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Determine whether the following discrete-time signals are periodic, and, if so, state the fundamental period, No. a. a[n] = 0.5 cos("/6n+"/3) b. b[n] = E=-0 8[n – 6k] c. c[n] = 0.5 sin(3n)

Determine whether the following discrete-time signals are periodic, and, if so, state the fundamental period, No. a. a[n] = 0.5 cos("/6n+"/3) b. b[n] = E=-0 8[n – 6k] c. c[n] = 0.5 sin(3n)

Introductory Circuit Analysis (13th Edition)
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
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Determine whether the following discrete-time signals are periodic, and, if so, state the fundamental period, No. a. a[n] = 0.5 cos("/6n+"/3) b. b[n] = E=-0 8[n – 6k] c. c[n] = 0.5 sin(3n) A continuous valued 9 kHz sinusoid is sampled at a rate of 48k samples/sec to produce a sequence x[n]. Determine if the sequence is periodic and if so, what is No, the period. Let x[n] 0.8"u[n] and y[n] = (-0.8)"u[n] Plot x[n] and y[n] for n = -2, -1, ... , 4, 5 b. Find En=-ox[n] Find En=-o y[n] а. c. Find the energy in x[n] Find the energy in y[n] d. е. A discrete time system is described by the difference equation y[n] : x[n] is the input and y[n] is the output. Plot y[n] for: х[п] — x[п — 1], where а. x[n] = 8[n] b. x[n] = u[n] - [n – 3]
Transcribed Image Text:Determine whether the following discrete-time signals are periodic, and, if so, state the fundamental period, No. a. a[n] = 0.5 cos("/6n+"/3) b. b[n] = E=-0 8[n – 6k] c. c[n] = 0.5 sin(3n) A continuous valued 9 kHz sinusoid is sampled at a rate of 48k samples/sec to produce a sequence x[n]. Determine if the sequence is periodic and if so, what is No, the period. Let x[n] 0.8"u[n] and y[n] = (-0.8)"u[n] Plot x[n] and y[n] for n = -2, -1, ... , 4, 5 b. Find En=-ox[n] Find En=-o y[n] а. c. Find the energy in x[n] Find the energy in y[n] d. е. A discrete time system is described by the difference equation y[n] : x[n] is the input and y[n] is the output. Plot y[n] for: х[п] — x[п — 1], where а. x[n] = 8[n] b. x[n] = u[n] - [n – 3]
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