Analysis of sensor impulse response effects on Cramèr–Rao lower bounds for signal parameter estimators

The Journal of Engineering

Ephraim S. Gower¹  Malcom O.J. Hawksford² 

[1] ICT and Electronics, Botswana Institute for Technology Research and Innovation, Gaborone, Botswana;School of Computer Science and Electronic Engineering, University of Essex, Colchester, UK

关键词: linearly filtered channel noise;    nonzero-mean channel noise;    filtered noise variance;    signal parameter estimators;    mixture density;    sensor impulse response effects;    parameter estimation;    Cramer–Rao lower bounds;    density function;    signal processing;   

DOI  :  10.1049/joe.2014.0230

学科分类：工程和技术（综合）

来源: IET

【 摘 要 】

In this study, a generic analysis of sensor impulse response effects on linearly filtered channel noise is presented to illustrate the resulting variations to the Cramèr–Rao lower bounds (CRLBs) of signal parameter estimators in signal processing and communication applications. The authors start by deriving the density function of a filtered signal, which is shown to be a mixture density, and hence the exact expressions for the mean and variance. Simulation results are used to confirm the derivations, which are then used to investigate the effects of impulse response length and variance, as well as channel noise length and variance effects on the resulting CRLBs. Results indicate that for non-zero-mean channel noise and impulse responses, the resulting mean of filtered noise can be relatively large causing adverse deviations to parameter estimations. The filtered noise variance is shown to be proportional to the impulse response energy, where for long duration of signal capture the CRLB is significantly increased.

【 授权许可】

CC BY