Performance comparison of truncation and round-off type sinusoid-crossing sampling, and conventional-amplitude sampling in noise-assisted weak signal detection

Abstract

We compare the performance of the three detection techniques, (a) truncation type sinusoid-crossing sampling, (b) round-off type sinusoid-crossing sampling, and (c) conventional amplitude-sampling, in the detection of weak electronic sinusoid signals with the aid of noise. Electronic sinusoid signals with frequencies of 500 Hz, 1kHz, and 4kHz are used with amplitudes equal to 0.002 V, which is below the detection limits of the three detection techniques used. Gaussian white noise is utilized to aid detection. Sampling is done for the three techniques at 23420 Hz. We computed for the signal-to-noise ratios as a function of the noise standard deviation (σ). For the truncation and round-off type, enhanced detection happens at σ ~ 0.0075 V, which verifies the theory. For the conventional sampling, enhanced detection happens at σ ~ 0.3 V.