EC 6019

Advanced Digital Signal Processing

1. Review: Discrete-Time Signals and Systems, Sampling, Z-transform, DFT, Filter design techniques- FIR, IIR.
2. Discrete Hilbert transforms: Real and Imaginary Part, sufficiency of the FT for causal Sequences, Sufficiency Theorems for Finite length Sequences, Relationship between Magnitude and Phase, HT Relation for complex sequences.
3. Cepstrum analysis and Homomorphic Deconvolution : Definition of complex cepstrum Homomorphic Deconvolution, Properties of complex Logarithm, Alternative expression for complex cepstrum, The complex cepstrum of exponential sequences, Realization of the Characteristic system, Examples of Homomorphic Filtering, Application to speech processing.
4. Multirate DSP: The basic sample rate Alteration device Filters in sampler rate Alteration System, Multistage Design of Decimator and interpolator. The polyphase Decomposition, Arbitrary rate sampler rate converter, Digital filter banks, Nyquist filters, two channel quadrature mirror filter bank, L channel QMF banks, Cosine modulated L- channel filter banks, Multilevel filter bank, STFT, Wavelet transform, DCT.
5. Adaptive filters: Introduction, Examples of Adaptive filtering, The minimum mean Square Error Criterion, The windrow LMS algorithm, Recursive Least Square Algorithm, Forward and Backward Lattice method, Gradient adaptive Lattice method.
6. Application Oriented introduction to DSP: DTMF Detection, Subband coding , Digital audio sampling rate conversion, Speech and Image Processing

Books:

1. Emmanual C. Ifeachor et. Al., Digital Signal Processing : A Practical approach, Pearson Education, 2nd edition
2. Digital Signal Processing, Algorithms and Applications 3rd edition, Proakis and Manolakis,Prentice Hall of India, New Delhi, 1999.
3. Digital Signal Processing, A Computer based Approach, 2nd edition, S.K.Mitra, Tata McGraw Hill, New Delhi, 2001.
4. L.R. Rabiner and B.Gold, Theory and Application of Digital Signal Processing., PHI
5. Adaptive Filters, Simon Haykin, PHI