Digital Signal Processing Algorithms
eBook - ePub

Digital Signal Processing Algorithms

Number Theory, Convolution, Fast Fourier Transforms, and Applications

  1. 672 pages
  2. English
  3. ePUB (mobile friendly)
  4. Available on iOS & Android
eBook - ePub

Digital Signal Processing Algorithms

Number Theory, Convolution, Fast Fourier Transforms, and Applications

About this book

Digital Signal Processing Algorithms describes computational number theory and its applications to deriving fast algorithms for digital signal processing. It demonstrates the importance of computational number theory in the design of digital signal processing algorithms and clearly describes the nature and structure of the algorithms themselves. The book has two primary focuses: first, it establishes the properties of discrete-time sequence indices and their corresponding fast algorithms; and second, it investigates the properties of the discrete-time sequences and the corresponding fast algorithms for processing these sequences. Digital Signal Processing Algorithms examines three of the most common computational tasks that occur in digital signal processing; namely, cyclic convolution, acyclic convolution, and discrete Fourier transformation. The application of number theory to deriving fast and efficient algorithms for these three and related computationally intensive tasks is clearly discussed and illustrated with examples. Its comprehensive coverage of digital signal processing, computer arithmetic, and coding theory makes Digital Signal Processing Algorithms an excellent reference for practicing engineers. The authors' intent to demystify the abstract nature of number theory and the related algebra is evident throughout the text, providing clear and precise coverage of the quickly evolving field of digital signal processing.

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Yes, you can access Digital Signal Processing Algorithms by Hari Krishna in PDF and/or ePUB format, as well as other popular books in Technology & Engineering & Electrical Engineering & Telecommunications. We have over one million books available in our catalogue for you to explore.

Table of contents

  1. Cover
  2. Title Page
  3. Copyright Page
  4. Dedication
  5. 1 Introduction
  6. PART I COMPUTATIONAL NUMBER THEORY
  7. PART II CONVOLUTION ALGORITHMS
  8. PART III FAST FOURIER TRANSFORM (FFT) ALGORITHMS
  9. PART IV RECENT RESULTS ON ALGORITHMS IN FINITE INTEGER RINGS
  10. Paper one A Number Theoretic Approach to Fast Algorithms for Two-Dimensional Digital Signal Processing in Finite Integer Rings
  11. Paper two On Fast Algorithms for One Dimensional Digital Signal Processing in Finite Integer and Complex Integer Rings
  12. Paper three Cyclotomic Polynomial Factorization in Finite Integer Rings with Applications to Digital Signal Processing
  13. Paper four Error Control Techniques for Data Sequences Defined in Finite Integer Rings
  14. APPENDIX A Small Length Acyclic Convolution Algorithms
  15. APPENDIX B Classification of Cyclotomic Polynomials
  16. Index