Title | Foundation of Digital Signal Processing |
---|---|

Tags | Data Compression Discrete Fourier Transform Analog To Digital Converter Digital Signal Processing Fourier Series |

File Size | 2.8 MB |

Total Pages | 485 |

Contents Preface About the programs 1 Definitions and applications of digital signal processing 1.1 What is digital signal processing? 1.2 For whom this book is written and its content 1.3 What is DSP used for? 1.4 Application areas 1.5 A little history 2 A linear systems toolbox 2.1 Introduction 2.2 Linear systems 2.3 Complex numbers 2.4 Calculus 2.5 Introduction to differential equations 2.6 Calculus and digital signal processing 2.7 Operational amplifiers 2.8 Final remarks: using linear systems theory 3 An introduction to high-level computer programming using Delphi 3.1 Introduction 3.2 Why Delphi? 3.3 General program structure 3.4 A blank Delphi program 3.5 Adding some functionality 3.6 A program to demonstrate some key Delphi capabilities 3.7 Advanced features of Delphi: writing components, the media player, DLLS and Windows API 3.8 Final remarks: programming and DSP 4 Analysis of simple electrical systems using complex impedance, differential and difference equations 4.1 Introduction 4.2 Complex impedance analysis 4.3 Differential equations in the analysis of circuits 4.4 Difference equations in the simulation of circuits 4.5 Final remarks: complex impedance, differential and difference equations in DSP 5 Introduction to convolution and correlation 5.1 Introduction 5.2 Using impulse function to represent discrete signals 5.3 Description of convolution 5.4 Auto-correlation and cross-correlation 5.5 Final remarks: convolution and the Fourier domain 6 Fourier analysis 6.1 Introduction 6.2 The continuous trigonometric Fourier series for periodic signals 6.3 Data representation and graphing 6.4 The continuous trigonometric Fourier series for aperiodic signals 6.5 Observations on the continuous Fourier series 6.6 Exponential representation of the Fourier series 6.7 The continuous Fourier transform 6.8 Discrete Fourier analysis 6.9 Introduction to the fast Fourier transform 6.10 Final remarks: from theory to implementation 7 Discrete Fourier properties and processing 7.1 Introduction 7.2 Discrete frequencies and spectral leakage 7.3 Side lobes and the use of window functions 7.4 Representation of spectral data 7.5 Considerations of phase 7.6 Key properties of the discrete Fourier transform 7.7 Common signal operations processing using the discrete Fourier transform 7.8 Final remarks: other properties and processing techniques associated with the DFT 8 Introduction to Laplace space and the Laplace transform 8.1 Introduction 8.2 Conceptual framework of the Laplace transform 8.3 A more detailed look at Laplace space 8.4 Stability, passive and active systems and cascade design 8.5 Final remarks: Laplace in relation to DSP 9 An introduction to z-space, the z-transform and digital filter design 9.1 Introduction 9.2 The z-transform: definitions and properties 9.3 Digital filters, diagrams and the z-transfer function 9.4 IIR filter design using poleŒzero placement: the program ztransfer.exe 9.5 FIR and IIR filters: merits and disadvantages 9.6 Final remarks: the z-transform in relation to FIR and IIR filters 10 Signal sampling, analog to digital and digital to analog conversion 10.1 Introduction 10.2 The process of sampling 10.3 Signal digitisation 10.4 Principles of analog to digital conversion 10.5 Principles of digital to analog conversion 10.6 ADCs and DACs in system 10.7 Final remarks: dynamic range of ADCs and DACs 11 The design and implementation of finite impulse response filters 11.1 Introduction 11.2 The window method 11.3 Phase linearity 11.4 The frequency sampling method 11.5 Software for arbitrary FIR design: Signal Wizard 11.6 Inverse filtering and signal reconstruction 11.7 Final remarks: FIR design and implementation algorithms 12 The design and implementation of infinite impulse response filters 12.1 Introduction 12.2 The bilinear z-transform: definitions 12.3 The BZT and second order passive systems 12.4 Digital Butterworth and Chebyshev IIR filters 12.5 Biquad algorithm design strategies 12.6 PoleŒzero placement revisited 12.7 FIR expression of IIR responses 12.8 Observations on IIR and FIR filters 12.9 Final remarks: the classes of digital filter 13 Rudiments of adaptive filters 13.1 Introduction 13.2 Brief theory of adaptive FIR filters 13.3 The least mean square adaptive FIR algorithm 13.4 Use of the adaptive filter in system modelling 13.5 Delayed (single) input adaptive LMS filters for noise removal 13.6 The true (dual input) adaptive LMS filter 13.7 Observations on real-time applications of adaptive filters 13.8 Final remarks on adaptive filters 14 The design and programming of real-time DSP systems Part 1: The Motorola DSP56309 processor Œ architecture and language 14.1 Introduction 14.2 The Motorola DSP56309 14.3 DSP563xx assembly language programming 14.4 Final remarks: the DSP56309 15 The design and programming of real-time DSP systems Part 2: Hardware and alogrithms 15.1 Introduction 15.2 Reset and clock system 15.3 Communication system 15.4 External memory system 15.5 The audio codec system 15.6 Hints on circuit layout 15.7 Real-time DSP algorithms 15.8 Final remarks: real-time system design 16 Concluding remarks Appendix: Summary of the theory and algorithmic development of the fast Fourier transform A.1 Introduction A.2 Important algebraic notations A.3 The re-composition equations A.4 The FFT butterfly A.5 Re-ordering the input data A.6 Butterfly computations A.7 Loop calculations A.8 Program development Bibliography and references Index

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