Optimization of frequency quantization

TL;DR

This paper derives the optimal sampling frequency for generalized velocities in analog-to-digital conversion, considering signal properties, filter characteristics, and ADC constraints to minimize cost and maximize quality.

Contribution

It introduces a functional framework for determining the optimal sampling frequency based on signal and system parameters, including an example with a two-tier ADC.

Findings

Optimal sampling frequency depends on cutoff frequency, filter properties, and ADC rate.

Derived a functional for price and quality of sample readings.

Provided an example calculation for a two-tier ADC system.

Abstract

We obtain the functional defining the price and quality of sample readings of the generalized velocities. It is shown that the optimal sampling frequency, in the sense of minimizing the functional quality and price depends on the sampling of the upper cutoff frequency of the analog signal of the order of the generalized velocities measured by the generalized coordinates, the frequency properties of the analog input filter and a maximum sampling rate for analog-digital converter (ADC). An example of calculating the frequency quantization for two-tier ADC with an input RC filter.