MATCHED FILTER DESIGN METHOD FOR WHITE NOISE AND NON-GAUSSIAN NOISE CONDITIONS
Authors:
1.
Sevastopol State University
(Institute of Radio Electronics and Information Security, Associate professor)
Sevastopol, Sevastopol, Russian Federation
Sevastopol, Sevastopol, Russian Federation
2.
Sevastopol State University
Sevastopol, Sevastopol, Russian Federation
Sevastopol, Sevastopol, Russian Federation
Type:
Article
Pages:
from 253
to 259
Status:
Published
Received:
20.06.2022
Accepted:
20.06.2022
Published:
28.06.2022
Subject area:
UDK 621.391 Работы общего и обзорного характера. Общая теория связи. Кибернетика (теория информации и теория сигналов применительно к электросвязи)
Language:
Russian
Keywords:
signal-to-noise ratio, matched filter, correlation function, white Gaussian noise, non-Gaussian interference, integral transform
Abstract (English):
A method for synthesizing a matched filter for conditions of simultaneous action of white noise and non-Gaussian noise is proposed. The method is based on the representation of the matched filter as a linear system that implements an integral transformation with a real kernel. Noise, non-Gaussian noise and signal are considered to be frequency limited. The signal-to-noise ratio at the reference point in time is determined. The expansion of the correlation function of the interference and the signal into a series of count functions and the resulting signal-to-noise ratio give an equation that allows one to determine the signals that maximize the signal-to-noise ratio.
A method for synthesizing a matched filter for conditions of simultaneous action of white noise and non-Gaussian noise is proposed. The method is based on the representation of the matched filter as a linear system that implements an integral transformation with a real kernel. Noise, non-Gaussian noise and signal are considered to be frequency limited. The signal-to-noise ratio at the reference point in time is determined. The expansion of the correlation function of the interference and the signal into a series of count functions and the resulting signal-to-noise ratio give an equation that allows one to determine the signals that maximize the signal-to-noise ratio.
Keywords:
signal-to-noise ratio, matched filter, correlation function, white Gaussian noise, non-Gaussian interference, integral transform
signal-to-noise ratio, matched filter, correlation function, white Gaussian noise, non-Gaussian interference, integral transform
1. I. S. Gonorovsky, Radio engineering circuits and signals, Moscow: Drofa, 2006. (In Russ.).
