EC 409 ADVANCED DIGITAL SIGNAL PROCESSING L T P C 3 1 0 4

PRE REQUISITE: Signals & systems, Digital Signal processing

UNIT I DISCRETE RANDOM SIGNAL PROCESSING 9

Discrete Random Processes- Ensemble Averages, Stationary processes, Bias andEstimation, Auto covariance, Autocorrelation, Parseval’s theorem, Wiener-Khintchinerelation, White noise, Power Spectral Density, Spectral factorization, Filtering RandomProcesses, Special types of Random Processes – ARMA, AR, MA – Yule-Walkerequations, Burg method-Unconstrained least squares method-Sequential estimation MethodsUNIT II SPECTRAL ESTIMATION 9Estimation of spectra from finite duration signals, Nonparametric methods -Periodogram, Modified periodogram, Bartlett, Welch and Blackman-Tukey methods,Parametric methods – ARMA, AR and MA model based spectral estimation, Solutionusing Levinson-Durbin algorithm

UNIT III LINEAR ESTIMATION AND PREDICTION 9Linear prediction – Forward and Backward prediction, Solution of Prony’s normalequations, Least mean-squared error criterion, Wiener filter for filtering and prediction,FIR and IIR Wiener filters, Discrete Kalman filter

UNIT IV ADAPTIVE FILTERS 9FIR adaptive filters – adaptive filter based on steepest descent method- Widrow-HopfLMS algorithm, Normalized LMS algorithm, Adaptive channel equalization, Adaptiveecho cancellation, Adaptive noise cancellation, RLS adaptive algorithm.

UNIT V MULTIRATE DIGITAL SIGNAL PROCESSING 9Mathematical description of change of sampling rate – Interpolation and Decimation,Decimation by an integer factor, Interpolation by an integer factor, Sampling rateconversion by a rational factor, Polyphase filter structures, Complementary filters-Interpolated FIR filters-Special FIR filters: Half band filter and Comb filter L: 45 TOTAL: 45

TEXTBOOKS Total: 45 1. Monson H. Hayes, “Statistical Digital Signal Processing and Modeling”, Wiley,2002. [Unit 1-4]2. John G. Proakis and Dimitris G. Manobakis, “Digital Signal Processing Principles, Algorithms and Applications”, 3rd Edition, PHI, 2000. [Unit 5]

REFERENCES 1. Rabiner L.R. and Schaber R.W., “Digital Processing of Speech Signals”, Pearson Education, 1979. [Unit 1-4]2. Roberto Crist, “Modern Digital Signal Processing”, Thomson Brooks/Cole, 2004. [Unit 1-4]

3. Raghuveer M. Rao, and Ajit S. Bopardikar, “Wavelet Transforms, Introduction to Theory and Applications”, Pearson Education, 2000. Education, 2007 [UNIT III, IV&V]. [Unit 5]

WEB RESOURCES:1. http://nptel.ac.in/courses/117101001/2. http://ocw.mit.edu/resources/res-6-008-digital-signal-processing-spring-2011/video-lectures/

COURSE OUTCOMESAt the end of the course the student will be able to

To design adaptive filters for a given application To design multirate DSP system