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The Nonuniform Discrete Fourier Transform and Its Applications in Signal Processing

  • Sonali Bagchi
  • Sanjit K. Mitra

Table of contents

  1. Front Matter
    Pages i-xiv
  2. Sonali Bagchi, Sanjit K. Mitra
    Pages 1-9
  3. Sonali Bagchi, Sanjit K. Mitra
    Pages 11-45
  4. Sonali Bagchi, Sanjit K. Mitra
    Pages 47-96
  5. Sonali Bagchi, Sanjit K. Mitra
    Pages 97-150
  6. Sonali Bagchi, Sanjit K. Mitra
    Pages 151-171
  7. Sonali Bagchi, Sanjit K. Mitra
    Pages 173-196
  8. Sonali Bagchi, Sanjit K. Mitra
    Pages 197-199
  9. Back Matter
    Pages 201-208

About this book

Introduction

The growth in the field of digital signal processing began with the simulation of continuous-time systems in the 1950s, even though the origin of the field can be traced back to 400 years when methods were developed to solve numerically problems such as interpolation and integration. During the last 40 years, there have been phenomenal advances in the theory and application of digital signal processing. In many applications, the representation of a discrete-time signal or a sys­ tem in the frequency domain is of interest. To this end, the discrete-time Fourier transform (DTFT) and the z-transform are often used. In the case of a discrete-time signal of finite length, the most widely used frequency-domain representation is the discrete Fourier transform (DFT) which results in a finite­ length sequence in the frequency domain. The DFT is simply composed of the samples of the DTFT of the sequence at equally spaced frequency points, or equivalently, the samples of its z-transform at equally spaced points on the unit circle. The DFT provides information about the spectral contents of the signal at equally spaced discrete frequency points, and thus, can be used for spectral analysis of signals. Various techniques, commonly known as the fast Fourier transform (FFT) algorithms, have been advanced for the efficient com­ putation of the DFT. An important tool in digital signal processing is the linear convolution of two finite-length signals, which often can be implemented very efficiently using the DFT.

Keywords

Signal coding discrete Fourier transform filter filter design filters signal processing

Authors and affiliations

  • Sonali Bagchi
    • 1
  • Sanjit K. Mitra
    • 2
  1. 1.Lucent TechnologiesUSA
  2. 2.University of CaliforniaSanta BarbaraUSA

Bibliographic information

  • DOI https://doi.org/10.1007/978-1-4615-4925-3
  • Copyright Information Kluwer Academic Publishers 1999
  • Publisher Name Springer, Boston, MA
  • eBook Packages Springer Book Archive
  • Print ISBN 978-1-4613-7234-9
  • Online ISBN 978-1-4615-4925-3
  • Series Print ISSN 0893-3405
  • Buy this book on publisher's site