Evaluating super-resolution bounds on the detection of multiple signals

Ira J. Clarke; C. A. Speirs

doi:10.1117/12.367644

2 November 1999 Evaluating super-resolution bounds on the detection of multiple signals

Ira J. Clarke, C. A. Speirs

Proceedings Volume 3807, Advanced Signal Processing Algorithms, Architectures, and Implementations IX; (1999) https://doi.org/10.1117/12.367644
Event: SPIE's International Symposium on Optical Science, Engineering, and Instrumentation, 1999, Denver, CO, United States

Abstract

The conventional resolution of individual emitters or frequencies within a cluster is limited by the physical dimensions and electrical aspects (such as the bandwidth) of a sensor system. Super-resolution describes algorithmic techniques that potentially enhance the conventional degree of resolution. Although there has been considerable research into super-resolution techniques (since 1970), there has, in contrast, been very little that addresses the fundamental bound of resolution performance that should theoretically be achievable by a 'perfect' algorithm in ideal conditions. The purpose of this paper is to present a generic method for predicting the fundamental resolution limit. We show that the resolution of closely-spaced signal waveforms is intrinsically linked to the signal-to-noise ratios of those signals. The method can be applied to individual spatial, temporal or spectral discriminants or to multi-discriminant systems. Loss of SNR resulting from the need to separate signals is derived both for the matched filter case and for eigen decomposition.

Citation Download Citation

Ira J. Clarke and C. A. Speirs "Evaluating super-resolution bounds on the detection of multiple signals", Proc. SPIE 3807, Advanced Signal Processing Algorithms, Architectures, and Implementations IX, (2 November 1999); https://doi.org/10.1117/12.367644

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KEYWORDS

Signal to noise ratio

Signal detection

Signal attenuation

Interference (communication)

Electronic filtering

Super resolution

Filtering (signal processing)

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