A signal f(t) is sampled at a rate of wo rad/s to give a sampled signal fs(t). The Fourier transform of f(t) is F (w) is shown graphically in Figure A1. Sketch the spectrum of the sampled signal, denoted by F(w), for the cases: wo > 2wm, wo = 4wm/3, and wo = wm. In each case, indicate the spectrum that appears at the output of an ideal reconstruction filter. 1 F(w) -@m -0/3 0 00/3 Figure A1: Fourier transform of f(t). @ m 3 (0) C

A signal f(t) is sampled at a rate of wo rad/s to give a sampled signal fs(t). The Fourier transform of f(t) is F (w) is shown graphically in Figure A1. Sketch the spectrum of the sampled signal, denoted by F(w), for the cases: wo > 2wm, wo = 4wm/3, and wo = wm. In each case, indicate the spectrum that appears at the output of an ideal reconstruction filter. 1 F(w) -@m -0/3 0 00/3 Figure A1: Fourier transform of f(t). @ m 3 (0) C

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

a) Make a plot of the normalized fft magnitude as a function of frequency (real frequency in Hz). Only display the frequency range between -1kHz and 1kHz. b) On the same figure as part (c), superimpose the magnitude of the Fourier series coefficients, |??|, as a function of frequency as a stem plot. Again, only display the frequency range between -1kHz and 1kHz. How well do they compare? Hint*: Consider making a frequency vector containing only the Fourier harmonic frequencie
If we want to get the amplitude spectrum of a 1 second signal sampled with Fs = 1000 Hz using the FFT (Fast Fourier Transform) algorithm with the condition that the minimum frequency resolution Δf is 1Hz, how much additional zero sequence (Zero - padding) must be given?
A given FM transmitter is modulated with a single sinusoid, the output for no load power is 100W into 50Ω resistive load. Then, the frequency of the modulating signal is carefully adjusted from zero until the modulated carrier encountered its zero amplitude as observed in spectrum analyzer. Under these conditions, determine the: (Use the provided Bessel table) a. the modulation index and the number of significant sideband b. total power on its significant sidebands. c. relative total power of the carrier and each of sideband. Ans. (a) Mf =2.4, N=5; (b) 99.86 W; b Pc=0W, P1=27.04W, P2=18.49W, P3=4W, P4=0.36W, P5=0.04W
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.
A signal given by m(t) = 3cos(20πx103t) frequencymodulates a 1MHz carrier signal to produce a frequency deviation of 40KHz. Assume the carrier amplitude is 5V. a) Determine the modulation index. b) Write the time domain expression for the resulting FM signal ΦFM(t). c) What is the bandwidth of the signal.
Question-1) Since a = 9 in the signal whose frequency domain amplitude spectrum is given below, when 7,938 MHz is substituted for f in the fourier transform Xs(f) of the sampled state of this signal, which is sampled with a minimum sampling frequency of 12.69 MHz (in Xs(7.938) MHz) ) find the obtained amplitude value.(Note-1: Do not show the effect of sampling frequency fs in your answer. That is, do not multiply the amplitude value by fs.) NOTE: If the information in the text and the photo is different, please solve the question using the information given in the photo. Please help urgently.
A signal consists of a fundamental frequency of 500 Hz, and the lowest five harmonics: 1000 Hz, 1500 Hz, 2000 Hz, 2500 Hz, 3000 Hz. a) What is the Nyquist frequency? b) What is the minimum sampling frequency? c) What is the maximum frequency resolution? d) What is the minimum number of samples? e) What is the minimum number of samples for Fast Fourier Transformation?
An analog signal xa(t) has a continuous fourier transform that follows the attached image. If the signal is sampled at 600 samples/sec, the DTFT is the second image. What's the sketch of the spectrum Xa(F) of the origial analog signal?
1. What does the Fourier series analysis tells us about digital signal? Explain your answer. 2. Explain why digital signals are also prone to attenuation. 3. Does a PCM signal have a smaller bandwidth? Why or Why not? 4. Why digital signals are more immune to noise than analog signals?
Which of the following is not a property of a Fourier Transform? Choices: a.) Modulationb.) Convolutionc.) Frequency Integrald.) Scaling
For the causal discrete-time LTI system implemented using thedifference equation y[n] =-0.25y[n-1]+0.15y[n-2]+4x[n]+0,25x[n-1] where x[n] is the input signal, and y[n] is the output signal. a) Draw the direct form-II block diagram of the system. b) Find the transfer function of the system, H(z). c) Sketch the pole-zero diagram and indicate the ROC. Determine if the Fouriertransform of the system H(ejw) exists. If the Fourier transform exists, write H(ejw).
For the message signal spectrum Fm(f) and the system given below, answer the following. ( fc >> B ) a) Find the Fourier transform of f2(t). ( F2(f) = ? )b) Sketch the amplitude spectrum of f2(t), ( |F2(f)| ).c) Can this system be used as a modulator for DSB-SC AM (Double Side-Band Suppressed Carrier Amplitude Modulation). If so, explain how it can be used? What is the smallest value for fc for this purpose?