Digital Communication Systems (EE419) Recorded Lectures

Teacher: Dr. Andrew Thangaraj

29/7/2008 | Introduction Class. | Notes |

30/7/2008 | Preliminaries For The Course. | Notes |

31/7/2008 | Review of Fourier Transform properties, Quadrature Amplitude Modulation, Nyquist Sampling Theorem. | Notes |

04/8/2008 | Review of Discrete Sequences, DTFT, ZT, Folded Spectrum, Random Variables and Processes. | Notes |

05/8/2008 | Random Processes, Stationarity (SSS,WSS), Power Spectral Density, Filtering a WSS Random Process, Sampling a CT Random Process, PAM Process. | Notes |

06/8/2008 | Vector Channel, Gram-Schmidt Orthonormalisation, Conversion of waveform channel model to Vector model . | Notes |

07/8/2008 | Vector modelling of modulation schemes-BPSK, FSK . | Notes |

11/8/2008 | Vector modelling of modulation schemes(Contd)-4-PAM, MPAM . | Notes |

12/8/2008 | MPAM, QPSK, M-PSK, M2-QAM, . | Notes |

13/8/2008 | MAP and ML Detection. | Notes |

14/8/2008 | Minimum Distance Detector, Decision Regions, Examples of Decision Regions,Probability of Error. | Notes |

18/8/2008 | Error Probability for Various Modulation Schemes-PAM, QAM. | Notes |

19/8/2008 | M^2-PSK Vs M^2-QAM,Gray Coding,Symbol Errors Vs Bit Errors, Summary of Ideal AWGN Transmission. | Notes |

20/8/2008 | Bandlimited Channel-Transmission at low symbol rates, Nyquist ISI Criteria. | Notes |

21/8/2008 | Transmission when T=1/W using sinc waves, Transmission when 1/T | Notes |

25/8/2008 | Capacity of AWGN channel in terms of SNR and Eb/No. | Notes |

02/09/2008 | Communication over Non-Ideal Channels. | Notes |

03/09/2008 | Heuristic Minimum distance Receiver for Non-ideal channels. | Notes |

04/09/2008 | Spectral factorisation, Orthonormal basis for signals, Decomposition of signal in terms of basis functions. | Notes |

09/09/2008 | Discrete-time ISI AWGN model with an example. | Notes |

10/09/2008 | Maximum-likelihood Sequence Detection-Viterbi algorithm, Trellis description. | Notes |

11/09/2008 | MLSD-continued, Branch metrics, survivor paths,State metric, Summary of the Viterbi algorithm. | Notes |

15/09/2008 | An example of Viterbi algorithm, Implementation issues in Viterbi algorithm. | Notes |

17/09/2008 | Computational complexity and Probability of sequence error for MLSD, Error events, Soft detector for ISI-BCJR algorithm. | Notes |

18/09/2008 | Equalisation, Figure of Merit, Bounds on Figure of Merit-Matched Filter bound,MLSD bound, Zero Forcing Linear equaliser, Zero forcing-Decision Feedback equaliser. | Notes |

20/09/2008 | Zero-forcing equalisers- contd.,An example for ZFE. | Notes |

22/09/2008 | Figure of Merit comparison between MLSD and ZFE and why ZFE may not be the best solution, Mean-Squared Error. | Notes |

23/09/2008 | MMSE-Linear equaliser, MMSE-DFE, Precursor and postcursor filters. | Notes |

24/09/2008 | Decision-Feedback filters-contd. | Notes |

25/09/2008 | Equalisers-Summary. | Notes |

29/09/2008 | Unbiased MMSE DFE, Constrained Complexity Equalisers. | Notes |

30/09/2008 | Constrained Complexity Equalisers Contd, MSE Gradient Algorithm. | Notes |

06/10/2008 | Stochastic Gradient or LMS algorithm, Adaptive DFEs. | Notes |

14/10/2008 | Quiz discussion and review. | Notes |

15/10/2008 | Fractionally spaced equalisers, Passband equalisers. | Notes |

16/10/2008 | Complete review of PAM recievers. | Notes |

20/10/2008 | BPSK with Root-Raised cosine using band-pass filters. | Notes |

23/10/2008 | Carrier and Timing Synchronisation.PLL, Timing recovery by spectral-line methods,Early-late gate timing recovery,differential encoding. | Notes |

28/10/2008 | OFDM- Multiple-carrier modulation,FDM. | Notes |

29/10/2008 | OFDM-contd:analysis, Receiver description,Using Cyclic prefix to handle ISI. | Notes |

30/10/2008 | OFDM in ISI-contd, Error Control Coding:Introduction. | Notes |

03/11/2008 | Coding gain,Repetition Codes, Soft decoder. | Notes |

04/11/2008 | Linear block codes and examples, Parity-check matrix,Codeword Weight, Minimum Distance. | Notes |

05/11/2008 | Introduction to hard and soft ML decoding. | Notes |

06/11/2008 | Hard ML decoding for BSC-Syndrome Decoding for Linear codes, Error-correcting capability, Convolutional codes, State diagram for trellis. | Notes |