Exercise 10: Determine the DTFT of the following sum of two right-sidedexponential signalsx[n] = (0.8)”u[n](0.8)"u[n] + 2(−0.5)”u[n]

Answered: Exercise 10: Determine the DTFT of the…

Introductory Circuit Analysis (13th Edition)

13th Edition

ISBN:9780133923605

Author:Robert L. Boylestad

Publisher:Robert L. Boylestad

Chapter1: Introduction

Section: Chapter Questions

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Exercise 10: Determine the DTFT of the following sum of two right-sided
exponential signals
x[n] = (0.8)”u[n]
(0.8)"u[n] + 2(−0.5)”u[n]

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A mathematical relationship's ability to be visually depicted as a straight line is known as linearity. Proportionality and linearity are closely linked concepts. DTFT matching continuous-frequency spectra in the complex plane defined over the unit circle. The Fourier transform commutes with mixing is one observation that may be used to explain the linearity feature. While the discrete Fourier transform (DFT), by far the most popular technique in contemporary Fourier analysis, may easily produce discrete samples of the DTFT, which is itself a continuous function of frequency. The real and imaginary sections of the complex exponential are entirely sinusoidal if the complex exponential's magnitude is constant, meaning they do not increase or decrease with time.

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