DocumentCode :
1412755
Title :
The analysis and design of windowed Fourier frame based multiple description source coding schemes
Author :
Balan, Radu ; Daubechies, Ingrid ; Vaishampayan, Vinay
Author_Institution :
Program in Appl. & Comput. Math., Princeton Univ., NJ, USA
Volume :
46
Issue :
7
fYear :
2000
fDate :
11/1/2000 12:00:00 AM
Firstpage :
2491
Lastpage :
2536
Abstract :
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 the 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
Keywords :
Fourier transforms; decoding; rate distortion theory; redundancy; source coding; Zak transform; asymptotic formulas; distortion; frequency-shift division; modulation; multiple description compression problem; nonlocalization results; redundancy; representation formulas; time-shift division; translation index; transmission rate; window functions; windowed Fourier encoding-decoding scheme; windowed Fourier frame based multiple description source coding schemes; Decoding; Degradation; Electronic mail; Fourier transforms; Frequency conversion; Helium; Mathematics; Rate distortion theory; Rate-distortion; Source coding;
fLanguage :
English
Journal_Title :
Information Theory, IEEE Transactions on
Publisher :
ieee
ISSN :
0018-9448
Type :
jour
DOI :
10.1109/18.887860
Filename :
887860
Link To Document :
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