Discrete cosine and sine transforms : general properties, fast algorithms and integer approximations

著者

    • Britanak, Vladimir
    • Yip, Patrick C.
    • Rao, K. R.

書誌事項

Discrete cosine and sine transforms : general properties, fast algorithms and integer approximations

Vladimir Britanak, Patrick C. Yip, K.R. Rao

Elsevier, c2007

大学図書館所蔵 件 / 5

この図書・雑誌をさがす

内容説明・目次

内容説明

The Discrete Cosine Transform (DCT) is used in many applications by the scientific, engineering and research communities and in data compression in particular. Fast algorithms and applications of the DCT Type II (DCT-II) have become the heart of many established international image/video coding standards. Since then other forms of the DCT and Discrete Sine Transform (DST) have been investigated in detail. This new edition presents the complete set of DCT and DST discrete trigonometric transforms, including their definitions, general mathematical properties, and relations to the optimal Karhunen-Loeve transform (KLT), with the emphasis on fast algorithms (one-dimensional and two-dimensional) and integer approximations of DCTs and DSTs for their efficient implementations in the integer domain. DCTs and DSTs are real-valued transforms that map integer-valued signals to floating-point coefficients. To eliminate the floating-point operations, various methods of integer approximations have been proposed to construct and flexibly generate a family of integer DCT and DST transforms with arbitrary accuracy and performance. The integer DCTs/DSTs with low-cost and low-powered implementation can replace the corresponding real-valued transforms in wireless and satellite communication systems as well as portable computing applications. The book is essentially a detailed excursion on orthogonal/orthonormal DCT and DST matrices, their matrix factorizations and integer aproximations. It is hoped that the book will serve as a valuable reference for industry, academia and research institutes in developing integer DCTs and DSTs as well as an inspiration source for further advanced research.

目次

1. Discrete Cosine and Sine Transforms2. Definitions and General Properties3. The Karhunen-Loeve Transform and Optimal Decorrelation4. Fast DCT/DST Algorithms5. Integer Discrete Cosine/Sine Transforms

「Nielsen BookData」 より

詳細情報

  • NII書誌ID(NCID)
    BA80738269
  • ISBN
    • 0123736242
  • LCCN
    2006931102
  • 出版国コード
    ne
  • タイトル言語コード
    eng
  • 本文言語コード
    eng
  • 出版地
    Amsterdam
  • ページ数/冊数
    xiv, 349 p.
  • 大きさ
    25 cm
ページトップへ