a. Determine the impulse response of the matched filter for the
signal. 3

b. Find the output of the matched filter att=T6

PART B
a. Prove the Nyquist theorem for zero ISI. 4

b. The binary sequence 10010110010 is the input to a precoder
whose output is 5 used to modulate a duobinary transmitting
filter. Find the precoded sequence, the transmitted
amplitude levels, the received signal levels and the
decoded sequence.

Obtain an optimu_m ML receiver for channels with ISI and
AWGN. 9
Derive the expression for the capacity of a nonideal linear

filter channel and 9 explain water filling method for power
distribuaon.

PART C

a. Derive the equaaons for processing gain and jamming
margin for DS spread 6
spectrum.

b. A DS binary PSK spread spectrum signal has a processing gain
of 500. VVhat is 6 the jamming margin against a continuous
tone jammer if the desired error probability' is 10-5.

a. Expla.in how a PN sequence is generated for spread
spectrum applications. 6
b. Describe the performance of a RAKE demodulator 6

Derive the probability of error for a binary digital
communication system with 12 diversity.