Department of Mathematics
 Search | Help | Login | pdf version | printable version

Math @ Duke



Publications [#287153] of Ingrid Daubechies

Papers Published

  1. 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, vol. 46 no. 7 (2000), pp. 2491-2536, ISSN 0018-9448 [doi]
    (last updated on 2017/12/12)

    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.
ph: 919.660.2800
fax: 919.660.2821

Mathematics Department
Duke University, Box 90320
Durham, NC 27708-0320