Оиestion 4Consider the two signals c1(t) = cos(105nt) and c2(t) = sin(10 nt). Consider also the two signals, m1(t)and m2(t) with the following spectrum.M2(f)-50005000-500050001) Draw the real and the imaginary parts of the spectrum of z(t) = m1(t)c1(t) + m2(t)c2(t).2) If z(t) is multiplied by c1 (t), then integrated (or equivalently, passed through a LPF), what will bethe output signal?3) Repeat the previous part if z(t) is multiplied by c2(t) instead.

Answered: Image /qna-images/answer/7bf2fc7f-baf3-46cd-8dc8-5df9a1de656c.jpg

Consider the two signals c1(t) = cos(105nt) and c2(t) = sin(10°t). Consider also the two signals, m1(t) and m2(t) with the following spectrum. M{(f)| M2(f) 5000 f→ 5000 f→ -5000 |0 -5000 |0 1) Draw the real and the imaginary parts of the spectrum of z(t) = m1(t)cı (t) + m2(t)c2(t). 2) If z(t) is multiplied by c1 (t), then integrated (or equivalently, passed through a LPF), what will be the output signal? 3) Repeat the previous part if z(t) is multiplied by c2(t) instead.

Consider the two signals c1(t) = cos(105nt) and c2(t) = sin(10°t). Consider also the two signals, m1(t) and m2(t) with the following spectrum. M{(f)| M2(f) 5000 f→ 5000 f→ -5000 |0 -5000 |0 1) Draw the real and the imaginary parts of the spectrum of z(t) = m1(t)cı (t) + m2(t)c2(t). 2) If z(t) is multiplied by c1 (t), then integrated (or equivalently, passed through a LPF), what will be the output signal? 3) Repeat the previous part if z(t) is multiplied by c2(t) instead.

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...

See similar textbooks

Similar questions

You are given the baseband signals (i) m(t)=cos(1000πt), (ii) m(t)=2cos(1000πt)+sin(2000πt), (iii) m(t)=cos(1000πt)cos(3000πt), (iv) m(t)=exp(-10|t|). For each one, do the following. a) Sketch the spectrum of m(t) b)Sketch the spectrum of the DSB-SC signal cos(10000πt) c) Identify the upper sideband (USB) and the lower sideband (LSB) spectra
Communication Systems An amplitude modulated signal is defined as u (t) = [20 + 2cos3000(Pi)t + 10cos 6000(Pi)t] cos2(Pi) fct. Here fc = 105 Hz. a) Write the expression of u (t) in the frequency domain. b) Draw the spectrum of u (t).
For each of the following signals:a) x(t)=4 Cos(5πt)b) x(t)= 4 Cos (5πt-π/4)c) x[n]= 4 cos(πn-2)d) x[n]= 2 sin(3n)Analytically, determine whether these signals are periodic (if periodic, state theperiod) or non- periodic and also sketch the signals.
Systems and signals ، Fourier series،my id 441816218 , T=4+8=12
Solve the Fourier Transform of the following signals. complete solution. Box final answer
Consider the signal x(t) = 3/ 2 cos ( (2π/ 7) t − 4/5) + 9/11 cos (( 4π /15) t + 5π/ 6 ) . where the unit of time is s. This signal is periodic with fundamental period T0 = 105 s What would be the highest frequency in x(t) and the Nyquist rate? Would it be 1/To for the frequency, and that by 3 for the Nyquist? Thank you for your time and help.
The signal continuous x(t) is given by the following equation: (image 001) The signal will be passed through a frequency shaping filter which has an impulse response: (image 002) a) With the help of the Fourier Transform table, determine the spectrum of x(t) and provide a plot for that spectrum (if needed you can provide a magnitude plot and a phase plot for the spectrum). b) With the help of the Fourier Transform table, determine the frequency response of the frequency shaping filter above and provide a plot for the frequency response (if needed you can provide a magnitude plot and a phase plot for the frequency response). c) If the output of the frequency shaping filter above is a signal y(t), then determine both y(t) and the representation of y(t) in the frequency region or spectrum of y(t). Provide a plot for the spectrum of y(t) (if needed you can provide a magnitude plot and a phase plot for the spectrum). Note: if necessary, use the help of the Fourier Transform Table
QI: For the signal f(t), shown in figure beside. i) Find Fourier Transform F(w) ii) Sketch amplitude and phase spectrum of F(w)
Which of the given signals are periodic?a) x(t) = 4 cos(5πt)b) x(t) = u(t) – 1/2c) x(t) = 4u(t) + 2sin(3t)d) x[n] = 2sin(3n)
Obtain an expression for i valid for t>0 IN THE FREQUENCY DOMAIN ..
The Inverse Fast Fourier Transform (IFFT) produces a _____ from a _____ : a. spectrum, time domain signal b. complex array, time domain signal c. time domain signal, complex array d. none of the above
Given x(n) = (0.85e^(jπ /3))^(n) , -10<= n <= 10 find X(ejw) also, find periodicity and conjugate-symmetry properties.