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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)

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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 ROBE...

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test bank for fundamentals of digital signal processing using matlab 2nd edition by robert j schilling and sandra l harris
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robert j

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INSTRUCTOR'S SOLUTIONS MANUAL TO ACCOMPANY FUNDAMENTALS OF DIGITAL SIGNAL PROCESSING using MATLAB SECOND EDITION ROBERT J. SCHILLING SANDRA L. HARRIS Contents C h a p t e r 1 1 C h a p t e r 2 5 7 C h a p t e r 3 155 C h a p t e r 4 274 C h a p t e r 5 384 C h a p t e r 6 467 C h a p t e r 7 572 C h a p t e r 8 675 h a p t e r 9 765 C Chapter 1
1.1Suppose the input to an ampliﬁer is xa(t)=si n(2πF0t) and the steady-state output is
ya(t) = 100 sin(2 πF0t+φ1)−2 sin(4 πF0t+φ2) + cos(6 πF0t+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
Py=d2
0
4+1
2/parenleftbig
d2
1+d+22+d2
3/parenrightbig
=.5(10
02+ 22+ 1)
= 5002 .5
(d) From (1.2.5)
THD =100(Py−d2
1/2)
Py
=100(
5002.5−5000)
5002.5
=.05%
1
© 2012 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part.

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