DIGITAL COMMUNICATION
EE-705C
Credit: 3
Probability Theory and Random Processes:
Conditional probability, communication example, joint probability, statistical independence,
random variable-continuous and discrete, cumulative distribution function, probability
density function – Gaussian, Rayleigh and Rician, mean, variance, random process,
stationary and ergodic processes, correlation coefficient, covariance, auto correlation
function and its properties, random binary wave, power spectral density.
Signal Vector Representation:
Analogy between signal and vector, distinguishibility of signal, orthogonality and
orthonormality, basis function, orthogonal signal space, message point, signal constellation,
geometric interpretation of signals, likelihood functions, Schwartz inequality, Gram-Schmidt
orthogonalization procedure, response of the noisy signal at the receiver, maximum
likelihood decision rule, decision boundary, optimum correlation receiver; probability of
error , error function, complementary error function, Type-I and Type-II errors
Digital Data Transmission:
Concept of sampling, Pulse Amplitude Modulation (PAM), interlacing and multiplexing of
samples, Pulse Code Modulation (PCM), quantization, uniform and non-uniform quantization,
quantization noise, binary encoding, A-Law and b -law companding, differential PCM, delta
modulation and adaptive delta modulation. Digital transmission components, source,
multiplexer, line coder, regenerative repeater, concept of line coding –polar/unipolar/bipolar
NRZ and RZ, Manchester, differential encoding and their PSDs, pulse shaping, Inter Symbol
Interference. (ISI), Eye pattern, Nyquist criterion for zero ISI, equalizer, zero forcing equalizer,
timing extraction.
Digital Modulation Techniques:
Types of Digital Modulation, coherent and non-coherent Binary Modulation Techniques,
basic digital carrier modulation techniques: ASK, FSK and PSK, Coherent Binary Phase
Shift Keying (BPSK), geometrical representation of BPSK signal; error probability of
BPSK, generation and
detection of BPSK Signal, power spectrum of BPSK. Concept of M-ary Communication,
M-ary phase shift keying, the average probability of symbol error for coherent M-ary PSK,
power spectra of MPSK,
Quadrature Phase Shift Keying (QPSK), error probability of QPSK signal, generation and
detection of QPSK signals, power spectra of QPSK signals, Offset Quadrature Phase shift
Queuing (OQPSK), Coherent Frequency Shift Keying (FSK), Binary FSK, error probability
of BFSK signals, generation and detection of Coherent Binary FSK signals, power spectra
of BFSK signal, Minimum Shift Keying (MSK), signal constellation of MSK waveforms,
error probability of MSK signal, Gaussian Minimum Shift Keying: GMSK, basic concept of
OFDM, constellation diagram, Some performance issues for different digital modulation
techniques - Error Vector Magnitude (EVM), Eye Pattern and Relative
Constellation Error (RCE), Conceptual idea for Vector Signal Analyzer (VSA).
Numerical problems to be solved in the class.
Text Books:
1. Digital Communications, S. Haykin, Wiley India.
2. Principles of Communication Systems, H. Taub and D.L.Schilling, TMH Publishing Co.
3. Wireless Communication and Networks: 3G and Beyond, I. Saha Misra, TMH Education.
4. Digital Communications, J.G.Proakis, TMH Publishing Co.
REFERENCE BOOKS:
1. Digital Communications Fundamentals and Applications, B. Sklar and P.K.Ray,
Pearson Education.
2. Modern Digital and Analog Communication Systems, B.P.Lathi and Z.Ding, Oxford
University Press.
3. Digital Communication, A. Bhattacharya, TMH Publishing Co.
