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

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

Introductory Circuit Analysis (13th Edition)
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)
Transcribed Image Text: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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