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A transmitter transmits an AM/DSB single tone-modulating signal given by 3 cos(2n103t)volt with a carrier signal given by 10 cos(2n106t)volt ,Find: 1- Modulation depth. 2- USB & LSB frequencies. 3- Amplitude of sideband frequencies. 4- Efficiency of Transmission.

A transmitter transmits an AM/DSB single tone-modulating signal given by 3 cos(2n103t)volt with a carrier signal given by 10 cos(2n106t)volt ,Find: 1- Modulation depth. 2- USB & LSB frequencies. 3- Amplitude of sideband frequencies. 4- Efficiency of Transmission.

Introductory Circuit Analysis (13th Edition)
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
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Ex 4-3: A transmitter transmits an AM/DSB single tone-modulating signal given by 3 cos(2n103t)volt with a carrier signal given by 10 cos(2n10°t)volt ,Find: 1- Modulation depth. 2- USB & LSB frequencies. 3- Amplitude of sideband frequencies. 4- Efficiency of Transmission. 83 Solution: Am=3 v, A=10 v fm=10° Hz, f.=10°HZ 1- D = Am x 100% = x 100% = 30% Ac 10 2- USB frequency is fc+ fm 106 + 103 = 1.001 MHz , LSB frequency is fe- fm = 106 – 103 = 0.999 MHz mAc 0.3x10 3- Amp. of USB & LSB is = 0.75 volt m2 0.32 Ps 4- η- Pt = 4.3 % m2+2 0.32+2 H.W: Repeat the previous example assuming that the modulating signal is given by: f(t) ={ 0, 0 <t <2 * 10-3 2 * 10-3 <t < 4 *10-3 repeats periodically Assume that the signal is band-limited to 1 kHz.
Transcribed Image Text:Ex 4-3: A transmitter transmits an AM/DSB single tone-modulating signal given by 3 cos(2n103t)volt with a carrier signal given by 10 cos(2n10°t)volt ,Find: 1- Modulation depth. 2- USB & LSB frequencies. 3- Amplitude of sideband frequencies. 4- Efficiency of Transmission. 83 Solution: Am=3 v, A=10 v fm=10° Hz, f.=10°HZ 1- D = Am x 100% = x 100% = 30% Ac 10 2- USB frequency is fc+ fm 106 + 103 = 1.001 MHz , LSB frequency is fe- fm = 106 – 103 = 0.999 MHz mAc 0.3x10 3- Amp. of USB & LSB is = 0.75 volt m2 0.32 Ps 4- η- Pt = 4.3 % m2+2 0.32+2 H.W: Repeat the previous example assuming that the modulating signal is given by: f(t) ={ 0, 0 <t <2 * 10-3 2 * 10-3 <t < 4 *10-3 repeats periodically Assume that the signal is band-limited to 1 kHz.
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