26 July 2000 Data-record-size requirements for adaptive antenna arrays
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We investigate the data-record-size requirements to meet a given performance objective in interference suppression and direction-of-arrival (DoA) estimation problems. For interference suppression problems we consider the MVDR (minimum-variance-distortionless-response) beamformer evaluated under desired-signal-present and desired-signal- absent conditions. For the former case we adopt as the figure of merit the ratio between the output variance of the ideal and the estimated SMI (sample-matrix-inversion) MVDR filter, while for the latter we examine the inverse of the corresponding ratio of the output SINRs (signal-to- interference-plus-noise ratio). For DoA estimation problems we consider the conventional and the MVDR DoA estimation algorithm and we adopt a spectrum-based performance measure that is given as a function of the ratio between the estimated and the ideal spectrum. For all cases, we derive closed form expressions that provide the data record size that is necessary to achieve a given performance confidence level in a neighborhood of the optimal performance point as well as expressions that identify the performance level that can be reached for a given data record size. This is done by utilizing close approximations of the involved probability density functions (pdfs) and Markoff-type inequalities. The practical significance of the derived expressions lies in the fact that they are functions of the number of antenna elements only while they are independent of the ideal covariance matrix which is not known in most realistic applications. As a byproduct of the above developments we derive close approximations to the pdf of the output SINR of the MVDR beamformer when the latter is estimated in the presence or in the absence of the desired signal.
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Ioannis N. Psaromiligkos, Stella N. Batalama, "Data-record-size requirements for adaptive antenna arrays", Proc. SPIE 4045, Digital Wireless Communication II, (26 July 2000); doi: 10.1117/12.394086; https://doi.org/10.1117/12.394086

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