## Digital CommunicationsPulse Digital ModulationElements of digital communication systems, Advantages of digital communication systems, Elements of PCM : Sampling, Quantization & Coding, Quantization error, Compading in PCM systems. Differential PCM systems (DPCM).Delta ModulationDelta modulation, its drawbacks, Adaptive delta modulation, Comparison of PCM and DM systems, Noise in PCM and DM systems.Digital Modulation TechniquesIntroduction ASK, FSK, PSK, DPSK, DEPSK, QPSK, M-ary, PSK, ASK, FSK, similarity of BFSK and BPSK.Data TransmissionBase band signal receiver, Probability of error, the optimum filter, Matched filter, Probability of error using matched filter, Coherent reception, Non-coherent detection of FSK, Calculation of error probability of ASK, BPSK, BFSK, QPSK.Information TheoryDiscrete messages, Concept of amount of information and its properties, Average information, Entropy and its properties, Information rate, Mutual information and its properties.Source CodingIntroduction, Advantages, Shannon's theorem, Shannon-Fano coding, Huffman coding, Efficiency calculations, Channel capacity of discrete and analog channels, Capacity of a Gaussian channel, Bandwidth-S/N trade off.Linear Block CodesIntroduction, Matrix description of Linear Block codes, Error detection and error correction capabilities of Linear block codes, Hamming codes, Binary cyclic codes, Algebraic structure, Encoding, Syndrome calculation, BCH Codes.Convolution CodesIntroduction, Encoding of convolution codes, Time domain approach, Transform domain approach, Graphical approach : state, Tree and trellis diagram decoding using Viterbi algorithm. |

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### Contents

Chapter1 Pulse Digital Modulation | 1-1 |

ipter 3 Digital Modulation Techniques 31 to 386 | 3-1 |

AppendixC integration C1toC4 | 5-2 |

Appendix H functions H1 | 6-1 |

ipter7 Linear Block Codes 71 to 7120 | 7-1 |

Chapter8 Convolution Codes 81to858 | 8-1 |

### Common terms and phrases

amplitude bandwidth baseband BFSK binary digits binits bits/sec block diagram BPSK BPSK signal burst error carrier channel capacity check bits code efficiency code tree code vector convolutional codes cyclic code delta modulation determine DPSK entropy equation becomes error correcting error pattern error probability error vector Example frequency gaussian given by equation hadamard matrix Hamming code Hence above equation Huffman coding information rate integrator linear block code log2 matched filter maximum message bits message vector multiplexed mutual information node noise power noise ratio number of bits Nyquist rate obtain output parity check matrix polynomial power spectral density probability of error pulse Putting values QPSK quantization error received vector represents row of HT sampled signal sampling sequence shift register shown in Fig shows signal to noise Solution symbol syndrome vector theorem transmission transmitted waveform x(nTs zero