Sequential energy allocation strategies for channel estimation

被引:0
|
作者
Rangarajan, Raghuram [1 ]
Raich, Raviv [1 ]
Hero, Alfred O., III [1 ]
机构
[1] Univ Michigan, Dept EECS, Ann Arbor, MI 48109 USA
关键词
parameter estimation; adaptive control; energy allocation; maximum likelihood; MMSE;
D O I
暂无
中图分类号
O42 [声学];
学科分类号
070206 ; 082403 ;
摘要
The context of this paper is adaptive waveform design for estimating parameters of an unknown channel under average energy constraints. This paper focuses on the simpler problem of adaptive waveform-amplitude design for which we obtain interesting analytical results. We treat an N-step design problem where a fixed waveform can be transmitted into the channel N times with amplitudes that can be chosen as a function of past channel outputs. For N = 2 and a linear Gaussian channel model, we derive the optimal amplitude to transmit at the second step as a function of the first measurement. This adaptive 2-step energy allocation strategy yields a mean-squared error (MSE) improvement of at least 1.7dB relative to the optimal non-adaptive strategy. Motivated by the optimal two-step strategy we propose a suboptimal adaptive N-step strategy that can achieve an MSE improvement of more than 5dB for N = 50. Applications of our results to MIMO and inverse scattering channel models are discussed.
引用
收藏
页码:821 / +
页数:2
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