MAT.SCIENCE+ENGIN.(PERUSALL ACCESS)
10th Edition
ISBN: 2818440149658
Author: Callister
Publisher: PERUSALL
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Chapter 4, Problem 18QAP
To determine
The composition of an alloy in atom percent.
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2.52. The step response s(t) of a continuous-time LTI system is given by
s(1) = [cos wol ]u(1)
Find the impulse response h(t) of the system.
Ans. h(t)=8(1) - wo[sin w₁t]u(t)
2.48. Show that if y(t) = x(t)* h(t), then
y' (t) = x' (1) * h(t) = x(t) * h'(t)
Hint: Differentiate Eqs. (2.6) and (2.10) with respect to t.
2.49.
Show that
x(1) * 8'(t) = x(t)
Hint: Use the result from Prob. 2.48 and Eq. (2.58).
2.47. Compute the convolution sum y[n] = x[n]+h[n] of the following pairs of sequences:
(a) x[n] = u[n], h[n] = 2"u[n]
(b) x[n]=u[n]-u[n-N], h[n]=a"u[n], 0 < a <1
(c) x[n]=()"u[n], h[n] = 8[n] - 8[n-1]
Chapter 4 Solutions
MAT.SCIENCE+ENGIN.(PERUSALL ACCESS)
Ch. 4 - Prob. 1QAPCh. 4 - Prob. 2QAPCh. 4 - Prob. 3QAPCh. 4 - Prob. 4QAPCh. 4 - Prob. 5QAPCh. 4 - Prob. 6QAPCh. 4 - Prob. 7QAPCh. 4 - Prob. 8QAPCh. 4 - Prob. 9QAPCh. 4 - Prob. 10QAP
Ch. 4 - Prob. 11QAPCh. 4 - Prob. 12QAPCh. 4 - Prob. 13QAPCh. 4 - Prob. 14QAPCh. 4 - Prob. 15QAPCh. 4 - Prob. 16QAPCh. 4 - Prob. 17QAPCh. 4 - Prob. 18QAPCh. 4 - Prob. 19QAPCh. 4 - Prob. 21QAPCh. 4 - Prob. 24QAPCh. 4 - Prob. 25QAPCh. 4 - Prob. 28QAPCh. 4 - Prob. 36QAPCh. 4 - Prob. 39QAPCh. 4 - Prob. 40QAPCh. 4 - Prob. 41QAPCh. 4 - Prob. 42QAPCh. 4 - Prob. 43QAPCh. 4 - Prob. 44QAPCh. 4 - Prob. 46QAPCh. 4 - Prob. 47QAPCh. 4 - Prob. 48QAPCh. 4 - Prob. 1DPCh. 4 - Prob. 2DPCh. 4 - Prob. 1SSPCh. 4 - Prob. 2SSPCh. 4 - Prob. 3SSPCh. 4 - Prob. 4SSPCh. 4 - Prob. 1FEQPCh. 4 - Prob. 2FEQPCh. 4 - Prob. 3FEQP
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