1. A square-law modulator for generating an AM wave relies on the use of anonlinear device (e.g., diode); Figure depicts the simplest form of such amodulator.Diode(Nonlinear device)Message signalm(t)v1(t)Loadv½(t)Carrier waveA, cos(2mf.t)Figure : Non linear circuit using a diodeIgnoring higher order terms, the input-output characteristic of the diode-loadresistor combination in the above figure is represented by the square law :v2(t) = a¡v1(t) + azvi(t)Wherevi(t) = Ac cos(2nft) + m(t)is the input signal, v2(t) is the output signal developed across the loadresistor, and ai and a2 are constants.(a) Determine the spectral content of the output signal V2(t) . (Or) Find theFourier Transform of V2(t) .(b) To extract the desired AM wave from V2(t) , we need a band-pass filter inthe Output of v2(t) ( which is not shown in Figure ). Determine the cutofffrequencies of the required filter, assuming that the message signal is limitedto the band -W

1. The adjusting signal and carrier are associated in series with one another and their total V1(t)…

1. A square-law modulator for generating an AM wave relies on the use of a nonlinear device (e.g., diode); Figure depicts the simplest form of such a modulator. Diode (Nonlinear device) Message signal m(t) v(t) Load V½(t) Carrier wave A cos(2#f.t) Figure : Non linear circuit using a diode Ignoring higher order terms, the input-output characteristic of the diode-load resistor combination in the above figure is represented by the square law : v2(t) - ajvi(t) + azvi(t) Where vi(t) Ac cos(27ft) + m(t) is the input signal, v2(t) is the output signal developed across the load resistor, and ai and a2 are constants. (a) Determine the spectral content of the output signal v2(t). (Or) Find the Fourier Transform of V2(t). (b) To extract the desired AM wave from V2(t) , we need a band-pass filter in the Output of v2(t) ( which is not shown in Figure ). Determine the cutoff frequencies of the required filter, assuming that the message signal is limited to the band -W

1. A square-law modulator for generating an AM wave relies on the use of a nonlinear device (e.g., diode); Figure depicts the simplest form of such a modulator. Diode (Nonlinear device) Message signal m(t) v(t) Load V½(t) Carrier wave A cos(2#f.t) Figure : Non linear circuit using a diode Ignoring higher order terms, the input-output characteristic of the diode-load resistor combination in the above figure is represented by the square law : v2(t) - ajvi(t) + azvi(t) Where vi(t) Ac cos(27ft) + m(t) is the input signal, v2(t) is the output signal developed across the load resistor, and ai and a2 are constants. (a) Determine the spectral content of the output signal v2(t). (Or) Find the Fourier Transform of V2(t). (b) To extract the desired AM wave from V2(t) , we need a band-pass filter in the Output of v2(t) ( which is not shown in Figure ). Determine the cutoff frequencies of the required filter, assuming that the message signal is limited to the band -W

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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Concept explainers

Frequency Modulation

Frequency modulation is a method or process of encoding the data of a specific signal (analog or digital) by modulating the carrier wave frequency according to the frequency of the modulated signal. Modulated signals are nothing more than information or data that should be conveyed after being converted into electronic signals.

Question

1. A square-law modulator for generating an AM wave relies on the use of a
nonlinear device (e.g., diode); Figure depicts the simplest form of such a
modulator.
Diode
(Nonlinear device)
Message signal
m(t)
v1(t)
Load
v½(t)
Carrier wave
A, cos(2mf.t)
Figure : Non linear circuit using a diode
Ignoring higher order terms, the input-output characteristic of the diode-load
resistor combination in the above figure is represented by the square law :
v2(t) = a¡v1(t) + azvi(t)
Where
vi(t) = Ac cos(2nft) + m(t)
is the input signal, v2(t) is the output signal developed across the load
resistor, and ai and a2 are constants.
(a) Determine the spectral content of the output signal V2(t) . (Or) Find the
Fourier Transform of V2(t) .
(b) To extract the desired AM wave from V2(t) , we need a band-pass filter in
the Output of v2(t) ( which is not shown in Figure ). Determine the cutoff
frequencies of the required filter, assuming that the message signal is limited
to the band -W<f<W.

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