Title
Optimized Filtering And Reconstruction In Predictive Quantization With Losses
Abstract
Consider a communication system in which a filtered and quantized signal is sent over a channel with erasures and (potentially) additive noise. Linear MMSE estimation is achieved in such a system by Kalman filtering. Allowing any Markov erasure process and any Markov-state jump linear signal generation model, it is shown that the estimation performance at the receiver can be computed as a deterministic optimization with linear matrix inequality (LMI) constraints rather than a pseudorandom Simulation. Furthermore, in contrast to the case without erasures, the filtering in the transmitter should not necessarily be MMSE prediction (whitening): a procedure is given to find a locally optimal prefilter. The main tools are recent LMI characterizations of asymptotic state estimation error covariance and Output estimation error variance for discrete-time jump linear systems in which the discrete portion of the system state is a Markov chain. As another application of this framework, a novel analysis and optimization of a "streaming" version of multiple description coding based on subsampling is outlined.
Year
DOI
Venue
2004
10.1109/ICIP.2004.1421805
ICIP: 2004 INTERNATIONAL CONFERENCE ON IMAGE PROCESSING, VOLS 1- 5
Keywords
Field
DocType
discrete time,kalman filter,markov processes,channel coding,linear matrix inequality,markov chain,communication system,image reconstruction,multiple description coding
Multiple description coding,Markov process,Control theory,Computer science,Markov chain,Filter (signal processing),Kalman filter,Quantization (signal processing),Linear matrix inequality,Covariance
Conference
ISSN
Citations 
PageRank 
1522-4880
0
0.34
References 
Authors
4
4
Name
Order
Citations
PageRank
Alyson K. Fletcher155241.10
Sundeep Rangan23101163.90
Vivek K. Goyal32031171.16
Kannan Ramchandran494011029.57