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10.22. Consider a discrete-time LTI system described by the difference equation - - y[n] 0.7y[n 1] = 2.5x[n] − x[n − 1]. (a) Draw the form I realization (block diagram) for this system. (b) Determine the impulse response h[n], 0 ≤ n ≤ 4, for the system. Chap. 10 Problems 543 (c) Verify the results of part (b) by tracing the impulse function through the block di- agram of part (a). (d) Suppose that the system input is given by 1, n = -2 x[n] = -3, n = 0 2, n = 1 Express the output y[n] as a function and x[n] is zero for all other values of n. of h[n]. (e) Calculate the output y[n] for n = -3, -1, and 1 for x[n] in part (d) and using the results of part (b).

10.22. Consider a discrete-time LTI system described by the difference equation - - y[n] 0.7y[n 1] = 2.5x[n] − x[n − 1]. (a) Draw the form I realization (block diagram) for this system. (b) Determine the impulse response h[n], 0 ≤ n ≤ 4, for the system. Chap. 10 Problems 543 (c) Verify the results of part (b) by tracing the impulse function through the block di- agram of part (a). (d) Suppose that the system input is given by 1, n = -2 x[n] = -3, n = 0 2, n = 1 Express the output y[n] as a function and x[n] is zero for all other values of n. of h[n]. (e) Calculate the output y[n] for n = -3, -1, and 1 for x[n] in part (d) and using the results of part (b).

Introductory Circuit Analysis (13th Edition)
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
Section: Chapter Questions
Problem 1P: Visit your local library (at school or home) and describe the extent to which it provides literature...
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10.22. Consider a discrete-time LTI system described by the difference equation - - y[n] 0.7y[n 1] = 2.5x[n] − x[n − 1]. (a) Draw the form I realization (block diagram) for this system. (b) Determine the impulse response h[n], 0 ≤ n ≤ 4, for the system. Chap. 10 Problems 543 (c) Verify the results of part (b) by tracing the impulse function through the block di- agram of part (a). (d) Suppose that the system input is given by 1, n = -2 x[n] = -3, n = 0 2, n = 1 Express the output y[n] as a function and x[n] is zero for all other values of n. of h[n]. (e) Calculate the output y[n] for n = -3, -1, and 1 for x[n] in part (d) and using the results of part (b).
Transcribed Image Text:10.22. Consider a discrete-time LTI system described by the difference equation - - y[n] 0.7y[n 1] = 2.5x[n] − x[n − 1]. (a) Draw the form I realization (block diagram) for this system. (b) Determine the impulse response h[n], 0 ≤ n ≤ 4, for the system. Chap. 10 Problems 543 (c) Verify the results of part (b) by tracing the impulse function through the block di- agram of part (a). (d) Suppose that the system input is given by 1, n = -2 x[n] = -3, n = 0 2, n = 1 Express the output y[n] as a function and x[n] is zero for all other values of n. of h[n]. (e) Calculate the output y[n] for n = -3, -1, and 1 for x[n] in part (d) and using the results of part (b).
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