Title

Optimal Dual Frames For Communication Coding With Probabilistic Erasures

Keywords

Codes; erasures; frames; optimal dual frames

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. © 2011 IEEE.

Publication Date

11-1-2011

Publication Title

IEEE Transactions on Signal Processing

Volume

59

Issue

11

Number of Pages

5380-5389

Document Type

Article

Personal Identifier

scopus

DOI Link

https://doi.org/10.1109/TSP.2011.2162955

Socpus ID

80054061606 (Scopus)

Source API URL

https://api.elsevier.com/content/abstract/scopus_id/80054061606

This document is currently not available here.

Share

COinS