It is easy to demonstrate that amplitude modulation satisfies the superposition princi-ple, whereas angle modulation does not. To be specific, let m1 (t) and m2(t) representtwo message signals and let u1 (t) and uz(t) represent the corresponding modulatedversions.1. Show that when the combined message signal m1(t) +m2(t) DSB modulates acarrier A. cos 2n fet, the result is the sum of the two DSB amplitude-modulatedsignals u, (1) + u2(t).2. Show that if m¡ (t) + m2(t) frequency modulates a carrier, the modulated signalis not equal to u¡ (t) + u2(t).

(1) Given Two message signals - m1(t) and m2(t) Carrier signal is -

Answered: It is easy to demonstrate that…

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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It is easy to demonstrate that amplitude modulation satisfies the superposition principle, whereas angle modulation does not. To be specific, let m1 (t) and m2 (t) represent two message signals and let u1(t) and u2(t) represent the corresponding modulated versions.a) Show that when the combined message signal m1(t) + m2(t) DSB modulates a carrier Ac cos 2πfct, the result is the sum of the two DSB amplitude-modulated signals u1(t) + u2(t). b) Show that if m1(t) + m2(t) frequency modulates a carrier, the modulated signal is not equal to u1(t) + u2(t). A DSB-SC modulated signal is demodulated by applying it to a coherent detector.Evaluate the effect of a frequency error ∆f in the local carrier frequency of the detector, measured with respect to the carrier frequency of the incoming DSB-SC signal.b) For the case of a sinusoidal modulating wave, show that because of this frequency error, the demodulated signal exhibits beats at the error frequency. Illustrate you answer. There…
It is easy to demonstrate that amplitude modulation satisfies the superposition principle, whereas angle modulation does not. To be specific, let m1 (t) and m2 (t) represent two message signals and let u1(t) and u2(t) represent the corresponding modulated versions. a) Show that when the combined message signal m1(t) + m2(t) DSB modulates a carrier Ac cos 2πfct, the result is the sum of the two DSB amplitude-modulated signals u1(t) + u2(t). b) Show that if m1(t) + m2(t) frequency modulates a carrier, the modulated signal is not equal to u1(t) + u2(t). It is easy to demonstrate that amplitude modulation satisfies the superposition principle, whereas angle modulation does not. To be specific, let m1 (t) and m2 (t) represent two message signals and let u1(t) and u2(t) represent the corresponding modulated versions. a) Show that when the combined message signal m1(t) + m2(t) DSB modulates a carrier Ac cos 2πfct, the result is the sum of the two DSB amplitude-modulated signals u1(t) +…
In a single tone SSB modulation, the expression of the message and the carrier signals are given by: m(t)=cos(20t) c(t)=cos(250t) What will be the time domain exprssion of the upper sideband?
Since an amplitude modulation sign is given as "s (t) = [30+ 2 cos (500πt)] cos (10000πt) V", what is the sideband power (PDSB)?
An FM transmitter is determined to have a transmitter sensitivity of 203.314Hz/V. If the modulating signal is designed to be 13.158V, and the modulation index is kept to be at 5, solve for the peak voltage of the 1st sideband. if the carrier signal is determined to be Vc(t)=25sin(2π160000000t) An FM transmitter is determined to have a modulation index of 5. If the carrier voltage is determined to have a peak voltage of 24.800Vp. Solve for the power transmitted in dBrnC of the highest sideband considering a transmitter antenna resistance of 116.204Ohms. An FM transmitter is determined to have a transmitter sensitivity of 728.832Hz/V. Determine the percent modulation of the system if the modulating signal is determined to be Vm(t)=25sin(12566.3706t)Vm(t)=25sin⁡(12566.3706t).
a) The output signal from an AM modulator is u(t) = 5 cos(1800πt) + 20 cos(2000πt) + 5cos(2200πt).(1) Determine the message signal m(t) and the carrier c(t). (Hint: Look at the spectrum of u(t).(2) Determine the modulation index. (3) Determine the ratio of the power in the sidebands to thepower in the carrier.
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
1.An FM transmitter is determined to have a transmitter sensitivity of 203.314Hz/V. If the modulating signal is designed to be 13.158V, and the modulation index is kept to be at 5, solve for the peak voltage of the 1st sideband. if the carrier signal is determined to be Vc(t)=25sin(2π160000000t) 2.An FM transmitter is determined to have a modulation index of 5. If the carrier voltage is determined to have a peak voltage of 24.800Vp. Solve for the power transmitted in dBrnC of the highest sideband considering a transmitter antenna resistance of 116.204Ohms.
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
Please help me with my homework. Thanks! The course subject is Fundamentals of Electronic Communications. 3. Determine the power content of the carrier and each of the sidebands for an AM signal having a percent modulation of 80% and a total power of 2500W.
Suppose the total power of an FM signal is 7 W. What is the power of the second sideband if the modulation index is 3? Show the details of your work. Write your answer on a white typewriting paper, scan it in JPEG format, and paste it into the space provided below.
The conventional amplitude modulated signal is in the time domain; m(t) message sign, Ac carrier the amplitude of the signal and fc the frequency of the carrier signal in the form below. What we did in our laboratory with a sinusoidal message signal with a single tone (that is, a single frequency component) The modulated signal time we obtained as a result of the traditional amplitude modulation experiment in the domain Qm (t)= 0.5cos (1800πt)+ 2cos (2000πt)+ 0.5 cos(2200πt) a) Draw the spectrum of the modulated signal in the frequency domain. In the modulated signal Show the lower sideband and the upper sideband. Sideband frequencies with carrier signal specify. b) Determine the message sign in the time domain m(t) and the carrier sign in the time domain c(t). These signs Write the Fourier transform and plot it in the frequency domain. c) Draw the modulated sign in the time domain. find the Modulation index (μ) . d) Interpret by determining the ratio of the power in the sidebands to…

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