Fluctuations of correlation estimations in digital communications on the base of noise random signals with time Window

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Abstract

A statistical analysis of correlation fluctuations during information transmission using spectrum spreading based on continuous noise signals with spectral modulation was carried out. Discrete information is introduced as a result of the interference of the reference noise signal and the delayed noise signal, which is modulated by binary symbols of opposite sign. A numerical calculation of correlation and spectral characteristics during information transmission in a channel with additive Gaussian white noise was carried out. An asymptotic limitation has been discovered for the deviation of correlation fluctuations due to intra-system interference. The possibility of reducing fluctuations of the correlation effect when transmitting information based on continuous noise signals with time windows is shown.

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About the authors

V. I. Kalinin

Frayzino branch Kotel’nikov Institute of Radio-engineering and Electronics of RAS

Author for correspondence.
Email: val.kalinin@mail.ru
Russian Federation, Fryazino Moscow region, 141190

O. A. Byshevski-Konopko

Frayzino branch Kotel’nikov Institute of Radio-engineering and Electronics of RAS

Email: val.kalinin@mail.ru
Russian Federation, Fryazino Moscow region, 141190

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Supplementary files

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2. Fig. 1. Functional diagrams of the transmitter (a) and receiver (b) in the information transmission system with opposite noise signals: 1 – noise signal source; 2 – bandpass filter; 3, 4 – delay; 5 – integrator; 6 – threshold device.

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3. Fig. 2. Time realization of the total noise signal in the communication line during transmission of opposite information bits.

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4. Fig. 3. Shift of the interference pattern in the spectrum when transmitting positive “+1” (a) and negative “–1” (b) symbols.

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5. Fig. 4. Impulse response of an ideal filter (a) and a bandpass filter with a finite impulse response (b); m is the sample number.

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6. Fig. 5. Fluctuations of correlation estimates (thick lines) relative to the true values ​​in the bit stream bₗ = ±1 in the absence (a) and under the influence (b) of external interference q = 1; l is the bit number.

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7. Fig. 6. Deviation of fluctuations of the correlation effect depending on the signal-to-noise ratio q in the channel with different bases B for signals with a rectangular spectrum (curves with triangles) and signals with a time window (curves with circles): B = 50 (1), 100 (2), 500 (3), 1000 (4).

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