5507 ELEC Error Control Coding Tutorial 1 1. Find the bit error probability for a BPSK system with a bit rate of 1 Mbits/s. The received waveforms, v1 (t ) = A cos 2f c t and v 2 (t ) = A cos 2f c t where A is the signal amplitude and f c is the carrier frequency, are coherently detected with a matched filter. The value of A is 10mV. Assume that the single sided noise power spectral density is N 0 = 10 11 W/Hz. Assume that the function Q (z ) can be approximated by 2 1 Q( z) = e z / 2 z 2 for z > 3 .
2. Consider the binary code C = {(0000101), (0011101), (1111100), (1111111), Suppose (0101011)} that the symbol error probability for the channel is p = 0.25 . If r1 = (1101001) and r2 = (0110101) are received, decode r1 and r2 by maximum likelihood decoding.
3. Assume that a data stream with data rate R=144 Mbits/s is to be transmitted on an RF channel using a DSB modulation scheme. Assume Nyquist filtering and a...