Conference Contribution

MIMO Encoder and Decoder Design for Signal Estimation

Erik Johannesson, Andrey Ghulchak, Anders Rantzer, Bo Bernhardsson


We study the joint design of optimal linear MIMO encoders and decoders for filtering and transmission of a vector- valued signal over parallel Gaussian channels subject to a real- time constraint. The objective is to minimize the sum of the estimation error variances at the receiving end. The design problem is nonconvex, but it is shown that a global optimum can be found by solving a related two-stage problem. The first stage consists of a mixed norm minimization problem, where the 2-norm corresponds to the error variance in a corresponding Wiener-Kolmogorov filtering problem and the 1-norm is induced by the channel noise. The second stage consists of a matrix spectral factorization.


networked control, signal estimation, real-time coding, gaussian channel

In Proc. 19th International Symposium on Mathematical Theory of Networks and Systems, Budapest, Hungary, July 2010.

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