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The analysis and design of windowed fourier frame based multiple description source coding schemes

Publication ,  Journal Article
Balan, R; Daubechies, I; Vaishampayan, V
Published in: IEEE Transactions on Information Theory
December 1, 2000

In this paper the windowed Fourier encoding-decoding scheme applied to the multiple description compression problem is analyzed. In the general case, four window functions are needed to define the encoder and decoder, although this number can be reduced to three or two by using time-shift or frequency-shift division schemes. The encoding coefficients are next divided into two groups according to the eveness of either modulation or translation index. The distortion on each channel is analyzed using the Zak transform. For the optimal windows, explicit representation formulas are obtained and nonlocalization results are proved. Asymptotic formulas of the total distortion and transmission rate are established and the redundancy is shown to trade off between these two. © 2000 IEEE.

Duke Scholars

Published In

IEEE Transactions on Information Theory

DOI

ISSN

0018-9448

Publication Date

December 1, 2000

Volume

46

Issue

7

Start / End Page

2491 / 2536

Related Subject Headings

  • Networking & Telecommunications
  • 4613 Theory of computation
  • 4006 Communications engineering
  • 1005 Communications Technologies
  • 0906 Electrical and Electronic Engineering
  • 0801 Artificial Intelligence and Image Processing
 

Citation

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Balan, R., Daubechies, I., & Vaishampayan, V. (2000). The analysis and design of windowed fourier frame based multiple description source coding schemes. IEEE Transactions on Information Theory, 46(7), 2491–2536. https://doi.org/10.1109/18.887860
Balan, R., I. Daubechies, and V. Vaishampayan. “The analysis and design of windowed fourier frame based multiple description source coding schemes.” IEEE Transactions on Information Theory 46, no. 7 (December 1, 2000): 2491–2536. https://doi.org/10.1109/18.887860.
Balan R, Daubechies I, Vaishampayan V. The analysis and design of windowed fourier frame based multiple description source coding schemes. IEEE Transactions on Information Theory. 2000 Dec 1;46(7):2491–536.
Balan, R., et al. “The analysis and design of windowed fourier frame based multiple description source coding schemes.” IEEE Transactions on Information Theory, vol. 46, no. 7, Dec. 2000, pp. 2491–536. Scopus, doi:10.1109/18.887860.
Balan R, Daubechies I, Vaishampayan V. The analysis and design of windowed fourier frame based multiple description source coding schemes. IEEE Transactions on Information Theory. 2000 Dec 1;46(7):2491–2536.

Published In

IEEE Transactions on Information Theory

DOI

ISSN

0018-9448

Publication Date

December 1, 2000

Volume

46

Issue

7

Start / End Page

2491 / 2536

Related Subject Headings

  • Networking & Telecommunications
  • 4613 Theory of computation
  • 4006 Communications engineering
  • 1005 Communications Technologies
  • 0906 Electrical and Electronic Engineering
  • 0801 Artificial Intelligence and Image Processing