communication Q2) A signal m(t) has a Fourier transform1.fi < If[< fz• fi =1 kHz ; f2= 10 kHzM(f)0.ElsewhereSuppose we form a signal y(t) = m(t) cos 2n(106)t. Find the range of frequencies forwhich y(t) has nonzero spectral components. Also find the ratio of the highest to lowestfrequencies [ for which | Y(f)|+ 0] of y(t). Compare this ration with f2/f1. Is y(t) anarrowband signal ? ( A bandpass signal is said to be narrow band signal if fnigh/flow «1).%3D

First we will find out frequency response for y(t) then we will find out frequency range for which…

Answered: Q2) A signal m(t) has a Fourier…

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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Let's examine the function g(t)= {Go for - π < t < -( π/2), {-Go for -( π/2) < t < ( π/2), {Go for ( π/2) < t < π, which is characterized by being 2 π-periodic. Firstly, without mathematical calculations, clarify why every bn value must be 0. Secondly, sketch the g(t) graph within the range of [-4 π,4 π]. Thirdly, express the Fourier expansion of g(t). Lastly, plot the g(t) using the first 3, 5, 10, 15, 20, and 25 terms of the series. At what point does the graph start resembling your initial sketch in the first question?
a) Calculate the discrete time Fourier transform of the g1[n] sign given in the 1st photo. Fourier of signs g2[n] and g3[n]Express the transforms in terms of the discrete time Fourier transform of the g1[n] sign. b) The discrete time x[n] sign is given as x[n]={1, 2, 0, 2, 1}, -2≤n≤2. Discrete time Fourier transform of sequence X(ejw)let it be. According to this; Attached in the 2nd photoCalculate the values.
a. Show that 2-D discrete Fourier Transform of a M × N digital image is periodic.That is, you must prove that F(u + M, v + N) = F(u, v). b. Suggest two methods to bring the frequency origin of a discrete Fourier Transform of an image to the center ofthe 2-D array of frequency plane.
Calculate the Discrete-Space Fourier Transform of ℎ(?1, ?2) from the image provided.
Let x(t) = sin^2(2pit), a periodic signal of fundamental period T0 = 1, and y(t) = |sin(2pit)| also periodic of the same fundamental period (a) A trigonometric identity gives that x(t) = 0.5[1-cos(4pit)]. Use this result to find its complex exponential Fourier series (b) Use the Laplace transform to find the Fourier series of y(t) (c) Are x(t) and y(t) identical? Explain. (d) Indicate how you would use an ideal low-pass filter to get a dc source from x(t) and y(t). Indicate the bandwidth and magnitude of the filters. Which of these two signals is used for generating full-waved rectified dc source?
Consider the periodic signal ?(?) given by the expression x(t) = (2 + 2j)[e^(−j3t)] – 3j[e^(−j2t)] + 5 +3j(e^(j2t) + (2 – 2j)e^(j3t) . a) What is the fundamental frequency of x(t)? b) Find and plot the magnitude and phase of the Fourier series coefficients as a function of frequency. c) Is x(t) a real signal? Why? d) Compute the total power of x(t) using Parseval’s relation.
Type using Kepord or will dislike can anyone explain what the discussion could be make from the graphs respectively ? question : the fourier transform of the rectangular function numerically by sampling it 256 times over the time interval 0<= t < 0.2.
Given the finite-duration sequence below, x[n]={-4,1,2,0,3} where -4 is when n=0, if it has a fourier transform of X(w) , what is the value of X(0)?
Suppose there is a sequence x[n] = [2, -1, 0, c, 1] where the value of c is unknown. X[k] is the DFT of x[n]. Let Y[k] = X[k]exp(i6πk/5). The inverse fourier transform of Y is y[n] = [2, 1, 2, -1, 0]. What is the value of c?
a. Which of the following is true? The Fourier transform of a unit rectangular pulse is A. real. B. not oscillating. C. complex. D. neither real nor complex. b. Which of the following is true? For system and signal operations, the symbol “*” is typically shared between A. convolution and complex conjugate. B. linear combination and complex conjugate. C. orthogonality and complex conjugate. D. multiplication and complex conjugate. c. Which of the following is true? The Fourier transform is based on A. The Fourier series by substituting the signal x(t) into Fourier coefficient’s expression. B. The Fourier series by substituting the Fourier coefficient’s expression into a random signal which is periodic over a defined period. C. The Fourier series by substituting the Fourier coefficient’s expression into x(t). D. The Fourier series because this is a logical process.
1- Which one of the following pair of antennas are functionally same. a- Parabolic reflector and lense antenna b- Array & parabolic reflector antenna c- Aperture and Parabolic reflector antenna d- None of the above. 2- Inverse Fourier transform on Maxwell's equation is to transform signal from frequency domain to time domain. true or false
The discrete time periodic signal x(n)={2,1,-4,2} has the Fourier coefficients given as ck=(c-8,c-7,c-6,6-j,c-4,c-3,-5,c-1,c0,c1,-5,6-j) .Find the missing coefficients and plot its magnitude spectrum for -8≤k≤3.

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