Download PDF by Robert J. Schilling, Sandra L. Harris: Instructor Solution Manual - Fundamentals of Digital Signal

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For the periodic signals, find the period, M . 1πk)µ(k) (g) x(k) = j 2k Solution (a) periodic, M = 100 (b) nonperiodic, (τ = 20π) √ (c) nonperiodic, (τ = 2π/ 3) (d) periodic, M = 16 (e) periodic, M = 10 (f) nonperodic, (causal) (g) periodic, M = 2 © 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.

25 (a) The kth branch (starting from the right) has resistance 2N −k R. For an ideal op amp, the principle of the virtual short circuit says that the voltage drop between the noninverting terminal (+) and the inverting terminal(−) is zero. Thus V = 0. Applying Ohm’s law, current through the kth branch is Ik = = (−Vr − V )bk 2N −k R −Vr bk , 2N −k R 0≤k

30 Write a MATLAB function called u sinc that returns the value of the sinc function sinc(x) = sin(x) x Note that, by L’Hospital’s rule, sinc(0) = 1. Make sure your function works properly when x = 0. Plot sinc(2πt) for −1 ≤ t ≤ 1. 5],’k’) f_wait function y = u_sinc (x) % % % % % % % U_SINC: Implement the sifting function sin(pi*x)/(pi*x) Usage: y = u_sinc (x); Inputs: x = input scalar or vector Outputs: y = sin(pi*x)/(pi*x) for i = 1 : length(x) if abs(x(i)) < eps y(i) = 1; else y(i) = sin(pi*x(i))/(pi*x(i)); end end © 2012 Cengage Learning.

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