Problem 3: An FM signal pem(t) = 5cos(2n × 10ºt + sin(2n × 10*t)), is input to a square law nonlinear device whose output is related to its input by the relation v.(t) = 2(vin(t))², and filtered by a band pass filter. The center frequency of the BPF is 2 MHz and its bandwidth is 50KHZ. Determine the output z(t) and sketch its magnitude spectrum |Z(@)]. %3D %3D Vin (t) PEM(t). v.(t) 2(.)? BPF z(t)

Problem 3: An FM signal pem(t) = 5cos(2n × 10ºt + sin(2n × 10*t)), is input to a square law nonlinear device whose output is related to its input by the relation v.(t) = 2(vin(t))², and filtered by a band pass filter. The center frequency of the BPF is 2 MHz and its bandwidth is 50KHZ. Determine the output z(t) and sketch its magnitude spectrum |Z(@)]. %3D %3D Vin (t) PEM(t). v.(t) 2(.)? BPF z(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...

See similar textbooks

Similar questions

An FM signal, eFM = 50 sin [2π(800k)t - 4 sin 2π(5k)t] is produced by a frequency modulator with -500Hz/V frequency deviation constant. Determine (a)Determine the equation of the carrier signal (b) What is the equation of the modulating signal (c) Determine the approximate bandwidth of the FM signal (use Carson’s Approximation)
Q.3/ An SSB signal is given as x(1)=cosa, cos(w,t +8)—sinat sin(w,t +6) , where @, >> @, . Determine whether this is the upper or lower sideband?
The carrier c(t) = 100 cos(2πft) is frequency modulated (FM) by the message signal m(t) = 5 cos( 20000πt), where f.= 100MHz. The peak-frequency deviation is 20 kHz. The modulated signal is a wide-band FM.1. Determine the amplitude and frequency of all signal components that have a power level of at least 10% of the power of the unmodulated carrier component.2. From Carson's rule, determine the approximate bandwidth of the FM signal.
In a FM system, a carrier of 100 MHz is modulated by a sinusoidal signal of 5 KHz. The bandwidth by Carson’s approximation is 1MHz. If y(t) = (modulated waveform)3 , then by using Carson’s approximation, what is the bandwidth of y(t) around 300 MHz and the spacing of spectral components ?
A digital radio communication system receives a signal with signal power Sof 3 µW, and noise level of 200 nW, on a radio channel with upper cut-offfrequency of 2.42 GHz, and a lower cut-of frequency of 2.40GHz. . What is the signal Bandwidth in Hertz?
What is the bandwidth of an AM signal whose carrier is 2.1 MHz modulated by a 1.5-kHz square wave with significant harmonics up to the fifth? Calculate all the upper and lower sidebands produced? (Our lesson is AMPLITUDE MODULATION FUNDAMENTALS) (Please box the answer )
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)
-MCQ- When the lower sideband components of the Double Sideband (DSB) signal whose spectrum is given in the figure are suppressed with a filter, when the signal obtained by suppressing it with a filter is multiplied by cos(ωct) in the time domain, which of the following signals is the result? a) 0.5 cos(2ωc + ωm)t + cosωct b) 0.25 cos(2ωc - ωm)t – 0.5 cosωct c) 0.5 cos(2ωc - ωm)t + 0.25 cosωct d) 0.5 cos(2ωc + ωm)t + 0.5 cosωct
Obtaining broadband FM signal from narrowband frequency modulated (FM) signal is shown below. The narrowband FM signal has a maximum frequency deviation of 100 Hz. The frequency of the local oscillator is f0=100 kHz. Since the sign at point A is Ac(cos 2πf0t+θ(t)), express the signs at points B and C. Ac is a constant and θ(t) is a function of m(t).
An FM singla has an intelligence frequency of 5 kHz and a maximum deviation of 20 kHz. How many sidebands are produced with significant amplitudes? Use the Bessel Table.
4. A single sideband signal is derived from a sinusoidal carrier of 100kHz and audiofrequencies between 6kHz and 10kHz. In this situation, the upper sideband wouldextend from:a 106kHz to 110kHzb 210kHz to 216kHzc 90kHz to 94kHzd 6kHz to 10kHz 5. A BFO:a extracts the lower sideband from a DSB transmission.b generates a signal that is exactly twice the frequency of the system carrier wave.c generates a sinewave of constant frequency.d allows FM signals to be demodulated on an AM broadcast receiver