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"I need an expert solution because the previous solution is incomplete and contains errors. I require a mathematical solution with clarification, not just an explanation." Plot the amplitude and phase spectrum (single and double sided) for the following signal: 1. f(t)=5+3sin(2π 10³t +30°) - 4 cos(4π 10³t -20º) 2. f(t)=-2+10 sin(2π 105 -20°) - 14 cos(6π 105t + 30°) + 7 sin(4π 105t-50º) 3. f(t)=1+4 cos(10000t + 30º) Signal spectrum: The spectrum is the frequency representation of a signal: 1- Spectrum of the sinusoidal signals: f(t) = A cos(2nfot + 0) a) Single sideband spectrum: of fo b) Double sideband spectrum: Amplitude TA/2 Phase fo Phase 0 f f -fo fo -fo fo -0 Rules: 1. The amplitude is always positive. -A cos 2π fot⇒ A cos(2πfot - 180°) 2. The phase ids always measured from the real axis. A sin 2πfot A cos(2лfot - 90°) 3. If the angular frequency is used (), the amplitude is multiplied by 2л.

"I need an expert solution because the previous solution is incomplete and contains errors. I require a mathematical solution with clarification, not just an explanation." Plot the amplitude and phase spectrum (single and double sided) for the following signal: 1. f(t)=5+3sin(2π 10³t +30°) - 4 cos(4π 10³t -20º) 2. f(t)=-2+10 sin(2π 105 -20°) - 14 cos(6π 105t + 30°) + 7 sin(4π 105t-50º) 3. f(t)=1+4 cos(10000t + 30º) Signal spectrum: The spectrum is the frequency representation of a signal: 1- Spectrum of the sinusoidal signals: f(t) = A cos(2nfot + 0) a) Single sideband spectrum: of fo b) Double sideband spectrum: Amplitude TA/2 Phase fo Phase 0 f f -fo fo -fo fo -0 Rules: 1. The amplitude is always positive. -A cos 2π fot⇒ A cos(2πfot - 180°) 2. The phase ids always measured from the real axis. A sin 2πfot A cos(2лfot - 90°) 3. If the angular frequency is used (), the amplitude is multiplied by 2л.

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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"I need an expert solution because the previous solution is incomplete and contains errors. I require a mathematical solution with clarification, not just an explanation." Plot the amplitude and phase spectrum (single and double sided) for the following signal: 1. f(t)=5+3sin(2π 10³t +30°) - 4 cos(4π 10³t -20º) 2. f(t)=-2+10 sin(2π 105 -20°) - 14 cos(6π 105t + 30°) + 7 sin(4π 105t-50º) 3. f(t)=1+4 cos(10000t + 30º) Signal spectrum: The spectrum is the frequency representation of a signal: 1- Spectrum of the sinusoidal signals: f(t) = A cos(2nfot + 0) a) Single sideband spectrum: of fo b) Double sideband spectrum: Amplitude TA/2 Phase fo Phase 0 f f -fo fo -fo fo -0 Rules: 1. The amplitude is always positive. -A cos 2π fot⇒ A cos(2πfot - 180°) 2. The phase ids always measured from the real axis. A sin 2πfot A cos(2лfot - 90°) 3. If the angular frequency is used (), the amplitude is multiplied by 2л.
Transcribed Image Text:"I need an expert solution because the previous solution is incomplete and contains errors. I require a mathematical solution with clarification, not just an explanation." Plot the amplitude and phase spectrum (single and double sided) for the following signal: 1. f(t)=5+3sin(2π 10³t +30°) - 4 cos(4π 10³t -20º) 2. f(t)=-2+10 sin(2π 105 -20°) - 14 cos(6π 105t + 30°) + 7 sin(4π 105t-50º) 3. f(t)=1+4 cos(10000t + 30º) Signal spectrum: The spectrum is the frequency representation of a signal: 1- Spectrum of the sinusoidal signals: f(t) = A cos(2nfot + 0) a) Single sideband spectrum: of fo b) Double sideband spectrum: Amplitude TA/2 Phase fo Phase 0 f f -fo fo -fo fo -0 Rules: 1. The amplitude is always positive. -A cos 2π fot⇒ A cos(2πfot - 180°) 2. The phase ids always measured from the real axis. A sin 2πfot A cos(2лfot - 90°) 3. If the angular frequency is used (), the amplitude is multiplied by 2л.
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