Question 1:

In a binary transmission system, two pulses shown in the Figure 1 are applied for an orthogonal signalling scheme. Determine and draw the impulse response of their matched filters.

Question 2:

In a digital transmission system, binary data are transmitted by rate 36 Mb/s utilizing M-ary PAM signal. Transmitted signal is a band-limited raised cosine signal, whose specifications are shown in Figure 2.

a) Determine the value of M and roll-off factor.

b) Assume that Signals are transmitted over a band-limited AWGN channel. What is the minimum value of Eb/N0 and SR based on probability of a bit error less than 10-6 and N0=10-17 W/Hz?

Question 3:

Consider a (15,5) cyclic code with generator polynomial g(x)=x10+x8 +x5 +x4 + x2 +x+1.

a) Determine generator matrix of this code.

b) Draw a shift-register based encoder circuit of this code

c) What is the minimum distance of this code?