Exam (elaborations) TEST BANK FOR Fundamentals of Digital Signal Processing Using MATLAB 2nd Edition By Robert J. Schilling and Sandra L. Harris (Instructor Solution Manual)

, INSTRUCTOR'S SOLUTIONS MANUAL
TO ACCOMPANY



FUNDAMENTALS OF
DIGITAL SIGNAL PROCESSING
using MATLAB

SECOND EDITION



ROBERT J. SCHILLING

SANDRA L. HARRIS

, Contents
Chapter 1 1

Chapter 2 57

Chapter 3 155

Chapter 4 274

Chapter 5 384

Chapter 6 467

Chapter 7 572

Chapter 8 675

Chapter 9 765

, Chapter 1
1.1 Suppose the input to an amplifier is xa (t) = sin(2πF0 t) and the steady-state output is


ya (t) = 100 sin(2πF0 t + φ1 ) − 2 sin(4πF0 t + φ2 ) + cos(6πF0 t + φ3 )



(a) Is the amplifier a linear system or is it a nonlinear system?
(b) What is the gain of the amplifier?
(c) Find the average power of the output signal.
(d) What is the total harmonic distortion of the amplifier?


Solution


(a) The amplifier is nonlinear because the steady-state output contains harmonics.
(b) From (1.1.2), the amplifier gain is K = 100.
(c) From (1.2.4), the output power is


d20 1 2
d1 + d+ 22 + d23


Py = +
4 2
= .5(1002 + 22 + 1)
= 5002.5

(d) From (1.2.5)


100(Py − d21 /2)
THD =
Py
100(5002.5 − 5000)
=
5002.5
= .05%




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