315. Consider a continuous-time ideal lowpass filter S whose frequency response isH(j@) =1, w< 1000, w> 100%DWhen the input to this filter is a signal x(t) with fundamental period T = T/6 andFourier series coefficients a, it is found thatx(t) → y(t) = x(t).0?%DFor what values of k is it guaranteed that arClungboun in Figure P3.16 for the following periodic

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Consider a continuous-time ideal lowpass filter S whose frequency response is H(j@) = { 1, < 100 0, w|> 100 When the input to this filter is a signal x(t) with fundamental period T = Fourier series coefficients ak, it is found that T/6 and x(t) y(t) = x(t). = 0? For what values of k is it guaranteed that ar = m 16 for the following periodic

Consider a continuous-time ideal lowpass filter S whose frequency response is H(j@) = { 1, < 100 0, w|> 100 When the input to this filter is a signal x(t) with fundamental period T = Fourier series coefficients ak, it is found that T/6 and x(t) y(t) = x(t). = 0? For what values of k is it guaranteed that ar = m 16 for the following periodic

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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Impulse response of an LTI system is given by h(n)=δ(n+2)-2δ(n+1)+3δ(n)-2δ(n-1)+δ(n-2) = {1,-2,3,-2,1} a) Give the system function H(z), its ROC, and the frequency response H(ejω). Is this system stable? causal? Explain b) Obtain the spectrum, X(ejω), of x(n) = 3δ(n)+ 2sin(0.4 π n) + cos(0.8 π n) by using DTFT. Then calculate X(z). c) x(n) is applied to the LTI system h(n). Find the output spectrum Y(ejw) and Y(z).
y[z]=6cos2(pi×z/4)a.The above equation shows a discrete time signal, y[z] from a device, determine the four point DFT of the sequence.H(ejw) = {1, 0≤|w|≤wC {0, WC |W|< π b.The expression above shows the DTFT of a lowpass filter system. In order to get the impulse response h[n], determine the inverse DTFT of the system
For the sampled signal ws(n) = 12 + 8 cos((1/4)πn + 0.1) + 12 sin((3/4)πn − 0.2) generated by sampling w(t) at t = nT at a sampling frequency of fs = 1/T = 600 Hz, find expressions for w(t) with the following restrictions:a) Component frequencies range from 0 Hz to 300 Hzb) Component frequencies range from 300 Hz to 600 Hzc) Component frequencies range from 600 Hz to 900 Hz
An analog signal is given as x(t) = 5 + 2 cos(20πt) + 3cos(400 πt). a) What is the bandwidth of x(t)? Determine the Nyquist sampling frequency for x(t), both in radian/sec (ws), and in Hz (Fs).b) Formulate Xp (jw), the signal sampled with the Nyquist frequency. c) Plot frequency spectrum of the the sampled signal, Xp (jw). d) Determine the filter to reconstruct the signal x(t). e) Is it possible to reconstruct the signal x(t) for Ts =0.004 [s]? State that if aliasing error occurs or not.
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A continuous time signal, x(t) = sin(20πt) + cos(40πt), is sampled uniformly at intervals of T to obtaina discrete time signal,x(n) = sin(πn/5) + cos(2πn/5).a) What is the value of T assuming no aliasing has occurred?b) Assume both frequency components have been aliased. In this case, is your choice of T unique? If not,specify some choices of T consistent with the information given
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1. Derive expression for propagation constant of T and π networks terminated through their characteristics impedance. 2. Calculate the elements of a high pass filter whose cut off frequency is 1000Hz and the product of their reactances is 600Ω
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