Receivers

Digital Communication

digital communication, digital communication assignment,  digital communication assignment no 3,  digital communication assignments,  digital communication all assignments

Q.1 ) A baseband receiver has received signal amplitude ± 2V held for a time T. The signal is corrupted by white Gaussian noise having Power Spectral density 10^–4 volt²/Hz. If the signal is processed by integrate and dump filter, what should be minimum Time T of the signal so that the error probability is not above 10^–4.

Q.2) Binary data is transmitted using PSK at a rate 2 Mbps over RF link having bandwidth 2 MHz. Find signal power required at receiver input so that error probability is less than or equal to 10^–4. Assume noise PSD to be 10^–10 watt/Hz. 

Q.3) Prove that “The performance of integrator and dump filter is identical to that of the matched filter on the background of AWGN”. Calculate the probability of error Pe.

Q.4) A bipolar binary signal is applied as an input to an integrator and dump receiver such that S1(t) = +A and S2(t) = – A volts for the duration of 0 to T seconds. If P(S1) =P(S2) = 0.5, η/2 = 10^–9 W/Hz, A = 10 mV and transmission data rate is 10 kbps, then find out the probability of error ‘Pe’.

Q.5) Binary data is transmitted over a microwave link at a rate of 10⁶ bps and the PSD of noise at the receiver input is 10^–10 W/Hz. Find out an average carrier power required to maintain an average probability of error Pe < 10^–4 for coherent binary FSK. What is the required channel band width ?

Q.6) Show that performance of correlator & Matched filter is same.

Note: Submission of Assignment during Tutorial sessions next week.