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Discrete-time signal processing / Alan V. Oppenheim, Ronald W. Schafer

Main Author Oppenheim, Alan V. Coauthor Schafer, Ronald W. Country Estados Unidos. Publication Englewood Cliffs, N.J. : Prentice Hall, [19--] Description XV, 879 p. : il. ; 24 cm Series Prentice-Hall Signal Processing Series ISBN 0-13-216771-9 CDU 621.391
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Monografia Biblioteca da UMinho no Campus de Azurém
BPG 621.391 - O Checked out 2022-01-24 85471

Mestrado Integrado em Engenharia de Telecomunicações e Informática Processamento Digital de Sinal 2º semestre

Mestrado Integrado em Engenharia Eletrónica Industrial e Computadores Processamento Digital de Sinal 2º semestre

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Table of contents provided by Syndetics

  • 1 Introduction
  • 2 Discrete-Time Signals and Systems
  • Introduction
  • Discrete-time Signals: Sequences
  • Discrete-time Systems
  • Linear Time-Invariant Systems
  • Properties of Linear Time-Invariant Systems
  • Linear Constant-Coefficient Difference Equations
  • Frequency-Domain Representation of Discrete-Time Signals and Systems
  • Representation of Sequence by Fourier Transforms
  • Symmetry Properties of the Fourier Transform
  • Fourier Transform Theorems
  • Discrete-Time Random Signals
  • Summary
  • 3 The z-Transform
  • Introduction
  • The z-Transform
  • Properties of the Region of Convergence for the z-Transform
  • The Inverse z-Transform
  • Z-Transform Properties
  • Summary
  • 4 Sampling of Continuous-Time Signals
  • Introduction
  • Periodic Sampling
  • Frequency-Domain Representation of Sampling
  • Reconstruction of a Bandlimited Signal from its Samples
  • Discrete-Time Processing of Continuous-Time Signals
  • Continuous-Time Processing of Discrete-Time Signals
  • Changing the Sampling Rate Using Discrete-Time Processing
  • Practical Considerations
  • Oversampling and Noise Shaping
  • Summary
  • 5 Transform Analysis of Linear Time-Invariant Systems
  • Introduction
  • The Frequency Response of LTI Systems
  • System Functions for Systems Characterized by Linea
  • Frequency Response for Rational System Functions
  • Relationship Between Magnitude and Phase
  • All-Pass Systems
  • Minimum-Phase Systems
  • Linear Systems with Generalized Linear Phase
  • Summary
  • 6 Structures for Discrete-Time Systems
  • Introduction
  • Block Diagram Representation of Linear Constant-Coefficient Difference Equations
  • Signal Flow Graph Representation of Linear Constant-Coefficient Difference Equations
  • Basic Structures for IIR Systems
  • Transposed Forms
  • Basic Network Structures for FIR Systems
  • Overview of Finite-Precision Numerical Effects
  • The Effects of Coefficient Quantization
  • Effects of Roundoff Noise in Digital Filters
  • Zero-Input Limit Cycles in Fixed-Point Realizations of IIR Digital Filters
  • Summary
  • 7 Filter Design Techniques
  • Introduction
  • Design of Discrete-Time IIR Filters from Continuous-Time Filters
  • Design of FIR Filters by Windowing
  • Examples of FIR Filter Design by the Kaiser Window Method
  • Optimum Approximations of FIR Filters
  • Examples of FIR Equiripple Approximation
  • Comments on IIR and FIR Digital Filters
  • Summary
  • 8 The Discrete Fourier Transform
  • Introduction
  • Representation of Periodic Sequences: the Discrete Fourier Series
  • Summary of Properties of the DFS Representation of Periodic Sequences
  • The Fourier Transform of Periodic Signals
  • Sampling the Fourier Transform
  • Fourier Representation of Finite-Duration Sequences: The Discrete-Fourier Transform
  • Properties of the Discrete Fourier Transform
  • Summary of Properties of the Discrete Fourier Transform
  • Linear Convolution Using the Discrete Fourier Transform
  • The Discrete Cosine Transform (DCT)
  • Summary
  • 9 Computation of the Discrete Fourier Transform
  • Introduction
  • Efficient Computation of the Discrete Fourier Transform
  • The Goertzel Algorithm Decimation-in-Time FFT Algorithms
  • Decimation-in-Frequency FFT Algorithms
  • Practical Considerations Implementation of the DFT Using Convolution
  • Summary
  • 10 Fourier Analysis of Signals Using the Discrete Fourier Transform
  • Introduction
  • Fourier Analysis of Signals Using the DFT
  • DFT Analysis of Sinusoidal Signals
  • The Time-Dependent Fourier Transform
  • Block Convolution Using the Time-Dependent Fourier Transform
  • Fourier Analysis of Nonstationary Signals
  • Fourier Analysis of Stationary Random Signals: the Periodogram
  • Spectrum Analysis of Random Signals Using Estimates of the Autocorrelation Sequence
  • Summary
  • 11 Discrete Hilbert Transforms
  • Introduction
  • Real and Imaginary Part Sufficiency of the Fourier Transform for Causal Sequences
  • Sufficiency Theorems for Finite-Length Sequences
  • Relationships Between Magnitude and Phase
  • Hilbert Transform Relations for Complex Sequences
  • Summary
  • Appendix A Random Signals
  • Discrete-Time Random Process
  • Averages
  • Properties of Correlation and Covariance Sequences
  • Transform Representation of Random Signals
  • Appendix B Continuous-Time Filters
  • Butterworth Lowpass Filters
  • Chebyshev Filters
  • Elliptic Filters

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