A periodic signal is expressed asf(t) = 4 + 2 cos (t + 15°)- 0.5 cos (3t + 20°) +0.25 sin (5t + 25°)Sketch the magnitude and phase spectra.Hint: Express each term in standard form as a, cos(o,t + 0n)an sin(ont + O,) = a, cos(o,t+ e, -90°)-a, cos(o,t+ 0,) = a, cos(@,t+ 0,n -180°)%3D

Answered: A periodic signal is expressed as f(t)…

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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Exercise 10: A signal x(t) has the two-sided spectrum representation shown below. (a) write an equation for x(t). (b) is x(t) a periodic signal? If so, what is its period?
In the circuit given above, the frequency a is 1.7 kHz in the amplitude spectrum drawn when Ri=0. The capacitance of the capacitor for the same circuit is 0.5 microF.What should be the value of the resistor R so that the quality factor remains unchanged at 2.0 when the resistor Ri is 1.9 ohms?
Which of the following is incorrect? a)Both the frequency and phase of the FM modulated carrier signal change depending on the information signal. b)The spectrum of the angle modulated signal is similar to the spectrum of the m(t) signal, as is the spectrum of the analog modulated signal. c)The instantaneous frequency of the angle expression q(t)=2000πt+π/2.u(t-3) is fi(t)=1000+π/4.δ(t-3). d)The angle modulated signal is obtained by linearly changing the phase or frequency of the carrier with the information signal.
Suppose that the modulating signal m (t) is sinusoid of the formm (t) = 10 COS ( 2π(10^3)t) and the carrier signal C(t) is sinusoid ofthe form C(t) = 4 COS ( 2π(10^6)t + Ɵ) 7. Draw the magnitude spectrum of the upper side band8. Determine the power spectral density of the modulated wave9. Determine the power spectral density of the upper side band
In the amplitude spectrum drawn when Ri=0 in the circuit given aboveThe frequency a is 2.4 kHz. The capacitance of the capacitor for the same circuit is 0.7 microF.The quality factor remains unchanged at 3.2 when the resistance Ri is 1.9 ohms.What should the value of resistor R be for it to stay put?
The discrete time periodic signal x(n)={2,1,-4,2} has the Fourier coefficients given as ck=(c-8,c-7,c-6,6-j,c-4,c-3,-5,c-1,c0,c1,-5,6-j) .Find the missing coefficients and plot its magnitude spectrum for -8≤k≤3.
In the above circuit, when Ri=0, the frequency a is 1.2 kHz in the amplitude spectrum drawn. The capacitance of the capacitor for the same circuit is 0.6 microF. What should be the value of the R resistor so that the quality factor remains unchanged at 1.5 ohms when the Ri resistor is 1.5 ohms?
a. In an RC circuit supplied with AC power, a 500 ohm resistor is used to create a system with a crossover frequency wc =440 rad/s. What capacitance is the capacitor in this circuit? b. If an inductor is to be added to this circuit to make the resonant frequency equal to the crossover frequency, then what inductance must this inductor have? c. If, near a particular time t1, the instantaneous voltage drop over the resistor is given by v(t1)=0.65V cos(440t), then what is i(t1) (the function of instantaneous current with respect to time) for its capacitor? d. What would the Irms value be based on the sinusoidal function you found in part c? (Pick off Ipeak from the function, then plug in to rms equation) Since this is multi-part, answers to later parts will be graded based on your answers to previous parts when necessary.
a) In an RC circuit supplied with AC power, a 500 ohm resistor is used to create a system with a crossover frequency wc =440 rad/s. What capacitance is the capacitor in this circuit? b. If an inductor is to be added to this circuit to make the resonant frequency equal to the crossover frequency, then what inductance must this inductor have? c. If, near a particular time t1, the instantaneous voltage drop over the resistor is given by v(t1)=0.65V cos(440t), then what is i(t1) (the function of instantaneous current with respect to time) for its capacitor? d. What would the Irms value be based on the sinusoidal function you found in part c? (Pick off Ipeak from the function, then plug in to rms equation)
When Ri=0 in the circuit given above, the frequency a is 1.5 kHz in the amplitude spectrum drawn. The capacitance of the capacitor for the same circuit is 1.8 microF. What should be the value of the resistor R so that the quality factor remains unchanged at 3.3 when the resistor Ri is 1.8 ohms?answer choices are in the picture
An interview is held with a student about the importance of education for thirty minutes at a radio station. It was later amplitude modulated & transmitted to receivers on the school campus.The expression below describes the transmitted signal a(z) a(z)= Acos(16πz) where A=3cos(10πz) a. In an expression form, express a(z) as a sum of sinusoids & determine the frequency components of the signal a(z)b. To adequately & fully recover the signal at the receiver, determine the rate at which the signal should be sampled.c. Determine the discrete signal,a[n] that was transmitted in a reduced form & the angular frequency assuming the signal a(z) is sampled at ten Hertz.
No plagarism please! Correct and detailed answer will be Upvoted else downvoted. Thank you! Q. A fiber optic system for long transmission distances uses an SM fiber optic with αdB quenching = 0.2dB / km and coupling loss α (s) = 0.1dB / km. A laser optical source is used as a source, which works at wavelength λ = 1.55μm, has a spectral width Δλ = 0.1nm and generates optical power P (1) = 10mW. The detector used has a sensitivity of P (0) = - 20dBm and the losses in each connector are α (c) = 2dB. a) Determine the maximum transmission distance for the given system. b) If after 50km an optical amplifier would be used, with amplification G = 10dB, determine how much the maximum transmission distance would increase. c) Discuss how you can improve the transmission distance. What can you say about the impact of dispersion on this system?

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A periodic signal is expressed as f(t) = 4 + 2 cos (t + 15°) - 0.5 cos (3t + 20°) +0.25 sin (5t + 25°) Sketch the magnitude and phase spectra. Hint: Express each term in standard form as a, cos(o,t + 0n) an sin(o,t + 0,) = a, cos(o,t+ e, -90°) -a, cos(o,t+ 0,) = an cos(o,t+ 0,n -180°) %3D