Random sampling applied to the measurement of a DC signal immersed in noise

Abstract

This paper introduces the use of random sampling for the recovery of dc signals immersed in noise. This technique avoids the use of antialiasing filters even if the disturbance frequencies are higher than the maximum sampling frequency available. The use of random sampling and a moving average (MA) filter for the measurement of dc signals is mathematically and experimentally demonstrated.

High-Frequency Digital Lock-In Amplifier Using Random Sampling

“…In previous works, random-sampling strategies were applied to different types of instruments to avoid aliasing effects when sampling below the Nyquist frequency. In [9], an application of a random-sampling scheme for dc-signal measurement is demonstrated analytically and tested experimentally. However, in [9], the frequency limitation imposed by the random-sampling period quantization is not evaluated.…”

“…In [9], an application of a random-sampling scheme for dc-signal measurement is demonstrated analytically and tested experimentally. However, in [9], the frequency limitation imposed by the random-sampling period quantization is not evaluated. A similar sampling scheme is applied to a digital wattmeter [10] and a harmonic analyzer [11].…”

Acquisition of Low Frequency Signals Immersed in Noise by Chaotic Sampling and FIR filters

“…In the random sampling case previously studied [3], it is it gives the approach speed to the natural invariant density. It is supposed that Tp has a constant PDF over the entire interval called mixing constant rmix of the chaotic map.…”

“…Frequency f is changed to a new A2 value and m = 1000 experiments are run. Results are shown in Figs [2][3][4]. where PFR is shown as a function of f.…”

“…Non uniform sampling has been studied by several authors [1][2][3][4][5][6][7][8]. This procedure is useful for filtering low frequency Let y(t) be a noisy signal to be filtered: signals immersed in high frequency noise, specially when sampling frequency is limited by hardware requirements.…”