Dsp course contents

Professor A G Constantinides© 1

AGC

DSP

AGC

DSP

Digital Signal Processing & Digital Signal Processing & Digital FiltersDigital Filters

An Introductory CourseBy

Professor A G ConstantinidesMSc, EE4, ISE4, PhD


AGC

DSP

AGC

DSP


Contents

1-Introduction1) Introduction to Digital Signal Processing Review of background DSP Review of mathematical methods Review of discrete-time random

processes and linear systems


AGC

DSP

AGC

DSP


2) Multirate techniques and wavelets Introduction to short-time Fourier analysis Filter-banks and overlap-add methods of analysis

and synthesis Introduction to generalised time-frequency

representation Wavelet analysis Multirate signal processing Interpolation and decimation Efficient filter structures for interpolation and

decimation


AGC

DSP

AGC

DSP


3) Classical spectrum estimation methods Power spectrum, power spectral density functions,

random processes and linear systems Introduction to statistical estimation and estimators Biased and unbiased estimators Einstein/Wiener Khintchine Theorem Estimation of autocorrelations Means and variances of periodograms Smoothed spectral estimates, leakage


AGC

DSP

AGC

DSP


4) Modern spectrum estimation methods Introduction to modern spectral estimation:

Principles and approaches Cramer-Rao Lower Bound (CRLB) and Efficient

estimators The Maximum Entropy Method (MEM) or

Autoregressive Power Spectrum Estimation: Principles.

The MEM equations and Levinson/Durbin algorithm


AGC

DSP

AGC

DSP


4) Modern spectrum estimation methods (continued)

Introduction to Linear Prediction Linear Predictive Coding using covariances

and correlations Cholesky decomposition Lattice Filters Linear Prediction of Speech Signals


AGC

DSP

AGC

DSP


5) Adaptive signal processing

Introduction to adaptive signal processing Objective measures of goodness Least squares and consequences Steepest descent The LMS and RLS algorithms Kalman Filters


AGC

DSP

AGC

DSP


6) Applications

Communications Biomedical Seismic Audio/Music


AGC

DSP

AGC

DSP

DIGITAL FILTERSDIGITAL FILTERSDigital Filters In this course you will learn: How to choose an appropriate filter

response. Why Butterworth responses are maximally

flat. Why Chebyshev and Elliptic responses are

equiripple. When to choose an IIR and when an FIR

filter


AGC

DSP

AGC

DSP

DIGITAL FILTERSDIGITAL FILTERS How do you design FIR and IIR filters from

specifications on amplitude performance? What are multirate systems and their

properties? What is interpolation / Upsampling and Decimation / Downsampling?

How do you design efficient Decimation and Interpolation systems?

What are frequency transformations and how do you design these?

How accurate is the DFT as a spectrum estimator?


AGC

DSP

AGC

DSP

DIGITAL FILTERSDIGITAL FILTERS

What are short FFT algorithms? How do you choose the required

wordlength? What are Fast Convolutions and how

are they realised? How do you deal with a DSP problem in

practice?


AGC

DSP

AGC

DSP

Course contentCourse contentAssumed DSP background

DSP Background folder 1-Introduction 2-z transform 3-transfer functions 4-Signal Flow Graphs 5-digital filters intro


AGC

DSP

AGC

DSP

Course contentCourse content

2-Digital Filter Design 1-Digital Filters (FIR) 2-Digital Filters (IIR)

3-Multirate1-Interpolation_Decimation


AGC

DSP

AGC

DSP


4-Tranforms 1-DFT 2-DFT_one2two 3-general transforms 4-Wavelets

5-Finite Wordlength 1-Finite Wordlength


AGC

DSP

AGC

DSP

Course contentCourse content6-Spectrum Estimation (Assumed

background in Mathematical Background folder)

1-Fourier transform & DFT 2-FFT-based Power Spectrum Estimation 3-Modern Spectrum Estimation 4-Intro-Estimation 5-Eigen-based methods 6-A Prediction Problem


AGC

DSP

AGC

DSP


7-Adaptive Signal Processing 1-Adaptive Signal Processing

8-Applications 1-Applications 2-Applications


AGC

DSP

AGC

DSP


BOOKS Main Course text books: Digital Signal

Processing: A computer Based Approach, S K Mitra, McGraw Hill

Mathematical Methods and Algorithms for Signal Processing, Todd Moon, Addison Wesley

Other books: Digital Signal Processing, Roberts & Mullis,

Addison Wesley Digital Filters, Antoniou, McGraw Hill


AGC

DSP

AGC

DSP

DIGITAL FILTERSDIGITAL FILTERSAnalogue Vs Digital Signal Processing Reliability:Analogue system performance degrades due

to:• Long term drift (ageing)• Short term drift (temperature?)• Sensitivity to voltage instability.• Batch-to-Batch component variation.• High discrete component count

Interconnection failures


AGC

DSP

AGC

DSP

DIGITAL FILTERSDIGITAL FILTERSDigital Systems:• No short or long term drifts.• Relative immunity to minor power supply

variations.• Virtually identical components.• IC’s have > 15 year lifetime• Development costs• System changes at design/development

stage only software changes.• Digital system simulation is realistic.


AGC

DSP

AGC

DSP


Power aspects Size Dissipation

DSP chips available as well as ASIC/FPGA realisations


AGC

DSP

AGC

DSP

ApplicationsApplications

Radar systems & Sonar systems • Doppler filters.• Clutter Suppression.• Matched filters.• Target tracking. Identification


AGC

DSP

AGC

DSP


Image Processing Image data compression. Image filtering. Image enhancement. Spectral Analysis. Scene Analysis / Pattern recognition.


AGC

DSP

AGC

DSP


Biomedical Signal Analysis Spatial image enhancement. (X-rays) Spectral Analysis. 3-D reconstruction from projections. Digital filtering and Data compression.


AGC

DSP

AGC

DSP


Music Music recording. Multi-track “mixing”. CD and DAT. Filtering / Synthesis / Special effects.


AGC

DSP

AGC

DSP


Seismic Signal Analysis

Bandpass Filtering for S/N improvement.

Predictive deconvolution to extract reverberation characteristics.

Optimal filtering. (Wiener and Kalman.)


AGC

DSP

AGC

DSP

DIGITAL FILTERSDIGITAL FILTERSTelecommunications and Consumer

ProductsThese are the largest and most

pervasive applications of DSP and Digital Filtering

Mobile Communications Digital Recording Digital Cameras Blue Tooth or similar

Documents

Dsp course contents