Title

Optimal Dual Frames for Communication Coding With Probabilistic Erasures

Authors

Authors

J. S. Leng; D. G. Han;T. Z. Huang

Comments

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Abbreviated Journal Title

IEEE Trans. Signal Process.

Keywords

Codes; erasures; frames; optimal dual frames; OVERSAMPLED FILTER BANKS; THEORETIC ANALYSIS; REPRESENTATIONS; TRANSMISSION; QUANTIZATION; EXPANSIONS; SYSTEMS; Engineering, Electrical & Electronic

Abstract

Assume that a frame is preselected for encoding in a communication system. We investigate the optimal dual frames for signal reconstruction (decoding) which minimize the maximal error when the probabilistic erasures occur in the transmission process from the perspective of mathematical theory of frames. We set up a probability model under which we define the probability optimal (PO) dual frames for a given frame when the frame-based coding involves probabilistic erasures. We obtain a sufficient and necessary condition under which the canonical dual frame is the unique PO dual frame. Additionally, we derive some general sufficient conditions for which the canonical dual frame is either not optimal or it is optimal but not the unique optimal one. We present two simulation examples to compare the reconstruction effects when both the PO dual frames and the general optimal (GO) dual frames are used for reconstruction.

Journal Title

Ieee Transactions on Signal Processing

Volume

59

Issue/Number

11

Publication Date

1-1-2011

Document Type

Article

Language

English

First Page

5380

Last Page

5389

WOS Identifier

WOS:000297113500023

ISSN

1053-587X

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