An angle modulated signal is given by2U (t) = 10 cos ( 21 10°+ + 3 sin (at 10" t))if the message signal has a unit amplitudea. Find the message signal for both when the signal is FM and PM modulated.b. Assumming that FM modulation was used, find the maximum frequencydeviation (Afmax) and the frequency deviation constant (Kf)C. Find the modulation indexßand the Bandwidth.d. Assumming that FM modulation was used, calculate and plot the frequencySpectrum.thee. Assumming that FM modulation was used, calculate and plot the frequencyif the frequency message signal is doubled whileTemoinsdeviation constant you found in (b)Spectrumfrequencythe same.

An angle modulated signal is given by u(t) = 10 cos (21 106 + + 3/2/2 Sin message signal has a unit amplitude If the a. Find the message signal for both when the signal is FM and PM modulated. b. Assumming that FM modulation was used, find the maximum frequency deviation (afmax) and the frequency deviation constant (Kf) c. Find the modulation index ß (ax 104 t)) Theod SM nendeksali.. and the Bandwidth. wed, calculate and plot the frequency

An angle modulated signal is given by u(t) = 10 cos (21 106 + + 3/2/2 Sin message signal has a unit amplitude If the a. Find the message signal for both when the signal is FM and PM modulated. b. Assumming that FM modulation was used, find the maximum frequency deviation (afmax) and the frequency deviation constant (Kf) c. Find the modulation index ß (ax 104 t)) Theod SM nendeksali.. and the Bandwidth. wed, calculate and plot the frequency

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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A given FM transmitter is modulated with a single sinusoid, the output for no load power is 100W into 50Ω resistive load. Then, the frequency of the modulating signal is carefully adjusted from zero until the modulated carrier encountered its zero amplitude as observed in spectrum analyzer. Under these conditions, determine the: (Use the provided Bessel table) a. the modulation index and the number of significant sideband b. total power on its significant sidebands. c. relative total power of the carrier and each of sideband. Ans. (a) Mf =2.4, N=5; (b) 99.86 W; b Pc=0W, P1=27.04W, P2=18.49W, P3=4W, P4=0.36W, P5=0.04W
A 1500 KHz carrier with amplitude of 50 V is amplitude modulated by 2 –KHz sine wave tone with a peak voltage of 15 V. Determine the modulation index, percent modulation, the upper and lower sideband frequencies, bandwidth of the wave, and write the AM equation.
An Amplitude Modulation (AM DSBFC) radio broadcasting station with its carrier frequency of 750 kHz is amplitude-modulated by a 4 kHz audio signal to produce an AM envelope. The maximum and minimum peaks voltages of the envelope are 180Vp and 70Vp respectively. The equivalent resistance of the transmitting antenna is 60 Ω. Determine: (i) The peak amplitudes of the audio, carrier sideband voltages and modulation index. (ii) Using the above results, write the complete AM mathematical representation to express the waveform, showing its carrier, lower sideband and upper sideband parameters. (iii) The power of the carrier signal, total sidebands power and the bandwidth of the modulated signal. Then sketch and label the power spectrum of the modulated ( i v ) If the transmission is changed to Single-Side Band Suppressed Carrier (SSBSC), calculate the percentage power saving in comparison to the original AM DSBFC
The SNRi of an FM transmitter is determined to be 24.093dBV. Solve for the peak frequency deviation caused by the noise if the transmitter sensitivity is determined to be 368.903Hz/V, and a modulating signal of 13.926V and the modulating index is kept at 4
A given FM transmitter is modulated with a single sinusoid, the output for no load power is 100W into50Ω resistive load. Then, the frequency of the modulating signal is carefully adjusted from zero untilthe modulated carrier encountered its zero amplitude as observed in spectrum analyzer. Under theseconditions, determine the: (Use the provided Bessel table)a. the modulation index and the number of significant sideband. b. total power on its significant sidebands. c. relative total power of the carrier and each of sideband. Ans. (a) Mf =2.4, N=5; (b) 99.86 W; b Pc=0W, P1=27.04W, P2=18.49W, P3=4W,
For double sideband (DSB) signala) Write the time domain equation XDSB(t).b) Write the frequency domain equation XDSB(ω).c) Draw the block diagram for DSB signal Generation.d) Draw the receiver block diagram. e) Explain with drawing the demodulation process of double sideband (DSB) signal using coherent detector.f) What is the difficulty of synchronous demodulation (coherent detection)? g) Compare between the ordinary amplitude modulation (AM), and double sideband (DSB) modulation in terms of transmitted power, complexity of demodulation, receiver cost, and bandwidth
a. AM modulation is inefficient. With reference to the frequency domain, explain why. How does double sideband and single sideband suppressed carrier modulation improve the efficiency of AM modulation? Despite its increased efficiency, what is a disadvantage of SSB-SC when compared with AM modulation.b. An antenna has an impedance of 75 Ω. An unmodulated AM signal produces a current of 3.4A. The modulation is 90 percent. Calculate (a) the carrier power, (b) the total power, and (c) the sideband power.c. With aid of diagrams, explain how frequency modulation works. d. A 450-MHz radio transmitter uses FM with a maximum allowed deviation of 6 kHz and a maximum modulating frequency of 3.5 kHz. What is the minimum bandwidth required? Use Figure. 5.1 to determine the approximate amplitudes of the carrier and the first three significant sidebands
An FM modulator has kf=30kHz/V and operates at a carrier frequency of 180 MHza. Find the output frequency for an instantaneous value of the modulating signal equal to150mV. b. If the carrier signal is modulated by a 2Vrms sine wave. Calculate the peak frequencydeviation. c. Using the given in the previous number, also find the bandwidth using the Bessel table below for thePM signal when the message frequency is (a) doubled, (b) halved, but all else remains constant.
Question 1. Select the correct statement(s) regarding amplitude modulation (AM). a. If the AM Index is greater than 1 (i.e., µAM>1), then over modulation occurs leading to signal distortion b. With AM, the message is captured as amplitude changes to the carrier’s amplitude. c. The AM modulated carrier bandwidth is dependent upon the baseband signal’s frequency bandwidth d. All of the above are correc
Plot an AM modulated signal , that has an information signal m ( t ) = 10 sin ( 10nt ) and a carrier signal c ( t ) = 15 cos ( 1000nt ) . Calculate the modulation index ( u ) . Is it a good modulation ? If no , suggest a change in one of the signals above and calculate u again , so that it approaches ideal case
A signal given by m(t) = 3cos(20πx103t) frequencymodulates a 1MHz carrier signal to produce a frequency deviation of 40KHz. Assume the carrier amplitude is 5V. a) Determine the modulation index. b) Write the time domain expression for the resulting FM signal ΦFM(t). c) What is the bandwidth of the signal.
For an Armstrong indirect FM transmitter with the crystal carrier oscillating at 210 kHz, the crystal reference oscillating at 10.2 MHz, the sideband voltage is 0.018 V, the carrier input voltage to the combiner is 5V, the first and second multipliers are both 40, and the modulating signal frequency is 2 kHz, determine: a.) modulation index at the output of the combining network and the power amplifier; b.) frequency deviation at the same two points; and c.) the transmit carrier frequency.