Digital Communication — Winter 2018

State and prove the Sampling theorem with necessary equation & waveforms.

In a random experiment, a trial consists of four successive tosses of a coin. If we define an RV x as the number of heads appearing in a trial, determine probabilities P (x) and CDF F (x). X X

Define Delta modulation? Draw the neat diagram of Delta modulator & explain the operation with waveforms.

What is Cumulative Distribution Function (CDF)? Enlist the important properties of CDF ? Prove any two of them.

Define : Code efficiency, Entropy, Redundancy, Binary Symmetric Channel. Mean, Standard Deviation & Moments of random variable.

Amemory-less source emits messages m to m with probabilities 0.3, 0.25, 0.15, 0.12, 0.10, 0.08 respectively. Find the length of this code (L), entropy of source (H), code efficiency & redundancy for binary Huffman code.

What is line coding? Explain the desirable properties of line codes.

Find the channel capacity of Binary Symmetrical Channel.

What is the need for pulse shaping? Explain Nyquist’s Criterion for zero ISI.

Explain in details the Amplitude Shift Keying (ASK).

For a (6, 3) systematic linear block code, the three parity check digits c , c , c456 are c = d + d + d c = d + d512 c = d + d613

Construct the appropriate generator matrix for this code. (ii) Construct the code generated by this matrix. (iii) Determine the error correcting capabilities of this code. (iv) Prepare a suitable decoding table.

Describe coherent & non-coherent detection of FSK signal.

State & Prove Central Limit Theorem.

What is Spread Spectrum system? Describe Direct Sequence Spread Spectrum System in detail.

Explain briefly BPSK modulation with neat sketch.

Explain QPSK technique including QPSK transmitter & receiver.

Difference between Analog & Digital Communication System. Also explain block diagram of Digital Communication.