2. LTI SystemSuppose a system with y[n] as the output and x[n] as the input is defined byy[n] = x[n] – x[n – 1] – x[n – 2]a) Please find the frequency response using Discrete Time Fourier transform. Plotmagnitude and phase vs frequency ob) Is the systems linear phase, why?c) Derive system impulse response h[n]. Let input be x[n] - {1, 2 }. Find the output ofthe system y[n].d) Assume the input x[n] = cos (En) u[n] + cos n) u[n] is applied to this system, whatis the steady state output?

"Since you have posted a question with multiple sub-parts, we will solve first three sub-parts for…

LTI System Suppose a system with y[n] as the output and x[n] as the input is defined by yim) = x[m] – x[n – 1- x[n – 2] a) Please find the frequency response using Discrete Time Fourier transform. Plot magnitude and phase vs frequency . b) Is the systems linear phase, why? c) Derive system impulse response h[n]. Let imput be x|n] - L 21. Find the output of the system y(n]-

LTI System Suppose a system with y[n] as the output and x[n] as the input is defined by yim) = x[m] – x[n – 1- x[n – 2] a) Please find the frequency response using Discrete Time Fourier transform. Plot magnitude and phase vs frequency . b) Is the systems linear phase, why? c) Derive system impulse response h[n]. Let imput be x|n] - L 21. Find the output of the system 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...

See similar textbooks

Similar questions

An analog signal x(t) = cos(320rt) + 2 cos(480t) – cos(960at ) is sampled with sampling frequency of 640 samples per second. a. Find the Nyquist frequency and Nyquist rate in Hz. b. Draw the Continuous Fourier Transform of x(t) c. Find the sampled discrete signal x[n] d. Draw the DTFT of x[n]. Find the frequencies present in the discrete signal and explain your observations
I WANNA ASK YOU THE D OPTION.
Determine the Nyquist rate of a signal whose frequency spectrum is given by ¤(f) = r(f) – 2r(f – 1000) + 2r(f – 3000) – r(f – 4000), where r(f) is the unit ramp function in the frequency domain. O a. 6 kHz O b. 12 kHz O c. 3 kHz O d. 2 kHz O e. 4 kHz Of. 8 kHz A sampling process uses a sampling rate of fg. Determine which of the following input signal frequencies will not be aliased to 0.4f, if it undergoes the said process. О а. 1.6f, оБ. 2.4f. Ос. 1.4f. O d. 1.8f, A continuous-time signal is composed of in-phase sinusoids with periods of 1 ms, 2 ms, and 4 ms. Determine the maximum sampling period allowed to avoid aliasing. O a. 0.4 ms O b. 0.5 ms Oc. 0.2 ms O d. 0.1 ms O e. 0.8 ms Of. 1.0 ms
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) An analog signal x(t) = cos(320rt) + 2 cos(480tt) – cos(960at ) is sampled with sampling frequency of 640 samples per second. a. Find the Nyquist frequency and Nyquist rate in Hz. b. Draw the Continuous Fourier Transform of x(t) c. Find the sampled discrete signal x[n] d. Draw the DTFT of x[n]. Find the frequencies present in the discrete signal and explain your observations
The question is in the atteched.
1) An analog signal x(t) = cos(320rt) + 2 cos(480rt)- cos(960zt ) is sampled with sampling frequency of 640 samples per second. a. Find the Nyquist frequency and Nyquist rate in Hz. b. Draw the Continuous Fourier Transform of x(t) c. Find the sampled discrete signal x[n] REDMI NOTE 8 PRO AI QUAD CAMERA d. Draw the DTFT of x[n]. Find the frequencies present in the discrete signal and explain your observations
One wants to optain Fast Fourier Transform (FFT) of an array. a) For this purpose, obtain the Butterfly-2 (Radix-2) approach with Decimation-in-Time step by step and determine the necessary procedures. Obtain the number of operations. b) Given x(n) = {0,4,2,3,0,3,2,4} array, find FFT and obtain number of operation.
Only hand written solution