Du är här

Optimal Linear Joint Source-Channel Coding with Delay Constraint

Publiceringsår: 2012
Språk: Engelska
Publikation/Tidskrift/Serie: IEEE Transactions on Information Theory
Dokumenttyp: Artikel
Övrig information: Submitted to IEEE Transactions on Information Theory on March 28th 2012. month=March

Sammanfattning

The problem of joint source-channel coding is considered for a stationary remote (noisy) Gaussian source and a Gaussian channel. The encoder and decoder are assumed to be causal and their combined operations are subject to a delay constraint. It is shown that, under the mean-square error distortion metric, an optimal encoder-decoder pair from the linear and time-invariant (LTI) class can be found by minimization of a convex functional and a spectral factorization. The functional to be minimized is the sum of the well-known cost in a corresponding Wiener filter problem and a new term, which is induced by the channel noise and whose coefficient is the inverse of the channel's signal-to-noise ratio. This result is shown to also hold in the case of vector-valued signals, assuming parallel additive white Gaussian noise channels. It is also shown that optimal LTI encoders and decoders generally require infinite memory, which implies that approximations are necessary.
A numerical example is provided, which compares the performance to the lower bound provided by rate-distortion theory.

Disputation

Nyckelord

  • Technology and Engineering
  • Analog transmission
  • causal coding
  • delay constraint
  • joint source-channel coding
  • MSE distortion
  • remote source
  • signal-to-noise ratio (SNR).

Övrigt

  • Vetenskapsrådet
Submitted
  • LCCC
  • LCCC
Copyright 2012 IEEE. Personal use of this material is permitted. Permission from IEEE must be obtained for all other uses, in any current or future media, including reprinting/republishing this material for advertising or promotional purposes, creating new collective works, for resale or redistribution to servers or lists, or reuse of any copyrighted component of this work in other works.

Box 117, 221 00 LUND
Telefon 046-222 00 00 (växel)
Telefax 046-222 47 20
lu [at] lu [dot] se

Fakturaadress: Box 188, 221 00 LUND
Organisationsnummer: 202100-3211
Om webbplatsen

LERU logo U21 logo