Introduction to Discrete-Time Signals and Systems
Introduction to Discrete-Time Signals and Systems
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
Damper, R. I.
6e0e7fdc-57ec-44d4-bc0f-029d17ba441d
1995
Damper, R. I.
6e0e7fdc-57ec-44d4-bc0f-029d17ba441d
Damper, R. I.
(1995)
Introduction to Discrete-Time Signals and Systems
,
Chapman & Hall
Abstract
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
This record has no associated files available for download.
More information
Published date: 1995
Additional Information:
Address: London
Organisations:
Southampton Wireless Group
Identifiers
Local EPrints ID: 250295
URI: http://eprints.soton.ac.uk/id/eprint/250295
PURE UUID: 3839b212-3569-4c5b-b312-b546caf24bc5
Catalogue record
Date deposited: 01 Aug 2001
Last modified: 14 Dec 2023 17:40
Export record
Contributors
Author:
R. I. Damper
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