graphs shown below.
Key Concept: Sifting Property of the Impulse
If b>a, then
Example: Another integral problem
Assume a<b, and evaluate the integral
Solution:
We now that the impulse is zero except at t=0 so
,And
Unit Step Function
The unit step function and the impulse function are considered to be fundamental functions in
engineering, and it is strongly recommended that the reader becomes very familiar with both of
these functions.
, The unit step function, also known as the Heaviside function, is defined as such:
Sometimes, u(0) is given other values, usually either 0 or 1. For many applications, it is irrelevant
what the value at zero is. u(0) is generally written as undefined.
Derivative
The unit step function is level in all places except for a discontinuity at t = 0. For this reason, the
derivative of the unit step function is 0 at all points t, except where t = 0. Where t = 0, the derivative
of the unit step function is infinite.
The derivative of a unit step function is called an impulse function. The impulse function will be
described in more detail next.
Integral
The integral of a unit step function is computed as such:
6. Gibbs Phenomenon Simulation.
7. Finding the Fourier Transform of a given signal and plotting its magnitude and phase
spectrum.
8. Locating the Zeros and Poles and plotting the Pole-Zero maps in S-plane and Z-Plane for
the given transfer function.
9. Verification of Sampling Theorem.
10. Checking a Random Process for Stationary in Wide sense.
• Digital System Design Lab:
1. Realization of Boolean expressions using gates.
2. Generation of clock using NAND / NOR gates.
3. Design a 4 – bit adder/subtractor.
4. Design and realization of a 4-bit gray to binary and binary to gray Converter.
5. Design and realization of an 8-bit parallel load and serial out shift register using flip-flops.
6. Design and realization of a synchronous and asynchronous counter using flip-flops.
7. Design and realization of 8x1 MUX using 2x1 MUX.
8. Design and realization of 4-bit comparator.
9. Design a Ring counter and Twisted ring counter using a 4-bit shift register
10. Design and Realization of a sequence detector-a finite state machine.
Note:
• All the Basic Simulation Lab experiments are to be simulated using MATLAB/SCI LAB or
equivalent software.
• Minimum of 14 experiments (7 from Basic Simulation and 7 from Digital System Design Lab) are
to be completed.
, EXPERMENT NO: 1
GENERATION OF VARIOUS SIGNALS&SEQUENCES
AIM: -To write a “MATLAB” Program to generate various signals and sequences, such as unit
impulse, unit step, unit ramp, sinusoidal, square, saw tooth, triangular, sinc signals.
SOFTWARE REQURIED:-
1. MATLAB R2010a.
2. Windows XP SP2.
THEORY:-
One of the more useful functions in the study of linear systems is the "unit impulse function." An
ideal impulse function is a function that is zero everywhere but at the origin, where it is infinitely
high. However, the area of the impulse is finite. This is, at first hard to visualize but we can do
so by using the graphs shown below.
Key Concept: Sifting Property of the Impulse
If b>a, then
Example: Another integral problem
Assume a<b, and evaluate the integral
Solution:
We now that the impulse is zero except at t=0 so
,And
Unit Step Function
The unit step function and the impulse function are considered to be fundamental functions in
engineering, and it is strongly recommended that the reader becomes very familiar with both of
these functions.
, The unit step function, also known as the Heaviside function, is defined as such:
Sometimes, u(0) is given other values, usually either 0 or 1. For many applications, it is irrelevant
what the value at zero is. u(0) is generally written as undefined.
Derivative
The unit step function is level in all places except for a discontinuity at t = 0. For this reason, the
derivative of the unit step function is 0 at all points t, except where t = 0. Where t = 0, the derivative
of the unit step function is infinite.
The derivative of a unit step function is called an impulse function. The impulse function will be
described in more detail next.
Integral
The integral of a unit step function is computed as such:
