Consider the following signals.x[n] ==πηsin (™) (¹)¹u[n – 2]Identify the DTFT of the signal x[n]. O1-(²) e-tall64x (0) - 1Xe-j2016 1- (2²) e-1² + ( ² )e-520¹a <√21e-jnx (~^) -= · *Xejne-jan648√21- ( 1²2 ) e -²; ²² + ( 1² ) e -²2jN-j2Na < 1√21le-inx (~~) -- + (2) ₁-(0²)X64a1- ( 7² ) 0-1² + (-=-) 0-320 ¹ (0 < 1e-ine-

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Answered: Consider the following signals. x[n] =…

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Consider the following signals. x[n] = = πη sin (™) (¹)¹u[n – 2] Identify the DTFT of the signal x[n].

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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Concept explainers

Quantization and Resolution

Quantization is a methodology of carrying out signal modulation by the process of mapping input values from an infinitely long set of continuous values to a smaller set of finite values. Quantization forms the basic algorithm for lossy compression algorithms and represents a given analog signal into digital signals. In other words, these algorithms form the base of an analog-to-digital converter. Devices that process the algorithm of quantization are known as a quantizer. These devices aid in rounding off (approximation) the errors of an input function called the quantized value.

Probability of Error

This topic is widely taught in many undergraduate and postgraduate degree courses of:

Question

Consider the following signals.
x[n] =
=
πη
sin (™) (¹)¹u[n – 2]
Identify the DTFT of the signal x[n].

O
1-(²) e-tall
64
x (0) - 1
X
e-j20
16 1- (2²) e-1² + ( ² )e-520¹
a <
√2
1
e-jn
x (~^) -= · *
Xejn
e-jan
64
8
√2
1
- ( 1²2 ) e -²; ²² + ( 1² ) e -²
2jN
-j2N
a < 1
√2
1
le-in
x (~~) -- + (2) ₁-
(0²)
X
64
a
1- ( 7² ) 0-1² + (-=-) 0-320 ¹ (0 < 1
e-in
e-

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