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Digital Signal Processing & Digital Filters

Digital Signal Processing & Digital Filters ppt slides

By Professor A G Constantinides

Contents

1) Introduction

n   Review of background DSP

n   Review of mathematical methods

n   Review of discrete-time random processes and linear systems

2) Multirate techniques and wavelets

n Introduction to short-time Fourier analysis

n Filter-banks and overlap-add methods of analysis and synthesis

n Introduction to generalised time-frequency representation

n Wavelet analysis

n Multirate signal processing

n Interpolation and decimation

n Efficient filter structures for interpolation and decimation

3) Classical spectrum estimation methods

n Power spectrum, power spectral density functions, random processes and linear systems

n Introduction to statistical estimation and estimators

n Biased and unbiased estimators

n Einstein/Wiener Khintchine Theorem

n Estimation of autocorrelations

n Means and variances of periodograms

n Smoothed spectral estimates, leakage

4) Modern spectrum estimation methods

n Introduction to modern spectral estimation: Principles and approaches

n Cramer-Rao Lower Bound (CRLB) and Efficient estimators

n The Maximum Entropy Method (MEM) or Autoregressive Power Spectrum Estimation: Principles.

n The MEM equations and Levinson/Durbin algorithm

n Introduction to Linear Prediction

n Linear Predictive Coding using covariances and correlations

n Cholesky decomposition

n Lattice Filters

n Linear Prediction of Speech Signals

5) Adaptive signal processing

n Introduction to adaptive signal processing

n Objective measures of goodness

n Least squares and consequences

n Steepest descent

n The LMS and RLS algorithms

n Kalman Filters

6) Applications

§  Communications

§  Biomedical

§  Seismic

§  Audio/Music

Lecture Slides Download here  

Chapter 1 :
blueball.gif (334 bytes)    Introduction
Chapter 2 :
blueball.gif (334 bytes)    FIR Digital Filters blueball.gif (334 bytes)    IIR Digital Filters
Chapter 3 :
blueball.gif (334 bytes)    Multirate
Chapter 4 :
blueball.gif (334 bytes)    DFT Transforms blueball.gif (334 bytes)    DFT Transforms 1to2 blueball.gif (334 bytes)    General Transforms blueball.gif (334 bytes)    Wavelets
Chapter 5 :
blueball.gif (334 bytes)    Finite Wordlength
Chapter 6 :
blueball.gif (334 bytes)    Fourier Transform & DFT blueball.gif (334 bytes)    FFT Based Power Spectrum Estimation blueball.gif (334 bytes)    Modern Spectral Estimation blueball.gif (334 bytes)    Estimation Introduction blueball.gif (334 bytes)    Eigen Based Methods blueball.gif (334 bytes)    A Prediction Problem
Chapter 7 :
blueball.gif (334 bytes)    Adaptive Signal Processing
Chapter 8 :
blueball.gif (334 bytes)    Applications Part 1 blueball.gif (334 bytes)    Applications Part 2
  
Background Information :
Background DSP Information :

blueball.gif (334 bytes)    Chapter 1 - The Z Transform blueball.gif (334 bytes)    Chapter 2 - Transfer Functions blueball.gif (334 bytes)    Chapter 3 - Signal Flow Graphs blueball.gif (334 bytes)    Chapter 4 - Digital Filters Introduction
Background Mathematical Information :
 blueball.gif (334 bytes)    Chapter 1 - Signal Spaces
 blueball.gif (334 bytes)    Chapter 2 - Linear Transformations