Quick Facts

Medium Of Instructions	Mode Of Learning	Mode Of Delivery
English	Self Study	Video and Text Based

Courses and Certificate Fees

Certificate Availability	Certificate Providing Authority
yes	IIT Kanpur

Introduction to Digital Communication Systems
Spectrum of Transmitted Digital Communication Signal and Wide Sense Stationarity
Spectrum of Transmitted Digital Communication Signal, Autocorrelation Function and Power Spectral Density
Spectrum of Transmitted Digital Communication Signal, Relation to Energy Spectral Density and Introduction to AWGN Channel
Additive White Gaussian Noise (AWGN) Properties, Gaussian Noise and White Noise
Structure of Digital Communication Receiver, Receiver Filter and Signal-to-Noise Power Ratio (SNR)
Digital Communication Receiver, Noise Properties and Output Noise Power

Digital Communication Receiver, Optimal SNR and Matched Filter
Probability of Error in Digital Communication and Probability Density Functions of Output
Probability of Error in Digital Communication, Optimal Decison Rule and Gaussian Q function
Introduction to Binary Phase Shift Keying (BPSK) Modulation, Optimal Decision Rule and Probability of Bit-Error or Bit-Error Rate (BER)
Introduction to Amplitude Shift Keying (ASK) Modulation
Optimal Decision Rule for Amplitude Shift Keying (ASK), Bit Error Rate (BER) and Comparison with Binary Phase Shift Keying (BPSK) Modulation
Introduction to Signal Space Concept and Orthonormal Basis Signals

Introduction to Frequency Shift Keying (FSK)
Optimal Decision Rule for FSK, Bit Error Rate (BER) and Comparison with BPSK, ASK
Introduction to Quadrature Phase Shift Keying (QPSK)
Waveforms of Quadrature Phase Shift Keying (QPSK)
Matched Filtering, Bit Error Rate and Symbol Error Rate for Quadrature Phase Shift Keying (QPSK)
Introduction to M-ary PAM (Pulse Amplitude Modulation), Average Symbol Power and Decision rules
M-ary PAM (Pulse Amplitude Modulation) -Part-II, Optimal Decision Rule and Probability of Error

M-ary QAM (Quadrature Amplitude Modulation) Part-I, Introduction, Transmitted Waveform and Average Symbol Energy
M-ary QAM (Quadrature Amplitude Modulation) - Part-II, Optimal Decision Rule, Probability of Error and Contellation Diagram
M-ary PSK (Phase Shift Keying) Part-I, Introduction , Transmitted Waveform and Constellation Diagram
M-ary PSK (Phase Shift Keying) - Part- II, Optimal Decision Rule, Nearest Neighbor Criterion and Approximate Probability of Error
Introduction to Information Theory, Relevance of Information Theory and Characterization of Information
Definition of Entropy, Average of Information / Uncertainity of source and Properties of Entropy
Entropy Example- Binary Source Maximum and Minimum Entropy of Binary Source

Maximum Entropy of Source with M-ary Alphabet, Concave/Convex Functions and Jensens Inequality
Joint Entropy , Definition of Joint Entropy of Two Sources and Simple Examples for Joint Entropy Computation
Properties of Joint Entropy and Relation between Joint Entropy and Marginal Entropies
Conditional Entropy, Example of Conditional Entropy and Properties of Conditional Entropy
Mutual Information, Diagrammatic Representation and Properties of Mutual Information
Simple Example of Mutual Information and Practical Example of Mutual Information-Binary Symmetric Channel
Channel Capacity, Implications of Channel Capacity, Claude E. Shannon- Father of Information Theory and Example of Capacity of Binary Symmetric Channel

Differential Entropy and Example for Uniform Probability Density function
Differential Entropy of Gaussian Source and Insights
Joint Conditional/ Differential Entropies and Mutual Information
Capacity of Gaussian channel- Part I
Capacity of Gaussian Channel Part-II, Practical Implications and Maximum rate in bits\sec
Introduction to Source Coding and Data Compression, Variable Length codes and Unique Decodability
Uniquely Decodable Codes, Prefix-free code, Instantaneous Code and Average Code length

Binary Tree Representation of Code, Example and Kraft Inequality
Lower Bound on Average Code Length and Kullback-Leibler Divergence
Optimal Code length, Constrained Optimization and Morse Code Example
Approaching Lower Bound on Average code length and Block Coding
Huffman Code, Algorithm, Example and Average Code Length
Introduction to channel coding, Rate of Code, Repetition Code and Hamming Distance
Introduction to Convolutional Codes, Binary Field Arithmetic and Linear Codes

Example of Convolutional Code Output and Convolution Operation for Code generation
Matrix Representation of Convolutional Codes, Generator Matrix, Transform Domain Representation and Shift Register Architecture
State Diagram Representation of Convolutional Code, State transitions and Example of Code Generation using State transitions
Trellis Representation of Convolutional Code and Valid Code Words
Decoding of the Convolutional Code, Minimum Hamming distance and Maximum Likelihood Codeword Estimate
Principle of Decoding of Convolutional code
Viterbi Decoder for Maximum Likelihood Decoding of Convolutional Code Using Trellis Representation, Branch Metric Calculation, State Metric Calculation and Example