Q₁-- a) The discrete time signal x[n] is defined by Find y[n] = x [2n + 3] Q₂-- x[n] = 1, -1, Sketch the continuous-time signal; n = 1,2 n = -1,-2 n = 0 and [n] > 2 Consider the system y(t) = x(t)cos (wt). Determine whether it is (a) memoryless, (b) causal, (c) linear, (d) time-invariant, or (e) stable. Q3-- x(t)= (t+1) u(t-1)-tu(t)-u(t-2) Q4- The input x[n] and the impulse response h[n] of a discrete-time LTI system are given by x[n] = u[n] h[n] = a¹u[n]

Introductory Circuit Analysis (13th Edition)
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Author:Robert L. Boylestad
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Chapter1: Introduction
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a) The discrete time signal x[n] is defined by
1,
1,
n = 0 and |n| > 2
n = 1,2
п %3 —1,—2
x[n] =
Find y[n] = x[2n + 3]
Q2-
Consider the system y(t) = x(t)cos(wt). Determine whether it is (a) memoryless, (b) causal, (c )
linear, ( d ) time-invariant, or ( e ) stable.
%3D
Q3-
Sketch the continuous-time signal;
x(t)= (t+1) u(t-1) – t u(t) – u(t-2)
Q4- The input x[n] and the impulse response h[n] of a discrete-time LTI system are given by
x[n] = u[n]
h[n] = a"u[n]
%3D
Transcribed Image Text:a) The discrete time signal x[n] is defined by 1, 1, n = 0 and |n| > 2 n = 1,2 п %3 —1,—2 x[n] = Find y[n] = x[2n + 3] Q2- Consider the system y(t) = x(t)cos(wt). Determine whether it is (a) memoryless, (b) causal, (c ) linear, ( d ) time-invariant, or ( e ) stable. %3D Q3- Sketch the continuous-time signal; x(t)= (t+1) u(t-1) – t u(t) – u(t-2) Q4- The input x[n] and the impulse response h[n] of a discrete-time LTI system are given by x[n] = u[n] h[n] = a"u[n] %3D
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