Rejection Properties of Stochastic-Resonance-Based Detectors of Weak Harmonic Signals

TL;DR

This paper analyzes the rejection capabilities of stochastic-resonance-based detectors for weak harmonic signals in noisy environments, especially when interfering signals are present, by evaluating false-alarm and false-dismissal probabilities.

Contribution

It extends previous work by examining the detectors' ability to reject nearby interfering signals under realistic conditions.

Findings

Rejection performance varies with interfering signal strength.

Spectral separation influences false-alarm and false-dismissal rates.

Stochastic-resonance detectors can effectively reject nearby signals under certain conditions.

Abstract

In (V. Galdi et al., Phys. Rev. E57, 6470, 1998) a thorough characterization in terms of receiver operating characteristics (ROCs) of stochastic-resonance (SR) detectors of weak harmonic signals of known frequency in additive gaussian noise was given. It was shown that strobed sign-counting based strategies can be used to achieve a nice trade-off between performance and cost, by comparison with non-coherent correlators. Here we discuss the more realistic case where besides the sought signal (whose frequency is assumed known) further unwanted spectrally nearby signals with comparable amplitude are present. Rejection properties are discussed in terms of suitably defined false-alarm and false-dismissal probabilities for various values of interfering signal(s) strength and spectral separation.