Using Kravchenko Weight Functions to Improve Noise Tolerance of OFDM Signal Reception in the Presence of Spectrum-Concen
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RY AND METHODS OF SIGNAL PROCESSING
Using Kravchenko Weight Functions to Improve Noise Tolerance of OFDM Signal Reception in the Presence of Spectrum-Concentrated Interference A. S. Zudilina, V. F. Kravchenkob, L. E. Nazarova, *, and V. I. Pustovoitc aKotelnikov
Institute of Radioengineering and Electronics, Fryazino Branch, Russian Academy of Sciences, Fryazino, Moscow oblast, 141190 Russia b Kotelnikov Institute of Radioengineering and Electronics, Russian Academy of Sciences, Moscow, 125009 Russia cScientific and Technological Center of Unique Instrumentation, Russian Academy of Sciences, Moscow, 117342 Russia *e-mail: [email protected] Received January 27, 2020; revised January 27, 2020; accepted May 17, 2020
Abstract—In this paper, we describe some algorithms for generating and receiving structures based on orthogonal frequency division multiplexing (OFDM) signals that are robust to spectrum-concentrated interference. The algorithm for receiving these signal structures in the presence of spectrum-concentrated interference is based on weight functions. We also present the results of investigating Kravchenko weight functions based on atomic functions to improve the noise tolerance of signal structures in the presence of spectrum-concentrated interference, as well as the results of simulating a developed reception algorithm. DOI: 10.1134/S1064226920110212
INTRODUCTION In the theory of digital signal processing, weight functions are widely employed to solve a number of problems associated with signal resolution, reduction of interchannel interference, and noise resistance of information transmission through channels with spectrum-concentrated interference [1]. Finding constructive solutions to the latter problem constitutes an independent research direction in statistical communication theory in the framework of which procedures for signal processing in the process of reception are developed [2, 3]. Methods for reducing the effect of spectrum-concentrated interference are based on increasing the base of signals and compensating for the interference by using weight functions [2]. In [4–6], structures based on orthogonal frequency division multiplexing (OFDM) signals were described. The algorithms developed for their reception implement this direction. The efficiency of reducing the effect of spectrum-concentrated interference depends on the weight functions used [5]. Problems of finding criteria for the optimality of these functions and their selection in practice, which determine the maximum noise resistance of information transmission when using the signal structures mentioned above, as well as problems of noise immunity analysis during their reception in the presence of
spectrum-concentrated interference, are of particular interest. 1. PROBLEM STATEMENT OFDM signals s(t ) represent the sum of N partial harmonic signals on definition interval T ; they are given by the following relation [3, 7]:
s(t ) = 1 N
N −1
α
m =0
mexp( j 2πf mt ).
(1)
Here, fm = m T are the frequencies that determine the stro
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