The University of Southampton
University of Southampton Institutional Repository

Introduction to Discrete-Time Signals and Systems

Damper, R. I. (1995) Introduction to Discrete-Time Signals and Systems, Chapman and Hall

Record type: Book


Index: 1. Introduction 1.1 Continuous- and discrete-time signals 1.2 Delta and step functions 1.3 Sampling 1.4 Aliasing and the sampling theorem 1.5 Anti-aliasing 1.6 Interpolation 1.7 Power and energy of DT signals 1.8 Linear time-invariant systems 1.9 Fourier descriptions of CT signals 1.10 Interpolation 1.11 Summary 1.12 Exercises 2. Difference Equations 2.1 A moving-average filter 2.2 An infinite impulse response filter 2.3 General form of difference equation 2.4 Discrete differentiation and integration 2.5 Solution of difference equations 2.6 Summary 2.7 Exercises 3. The z-transform 3.1 Definition 3.2 Taylor and Laurent series 3.3 Relation to Fourier transform 3.4 Illustrative examples 3.5 Fundamental properties 3.6 The system function H(z) 3.7 The z-plane 3.8 Frequency response of a DT system 3.9 The inverse z-transform 3.10 Time response of a DT system 3.11 Summary 3.12 Exercises 4. Infinite impulse response (IIR) filters 4.1 The bilinear transform 4.2 Impulse invariance 4.3 Summary 4.4 Exercises 5. The discrete Fourier transform 5.1 Spectrum of a sampled signal 5.2 Definition of the DFT 5.3 Illustrative examples 5.4 The inverse DFT 5.5 Further properties of the DFT 5.6 Parseval's theorem and DT signals 5.7 Truncation and windowing 5.8 Interpolation by zero-padding 5.9 Ideal interpolation 5.10 Linear filtering using the DFT 5.11 Summary 5.12 Exercises 6. Finite impulse response (FIR) filters 6.1 Properties of FIR filters 6.2 Fourier series truncation 6.3 Windowing 6.4 Frequency sampling method 6.5 Computer-based design 6.6 Summary 6.7 Exercises 7. The fast Fourier transform 7.1 Direct evaluation of the DFT 7.2 Radix-2 algorithms 7.3 Algorithms for composite-N 7.4 The DFT of real data 7.5 Summary 7.6 Exercises 8. Random signals 8.1 Moments of a random signal 8.2 Stationarity and ergodicity 8.3 The probability density function 8.4 The autocorrelation function 8.5 The cross-correlation function 8.6 The power spectrum 8.7 Random signals and linear systems 8.8 Estimation from finite-length sequences 8.9 Summary 8.10 Exercises Contents

Full text not available from this repository.

More information

Published date: 1995
Additional Information: Address: London
Organisations: Southampton Wireless Group


Local EPrints ID: 250295
PURE UUID: 3839b212-3569-4c5b-b312-b546caf24bc5

Catalogue record

Date deposited: 01 Aug 2001
Last modified: 18 Jul 2017 10:43

Export record


Author: R. I. Damper

University divisions

Download statistics

Downloads from ePrints over the past year. Other digital versions may also be available to download e.g. from the publisher's website.

View more statistics

Atom RSS 1.0 RSS 2.0

Contact ePrints Soton:

ePrints Soton supports OAI 2.0 with a base URL of

This repository has been built using EPrints software, developed at the University of Southampton, but available to everyone to use.

We use cookies to ensure that we give you the best experience on our website. If you continue without changing your settings, we will assume that you are happy to receive cookies on the University of Southampton website.