Generation of Noise Time Series with arbitrary Power Spectrum

TL;DR

This paper introduces a straightforward computational method for generating noise time series with a specified power spectrum, aiding in signal analysis and system performance prediction.

Contribution

The paper presents a novel, simple technique for generating noise samples with arbitrary power spectra, addressing challenges in noise simulation without requiring a detailed noise source model.

Findings

Method successfully generates noise with desired spectral properties

Applicable to various signal analysis scenarios

Facilitates system performance forecasting in experiments

Abstract

Noise simulation is a very powerful tool in signal analysis helping to foresee the system performance in real experimental situations. Time series generation is however a hard challenge when a robust model of the noise sources is missing. We present here a simple computational technique which allows the generation of noise samples of fixed length, given a desired power spectrum. A few applications of the method are also discussed.