Stochastic resonance in Schmitt trigger and its application towards weak signal detection

Abstract: This study explores stochastic resonance (SR) in a Schmitt trigger circuit and its application to weak signal detection. SR, a phenomenon where noise synchronizes with weak signals to enhance detectability, was demonstrated using a custom-designed bi-stable Schmitt trigger system. The circuit's bi-stability was validated through hysteresis curve analysis, confirming its suitability for SR studies. Experimental results revealed SR behavior by analyzing signal-to-noise ratio (SNR) responses to noise amplitude variations. Detection experiments were conducted to determine frequency and amplitude of damping sinusoidal pulses. Frequency detection proved effective, albeit with limitations at low frequencies, while amplitude detection faced challenges due to mathematical complexities. Nonetheless, the study highlights SR's potential for weak signal detection, with proposed enhancements to improve detection accuracy. This work underscores the adaptability of classical SR principles to practical detection systems and suggests future applications in advanced detection technologies, including quantum systems.