Conservation of the passband signal amplitude using a filter based on the Fast Fourier Transform algorithm

TL;DR

This paper introduces an FFT-based filtering algorithm that efficiently minimizes amplitude variation in signals, outperforming FIR filters in preserving signal amplitude with potential for broader application and further optimization.

Contribution

The paper presents a novel FFT-based filter algorithm that reduces amplitude loss and is computationally efficient, implemented across multiple programming languages.

Findings

Less amplitude loss compared to FIR filters

Efficient computational implementation

Versatile across programming languages

Abstract

In this work, we propose an algorithm for a filter based on the Fast Fourier Transform (FFT), which, due to its characteristics, allows for an efficient computational implementation, ease of use, and minimizes amplitude variation in the filtered signal. The algorithm was implemented using the programming languages Python, R, and MATLAB. Initial results led to the conclusion that there was less amplitude loss in the filtered signal compared to the FIR filter. Future work may address a more rigorous methodology and comparative assessment of computational cost.