Title :
Sequential design of experiments for a rayleigh inverse scattering problem
Author :
Rangarajan, Raghuram ; Raich, Raviv ; Hero, Alfred O., III
Author_Institution :
Dept. of EECS., Michigan Univ., Ann Arbor, MI
Abstract :
We consider the problem of imaging a Rayleigh scattering medium using an array of sensors. We study the effect of noise on the estimation of Rayleigh scatterer reflection powers by setting up a sequential design of experiments. We derive an expression for the mean squared error for estimating the scatterer reflection powers. We keep the transmitted spatial waveforms fixed and find the optimal energy allocation strategy that minimizes this error under a fixed energy constraint. We show that this sequential design approach performs better than a single step experiment. Closed-form expressions for the optimal transmission scheme and the minimum mean squared error are provided
Keywords :
Rayleigh scattering; array signal processing; least mean squares methods; Rayleigh inverse scattering problem; Rayleigh scattering medium imaging; closed-form expression; minimum mean squared error; optimal energy allocation; sensor array; sequential design; Acoustic imaging; Acoustic noise; Acoustic reflection; Acoustic scattering; Focusing; Image sensors; Inverse problems; Rayleigh scattering; Sensor arrays; Signal processing;
Conference_Titel :
Statistical Signal Processing, 2005 IEEE/SP 13th Workshop on
Conference_Location :
Novosibirsk
Print_ISBN :
0-7803-9403-8
DOI :
10.1109/SSP.2005.1628670