Question 1 Given the two four-point sequences x[n] = [-2, –1,0, 2] and y[n] = [-1, –2, –1, –3]. find the following: (a) x[n]*y[n], the linear convolution; (b) x[n] © y[n], the circular convolution; (c) Ryy[p], the cross-correlation of x[n] and y[n]:
Question 1 Given the two four-point sequences x[n] = [-2, –1,0, 2] and y[n] = [-1, –2, –1, –3]. find the following: (a) x[n]*y[n], the linear convolution; (b) x[n] © y[n], the circular convolution; (c) Ryy[p], the cross-correlation of x[n] and y[n]:
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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100%
![Question 3
Consider the following Amplitude Modulation (AM) Double Sideband
With Carrier (DSB-WC) system:
s(1)
m(t)
c(t) = A̟cos(wt)
a) Write the equation of the modulated signal s(t).
b) Write the equation of the spectrum S(W) of the modulated signal.
c) Assume that m(t) = 5cos(377t), write a MATLAB code to plot the following
message signals: m(t), s(t), and S(w).
d) [2]_ Which type of modulation is applied in the following AM transmitter: DSB-
WC or DSB- SC ?
Antenna
Radio frequency
Audio frequency
Amplifier
Mixer
Input
signal
AM
signal
Microphone
(transducer)
Oscillator](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F6739e1a1-7e10-4252-9dd2-ac878c514ec8%2F669beb3a-2c9c-4f8e-8bf3-1b0ea8de9c17%2F459me7e_processed.png&w=3840&q=75)
Transcribed Image Text:Question 3
Consider the following Amplitude Modulation (AM) Double Sideband
With Carrier (DSB-WC) system:
s(1)
m(t)
c(t) = A̟cos(wt)
a) Write the equation of the modulated signal s(t).
b) Write the equation of the spectrum S(W) of the modulated signal.
c) Assume that m(t) = 5cos(377t), write a MATLAB code to plot the following
message signals: m(t), s(t), and S(w).
d) [2]_ Which type of modulation is applied in the following AM transmitter: DSB-
WC or DSB- SC ?
Antenna
Radio frequency
Audio frequency
Amplifier
Mixer
Input
signal
AM
signal
Microphone
(transducer)
Oscillator
![Question 1
Needs Grading
Given the two four-point sequences
x[n] = [-2, –1,0, 2] and y[n] = [-1, –2, –1, –3].
%3D
find the following:
(a) x[n]*y[n], the linear convolution;
(b) x[n] © y[n], the circular convolution;
(c) Ryy[p], the cross-correlation of x[n] and y[n]:
Question 2
Needs Grading
The four-point DFTS of two discrete-time signals are
X[k] = [22, -4 + j2, –6, –4 – j2]
and
Y[k] = [8, –2 – j2, 0, –2 + j2].
(a) If v[n] = x[n]*y[n], find v[2].
(b) If w[n] = x[n] ® y[n], find w[2].
%3D](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F6739e1a1-7e10-4252-9dd2-ac878c514ec8%2F669beb3a-2c9c-4f8e-8bf3-1b0ea8de9c17%2F227xik_processed.png&w=3840&q=75)
Transcribed Image Text:Question 1
Needs Grading
Given the two four-point sequences
x[n] = [-2, –1,0, 2] and y[n] = [-1, –2, –1, –3].
%3D
find the following:
(a) x[n]*y[n], the linear convolution;
(b) x[n] © y[n], the circular convolution;
(c) Ryy[p], the cross-correlation of x[n] and y[n]:
Question 2
Needs Grading
The four-point DFTS of two discrete-time signals are
X[k] = [22, -4 + j2, –6, –4 – j2]
and
Y[k] = [8, –2 – j2, 0, –2 + j2].
(a) If v[n] = x[n]*y[n], find v[2].
(b) If w[n] = x[n] ® y[n], find w[2].
%3D
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