Tutorial4 - with amplitudes ± 10-2 V at the receiver and...

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EE 3008. Receiver Design Tutorial Questions Q1) Suppose we are transmitting a variable v, which can be either 1 or 0. Suppose during the transmission v is distorted by a Gaussian random variable n with zero mean and variance σ 2 , so the receiver actually receives x=v+n. What is the probability of error at the receiver. (Hint: The receiver can use the rule that v’=1, if x>0.5 and v’=0, if x<0.5). Q2) Suppose we are transmitting a variable v, which can be either 1 or -1. Suppose during the transmission v is distorted by a Gaussian random variable n with zero mean and variance σ 2 , so the receiver actually receives x=v+n. What is the probability of error at the receiver. Q3) Find the BER for a binary PAM signal using rectangular pulses
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Unformatted text preview: with amplitudes ± 10-2 V at the receiver and the data rate is 10 kbps. The channel is AWGN with N =4 × 10-9 V 2 /Hz. What is the BER if the transmission power is reduced by half? Q4) A 4-ary PAM signal using rectangular pulses with amplitudes –3V, –1V, 1V and 3V. Data rate is 40 kbps. The channel is AWGN with N =2 × 10-5 V 2 /Hz. An integration receiver is used. (a) What are the output levels for the 4 symbols if the reference signal is a rectangular pulse with amplitude 1V? (b) What is the average energy per symbol and per bit? (c) What is the symbol error rate? (d) Express the symbol error in terms of average bit energy and noise spectral density N ....
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