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arXiv · 1904.11178

Weak-Noise Modulation-Estimation of Vector Parameters

Neri Merhav
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Abstract

We address the problem of modulating a parameter onto a power-limited signal, transmitted over a discrete-time Gaussian channel and estimating this parameter at the receiver. Continuing an earlier work, where the optimal trade-off between the weak-noise estimation performance and the outage probability (threshold-effect breakdown) was studied for a single (scalar) parameter, here we extend the derivation of the weak-noise estimation performance to the case of a multi-dimensional vector parameter. This turns out to be a non-trivial extension, that provides a few insights and it has some interesting implications, which are discussed in depth. Several modifications and extensions of the basic setup are also studied and discussed.

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Neri Merhav. 2019-04-25. Weak-Noise Modulation-Estimation of Vector Parameters. https://arxiv.org/abs/1904.11178

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