A modulating signal m(t) is given by: (b) m(t) = sin (100xt) sin (500л) (i) Sketch the spectrum of m(t). (Hint: use the trig identity for the product of sines.) (ii) Sketch the spectrum of the DSB SC signal 2m(t)cos(1000) and find the algebraic expression of the spectrum. iii) From the spectrum sketch in part (ii), suppress the LSB part to sketch the USB spectrum. (iv) Knowing the USB spectrum in part (iii), write the expression USB (t) for the USB signal. (v) Repeat parts (iii) and (iv) to obtain the LSB signal LSB (t).

A modulating signal m(t) is given by: (b) m(t) = sin (100xt) sin (500л) (i) Sketch the spectrum of m(t). (Hint: use the trig identity for the product of sines.) (ii) Sketch the spectrum of the DSB SC signal 2m(t)cos(1000) and find the algebraic expression of the spectrum. iii) From the spectrum sketch in part (ii), suppress the LSB part to sketch the USB spectrum. (iv) Knowing the USB spectrum in part (iii), write the expression USB (t) for the USB signal. (v) Repeat parts (iii) and (iv) to obtain the LSB signal LSB (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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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

A modulating signal m(t) is given by:
(b) m(t) = sin (100xt) sin (500л)
(i) Sketch the spectrum of m(t). (Hint: use the trig identity for the product of sines.)
(ii) Sketch the spectrum of the DSB SC signal 2m(t)cos(1000) and find the algebraic
expression of the spectrum.
iii) From the spectrum sketch in part (ii), suppress the LSB part to sketch the USB spectrum.
(iv) Knowing the USB spectrum in part (iii), write the expression USB (t) for the USB signal.
(v) Repeat parts (iii) and (iv) to obtain the LSB signal LSB (t).

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Step 1: Stating the given data,

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Step 2: (a) Plotting spectrum of m(t),

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Step 3: (ii) Plotting the DSb SC spectrum,

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Step 4: (ii) Plotting the DSb SC spectrum continue,

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Step 5: (iii) Plotting the USB spectrum,

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Step 6: (iv) Finding the expression for USB signal,

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Step 7: (v) Finding the φ LSB,

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