TY - GEN

T1 - Numerically efficient mean squared error threshold SNR prediction for adaptive arrays

AU - Richmond, Christ D.

PY - 2010/12/20

Y1 - 2010/12/20

N2 - The method of interval estimation (MIE) is an established technique for extending asymptotic mean squared error (MSE) predictions like the Cramér-Rao bound to lower signal-to-noise ratio. While application of MIE to the adaptive array problem was successful in [1], the numerical integration required to compute the pairwise error probabilities central to MIE is computationally expensive. This is primarily due to the double integral required, moreover, the integrand itself involves the Marcum Q-function, a specialize function that can be represented as an integral or infinite series. System analysis and design often requires computing MSE performance over a wide search space that easily demands hundreds to tens of thousands of repeated calculations of the pairwise error probabilities. To support this demand two approaches to approximating the required error probabilities are explored herein, one yielding a near ∼235 times speedup factor in computation without major loss in accuracy of MSE prediction.

AB - The method of interval estimation (MIE) is an established technique for extending asymptotic mean squared error (MSE) predictions like the Cramér-Rao bound to lower signal-to-noise ratio. While application of MIE to the adaptive array problem was successful in [1], the numerical integration required to compute the pairwise error probabilities central to MIE is computationally expensive. This is primarily due to the double integral required, moreover, the integrand itself involves the Marcum Q-function, a specialize function that can be represented as an integral or infinite series. System analysis and design often requires computing MSE performance over a wide search space that easily demands hundreds to tens of thousands of repeated calculations of the pairwise error probabilities. To support this demand two approaches to approximating the required error probabilities are explored herein, one yielding a near ∼235 times speedup factor in computation without major loss in accuracy of MSE prediction.

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U2 - 10.1109/SAM.2010.5606709

DO - 10.1109/SAM.2010.5606709

M3 - Conference contribution

AN - SCOPUS:78650159261

SN - 9781424489770

T3 - 2010 IEEE Sensor Array and Multichannel Signal Processing Workshop, SAM 2010

SP - 101

EP - 104

BT - 2010 IEEE Sensor Array and Multichannel Signal Processing Workshop, SAM 2010

T2 - 2010 IEEE Sensor Array and Multichannel Signal Processing Workshop, SAM 2010

Y2 - 4 October 2010 through 7 October 2010

ER -