ELEC1010 assignment2.pdf

# ELEC1010 assignment2.pdf - Fung Chun Sing 20200230 1 1...

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Fung Chun Sing 20200230 1. 1) A c *cos(2 π f c t)* A m *cos(2 π f m t) = 1 2 *A c * A m * [cos(2 π f c t + 2 π f m t) + cos(2 π f c t - 2 π f m t)] = 1 2 *A c * A m * {cos[2 π( f c + f m )t] + cos[2 π( f c - f m )t]} = 1 2 *A c * A m * {cos[2 π( f c + f m )t] + cos[2 π( f c - f m )t]} = 1 2 *A c * A m *cos[2 π( f c + f m )t] + 1 2 *A c * A m *cos[2 π( f c - f m )t] the sidebands of the modulated signal are: 1 2 *A c * A m *cos[2 π( f c + f m )t] 1 2 *A c * A m *cos[2 π( f c - f m )t] 2) f c + f m = 1020 , f c - f m = 980

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Fung Chun Sing 20200230 3) The required bandwidth to transmit the AM signal = 1020 980 = 40 Hz 4) We can perform demodulation by multiplying the modulated signal by the carrier (1000Hz) again. Then, the high-frequency components of 2f c f m and 2f c + f m can be filtered away using low-pass filtering (20Hz cutoff frequency is used in this case), then what is left is the baseband signal f

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