TY - JOUR
T1 - Theory of the stochastic resonance effect in signal detection
T2 - Part I - Fixed detectors
AU - Chen, Hao
AU - Varshney, Pramod K.
AU - Kay, Steven M.
AU - Michels, James H.
PY - 2007/7
Y1 - 2007/7
N2 - This paper develops the mathematical framework to analyze the stochastic resonance (SR) effect in binary hypothesis testing problems. The mechanism for SR noise enhanced signal detection is explored. The detection performance of a noise modified detector is derived in terms of the probability of detection PD and the probability of false alarm PFA. Furthermore, sufficient conditions are established to determine the improvability of a fixed detector using SR. The form of the optimal noise pdf is determined and the optimal stochastic resonance noise pdf which renders the maximum PD without increasing PFA is derived. Finally, an illustrative example is presented where performance comparisons are made between detectors where the optimal stochastic resonance noise, as well as Gaussian, uniform, and optimal symmetric noises are applied to enhance detection performance.
AB - This paper develops the mathematical framework to analyze the stochastic resonance (SR) effect in binary hypothesis testing problems. The mechanism for SR noise enhanced signal detection is explored. The detection performance of a noise modified detector is derived in terms of the probability of detection PD and the probability of false alarm PFA. Furthermore, sufficient conditions are established to determine the improvability of a fixed detector using SR. The form of the optimal noise pdf is determined and the optimal stochastic resonance noise pdf which renders the maximum PD without increasing PFA is derived. Finally, an illustrative example is presented where performance comparisons are made between detectors where the optimal stochastic resonance noise, as well as Gaussian, uniform, and optimal symmetric noises are applied to enhance detection performance.
KW - Hypothesis testing
KW - Non-Gaussian noise
KW - Nonlinear systems
KW - Signal detection
KW - Stochastic resonance (SR)
UR - http://www.scopus.com/inward/record.url?scp=34347394138&partnerID=8YFLogxK
U2 - 10.1109/TSP.2007.893757
DO - 10.1109/TSP.2007.893757
M3 - Article
AN - SCOPUS:34347394138
SN - 1053-587X
VL - 55
SP - 3172
EP - 3184
JO - IEEE Transactions on Signal Processing
JF - IEEE Transactions on Signal Processing
IS - 7 I
ER -