4) Compute and sketch the output y(t) of the continuous-time LTI system with impulse response h(t) = e1-tu(t – 1) for an input signal x(t) = u(t) – u(t – 3). Both analytically and graphical method %3D

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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Can you solve this 4 problem please 

3) Determine and sketch the convolution of the following two signals both analytically and graphical
method:
{
t + 1,
2 - t,
0 <t<1
1<t< 2
x(t)
%3|
0,
elsewhere
h(t) = 8(t + 2) + 28(t + 1)
4) Compute and sketch the output y(t) of the continuous-time LTI system with impulse response
h(t) = e1-tu(t – 1) for an input signal x(t) = u(t) – u(t – 3). Both analytically and graphical
method
Transcribed Image Text:3) Determine and sketch the convolution of the following two signals both analytically and graphical method: { t + 1, 2 - t, 0 <t<1 1<t< 2 x(t) %3| 0, elsewhere h(t) = 8(t + 2) + 28(t + 1) 4) Compute and sketch the output y(t) of the continuous-time LTI system with impulse response h(t) = e1-tu(t – 1) for an input signal x(t) = u(t) – u(t – 3). Both analytically and graphical method
1) Let x[n] = 8[n] + 28[n – 1] – 8[n – 3] and h[n] =
each of the following convolutions using graphical illustration.
a) yı[n] = x[n] * h[n]
b) y2[n] = x[n + 2] * h[n]
с) Уз[п] 3 x[] * h[n + 2]
2) Consider an input x[n] and a unit impulse response h[n] given by
28[n + 1] + 28[n – 1]. Compute and plot
-
%3D
х[п] %3D (1/2)(п-2u(n — 2]
hln] %3D и(n + 2]
Determine and plot the output y[n] = x[n] * h[n]. Both analytically and graphical method
Transcribed Image Text:1) Let x[n] = 8[n] + 28[n – 1] – 8[n – 3] and h[n] = each of the following convolutions using graphical illustration. a) yı[n] = x[n] * h[n] b) y2[n] = x[n + 2] * h[n] с) Уз[п] 3 x[] * h[n + 2] 2) Consider an input x[n] and a unit impulse response h[n] given by 28[n + 1] + 28[n – 1]. Compute and plot - %3D х[п] %3D (1/2)(п-2u(n — 2] hln] %3D и(n + 2] Determine and plot the output y[n] = x[n] * h[n]. Both analytically and graphical method
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