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copyright Robert J. Marks II ECE 5345 Multiple Random Variables: Stochastic Resonance copyright Robert J. Marks II

copyright Robert J. Marks II Stochastic Resonance Stochastic resonance is loosely defined as the phenomena in a detection process wherein the addition of just the right amount and type of noise improves performance. Too little or too much noise result in degraded performance. copyright Robert J. Marks II

copyright Robert J. Marks II Stochastic Resonance Too Little Noise Just Right! Too Much Noise copyright Robert J. Marks II

copyright Robert J. Marks II Stochastic Resonance Dynamic Stochastic resonance Squint Your Eyes Original Image Too Little Noise Just Right! Too Much Noise http://cialab.ee.washington.edu/Presentations/StochasticResonance/home.html copyright Robert J. Marks II

Binary Stochastic Process Stochastic Resonance Binary Stochastic Process Signal Threshold Unit Step Noise copyright Robert J. Marks II

copyright Robert J. Marks II Stochastic Resonance copyright Robert J. Marks II

copyright Robert J. Marks II Stochastic Resonance: The expected value is the signal run through a nonlinearity specified by the CDF of the noise. copyright Robert J. Marks II

copyright Robert J. Marks II Stochastic Resonance in Uniform Noise The normalized histogram for E[Z(t)] is where copyright Robert J. Marks II

copyright Robert J. Marks II Stochastic Resonance in Uniform Noise Correct value of  gives “exact” results! copyright Robert J. Marks II

copyright Robert J. Marks II uniform noise: - to  about 0.5 copyright Robert J. Marks II

copyright Robert J. Marks II Averaging copyright Robert J. Marks II

copyright Robert J. Marks II