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b) Determine whether or not each of the following signals is periodic. If they are periodic, find their fundamental periods. x(1) = sin (1) and x[n]= e'(z/4)n

b) Determine whether or not each of the following signals is periodic. If they are periodic, find their fundamental periods. x(1) = sin (1) and x[n]= e'(z/4)n

Introductory Circuit Analysis (13th Edition)
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
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b) Determine whether or not each of the following signals is periodic. If they are periodic, find their fundamental periods. x(t) = sin´(t) and x[n]= e'(x/4)n 3.) Determine memoryless, time invariant, linear, causal and stable properties of the following system (x(t): input and y(t): output). multiplier XCH) yCt) = XCH) Cos(Wct) @Cosfuct)!
Transcribed Image Text:b) Determine whether or not each of the following signals is periodic. If they are periodic, find their fundamental periods. x(t) = sin´(t) and x[n]= e'(x/4)n 3.) Determine memoryless, time invariant, linear, causal and stable properties of the following system (x(t): input and y(t): output). multiplier XCH) yCt) = XCH) Cos(Wct) @Cosfuct)!
4.) Consider an LTI system with impulse response h[n] and input x[n] as illustrated in figures below. Find the output of the system (y[n]=x[n]*h[n]). 2 19 -> 2 3 4 5 4 -3 -2 -1° 2. n 5.) a) Show that a discrete time signal x[n] can be represented in terms of unit impulse function 8[n]. b) Show that a continuous time signal x(t) can be represented in terms of unit impulse function 8(t).
Transcribed Image Text:4.) Consider an LTI system with impulse response h[n] and input x[n] as illustrated in figures below. Find the output of the system (y[n]=x[n]*h[n]). 2 19 -> 2 3 4 5 4 -3 -2 -1° 2. n 5.) a) Show that a discrete time signal x[n] can be represented in terms of unit impulse function 8[n]. b) Show that a continuous time signal x(t) can be represented in terms of unit impulse function 8(t).
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