On the asymptotic resolvability of far-field stochastic sources | IEEE Conference Publication | IEEE Xplore

On the asymptotic resolvability of far-field stochastic sources


Abstract:

The resolvability of two closely spaced signals is an important performance measure for parametric estimation problems. In this paper, we investigate the minimum signal-t...Show More

Abstract:

The resolvability of two closely spaced signals is an important performance measure for parametric estimation problems. In this paper, we investigate the minimum signal-to-noise ratio, denoted by SNRmin, required to correctly resolve two closely spaced stochastic sources in the far-field context. As a by-product, we first derive an analytical expression of the stochastic Cramér-Rao bound (CRB) with respect to the separation parameter (i.e., we consider a new parametrization where one source is fixed). Then using the Smith criterion, we derive a closed-form expression of the SNRmin. Our analytical expression reveals some insightful properties that are discussed in detail and, finally, numerical examples are provided to corroborate the proposed theoretical analysis.
Date of Conference: 27-31 August 2012
Date Added to IEEE Xplore: 18 October 2012
Print ISBN:978-1-4673-1068-0

ISSN Information:

Conference Location: Bucharest, Romania

References

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