i need the answer quickly Phasor Signals and SpectraA useful periodic signal in system analysis is the signalx(t) = Aej(@ot+0), -∞< 1<∞Imwol+0A cos (@of +9)ReImAmplitude@+0+8foThe rotating phasor Ael(+) can be related to a real, sinusoidal signal A cos(@ot+0)in two ways. The first is by taking its real part,=x(t) = A cos(@ot + 0) = Rex(1)= Re Ae(+0)A cos (+0)and the second is by taking one-half of the sum of (t) and its complex conjugate,A cos(@ot + 0) = x(1) +x* (1)j(²+0)Ae-Re+ Ae Hap+8)PhasePhaseand t-fofolfofo0foAmplitude011+jExample:Sketch the single-sided and double-sided spectra offocosx(t) = 2 sinA Acose+jAsing(10nt-²/n)

Given: xt=2sin10πt-π6 Required: Single-sided and double-sided spectra.

Answered: Sketch the single-sided and…

Engineering

Electrical Engineering

Sketch the single-sided and double-sided spectra of x(t) = 2 sin (10nt - 1)

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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Phasor Signals and Spectra
A useful periodic signal in system analysis is the signal
x(t) = Aej(@ot+0), -∞< 1<∞
Im
wol+0
A cos (@of +9)
Re
Im
Amplitude
@+0
+8
fo
The rotating phasor Ael(+) can be related to a real, sinusoidal signal A cos(@ot+0)
in two ways. The first is by taking its real part,
=
x(t) = A cos(@ot + 0) = Rex(1)
= Re Ae(+0)
A cos (+0)
and the second is by taking one-half of the sum of (t) and its complex conjugate,
A cos(@ot + 0) = x(1) +
x* (1)
j(²+0)
Ae
-Re
+ Ae Hap+8)
Phase
Phase
and t
-fo
f
ol
fo
fo
0
fo
Amplitude
01
1+j
Example:
Sketch the single-sided and double-sided spectra of
fo
cos
x(t) = 2 sin
A Acose+jAsing
(10nt-²/n)

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