On Spectral Approach to the Synthesis of Shaping Filters

TL;DR

This paper explores spectral methods for designing shaping filters that model random processes with specified rational power spectral densities, emphasizing a transfer function approach for straightforward implementation.

Contribution

It introduces a spectral form-based approach to derive shaping filters directly from the power spectral density without extra calculations.

Findings

Provides relations for implementing shaping filters from spectral form

Simplifies the process of filter synthesis using transfer functions

Enhances understanding of spectral modeling for random processes

Abstract

This paper describes various approaches to modeling a random process with a given rational power spectral density. The main attention is paid to the spectral form of mathematical description, which allows one to obtain a relation for the shaping filter using a transfer function without any additional calculations. The paper provides all necessary relations for the implementation of the shaping filter based on the spectral form of mathematical description.