"JOURNAL OF RADIO ELECTRONICS" (Zhurnal Radioelektroniki ISSN 1684-1719, N 4, 2019

contents of issue      DOI  10.30898/1684-1719.2019.4.10     full text in Russian (pdf)  

UDC 621.391, 621.396

Correlation estimation for digital communications using transmitted reference technique with wideband random noise waveforms


V. I. Kalinin

Fryasino branch of Kotelnikov Institute of Radioengineering and Electronics of Russian Academy of Sciences, Vvedensky Sq., 1, Fryazino, Moscow region, 141190 Russia


 The paper is received on April 11, 2019


Abstract. Ultra wideband (UWB) noise communication system using spread spectrum technique is proposed for a covert data transmission through additive white Gaussian noise (AGWN) channel. Wireless communication systems apply the transmitted reference (TR) techniques for a covert data transmission on the base of UWB noise waveforms. Coherent noise reference, required for optimal signal processing in correlation receiver, is transmitted through wireless channel simultaneously with informative noise waveforms modulated by data symbols. Proposed communication system, using the time diversity of the noise reference, accomplishes the relative time delay of informative noise carriers at different time intervals T1 or T0. Noise signals with the time delay T1 are modulated by antipodal informative symbols bl=±1 according to data stream. Noise signals delayed at the time Ò0 are modulated by conjugate binary symbols bl-=-+1. The spectral interference in result of the linear superposition is occurred between the noise reference and delayed informative noise signals in TR transmitter. Spectral power density of result noise signals is modulated by three harmonic functions with the periods in inverse proportion to relative time delays: T1; T0; (T1 - T0). The time convolution of received continuous noise waveforms during every informative symbol is produced using the two-channel correlation receiver.  The time delay in each receiver correlation channel corresponds to the diversity time delay T1 or T0 of informative noise signals. The correlation estimation problem arises when data transmitting is produced utilizing continuous noise waveforms.  The potentially performances of communication systems normally degrade, if the energy of informative noise carriers randomly varies in the digital data stream. Correlation estimations are statistical evaluated for data transmission throw AGWN channel. Intersystem jamming is excited at the output of two channel correlation receiver even if message data are transmitted over a wireless channel without thermal noise. This paper proposes the method of intersystem jamming reduction when the necessary requirements are satisfied, namely informative time delays (T1, T0), its difference (T1 - T0) and next expressions (T1 - 2T0); (T0 - 2T1) significantly exceed the coherent interval of UWB noise carriers. Exclusion principles to utilize closely spaced and two multiple informative time delays in the process of the spectrum modulation are considered.

Key words: wireless noise communications, spread spectrum, statistic evaluation, spectrum modulation, correlation signal processing, signal delay.


1.     Yu. V Gulyaev, R.V. Belyaev, V.V. Kolesov, Kislov V.Ya. Dynamic-Chaos Information Technologies for Data Transmission, Storage, and Protection: Review. Journal of Communications Technology and Electronics, 2003, Vol. 48, No. 10, pp. 1063-1086. DOI: 10.17725/rensit.2018.10.279

2.     K. Feher. Wireless Digital Communications: Modulation and Spread Spectrum Applications. Upper Saddle River, NJ: Prentice Hall, 1995.

3.     Meyr H., Moeneclaey M, Fechtel S.A. Digital Communication Receivers: Synchronization, Channel Estimation and Signal Processing. Wiley Interscience Publication: New York, 1998.

4.    Nazarov L.E., Batanov V.V. Probabilistic characteristics of detection of radio pulses during propagation along the ionospheric lines of satellite communications systems. Journal of Communications Technology and Electronics. 2017. Vol. 62. No. 9. pp. 960-968. DOI: 10.7868/S0033849417090169

5.     L. E. Nazarov, P. V. Shishkin, V. V. Batanov.  Algorithms for Noncoherent Iterative Reception of Signals Based on Serial Turbo Codes  and Walsh Signals during Transmission over Nonstationary Channels. Journal of Communications Technology and Electronics, 2016, Vol. 61, No. 4, pp. 423-429.

        DOI: 10.7868/S0033849416040082

6.     R.M. Narayanan, J. Chuang. Covert communications using heterodyne correlation random noise signals. Electronics Letters, 2007, Vol.43,No. 22, pp.1211-1212.

7.     V. I. Kalinin, V. V. Chapurskii, Data Transmission on the Basis of Noise Signals with Spectral Modulation.  Journal of Communications Technology and Electronics, 2015, Vol. 60, No. 10, pp. 1072-1082.

        DOI: 10.7868/S0033849415100046

8.     L.V. Kuzmin, A.V. Grinevich, M.D. Ushakov. Experimental Investigation of Multipath Propagation of Chaotic Impulses over Wireless Channel,  Technical Physics Letters, 2018, Vol. 44, No. 16, pp. 48-56

DOI: 10.21883/PJTF.2018.16.46476.17392

9.     K. N. Leonov, A. A. Potapov, and P. A. Ushakov.  Application of Invariant Properties of Chaotic Signals in the Synthesis of Noise-Immune Broadband Systems for Data Transmission. Journal of Communications Technology and Electronics, 2014, Vol. 59, No. 12, pp. 1209-1229.

DOI: 10.7868/S0033849414120110

10.   G. Kolumban, M.P.Kennedy, and L.O. Chua. The role of synchronization in digital communications using chaos-Part III: Performance bounds for correlation receivers. IEEE Trans. Circuits Syst. I, 2000, Vol. 47, No. 12, pp.1673-1683.

11.   V.I. Kalinin, Wireless Communications Based on the Spectral Interference of Ultrawideband Noise Random Signals. Technical Physics Letters, 2018, Vol. 44, No. 12, pp. 1139–1141.  DOI: 10.21883/PJTF.2018.24.47029.17301

12.   V.I. Kalinin, D.E. Radchenko, V.A. Cherepenin, Noise Performance of Digital Communication System Based on Continuously Noise Signals with Spectrum Modulation. Radiotekhnika – Radio Egineering, 2015, No.8, pp.84-94. (In Russian)

13.   Dmitriev A. S., Mokhseni T. I., Sierra-Teran C. M. Differentially coherent information transmission based on chaotic radio pulses. Izvestiya VUZ, Applied Nonlinear Dynamics, 2018, Vol. 26, No.  4, pp. 59-74. 

DOI: 10.18500/0869-6632-2018-26-4-59-74 Available at http://andjournal.sgu.ru/en/articles/differentially-coherent-information-transmission-based-on-chaotic-radio-pulses

14.   V. I. Kalinin. Noise Communication System Based on the Interference of Delayed Information Signals. Zhurnal Radioelektroniki - Journal of Radio Electronics, 2017, No. 4,

Available at http:// http://jre.cplire.ru/jre/apr17/1/text.pdf  (In Russian)

15.   V. I. Kalinin. Statistical Analysis of Noise Communication System Using Two-Channel Correlation Receiver. Zhurnal Radioelektroniki - Journal of Radio Electronics, 2018, No. 9, DOI 10.30898/1684-1719.2018.9.5  Available at

Available at http://jre.cplire.ru/jre/sep18/5/text.pdf (In Russian).

16.   R.P. Bystrov, V.E. Kuzmichev. Noise RLS with Edge Filters in the Processing Device of Signals.  Uspekhi sovremennoy radioelektroniki - Achievements of Modern Radioelectronics, 2015, No. 8, pp. 47-54. (In Russian)

17.   V.I. Kalinin. Ultra-Wideband Data Transmission with Double Spectral Processing of Noise Signals. Technical Physics Letters, 2005, Vol. 31, No. 11, pp. 929-931. DOI 10.1134/1.2136955

18.   M. E. Ilchenko, V. I. Kalinin, T. N. Narytnik, R. M. Didkovski. Potential Performance of the Communication Systems Using Autocorrelation Reception of Shift-Keyed Noise Signals. Telecommunications and Radio Engineering, 2014, Vol. 73, No. 11, pp. 955-976.

19.   V. I. Kalinin, V. V. Chapursky. Noise Systems of Data Transmission with Pseudoquadrature Signal’s Processing. Uspekhi sovremennoy radioelektroniki - Achievements of Modern Radioelectronics, 2017, No. 6, pp. 15- (In Russian)

20.   V.I. Kalinin, D.E. Radchenko, V.A. Cherepenin. Jamming Reduction of Spread Spectrum Noise Communication System on the Basis of Spectrum  Modulation. Elektromagnitnye volny i elektronnye sistemy -  Electromagnetic Waves and Electronic Systems, 2016, Vol. 21, No. 3, pp. 40-48. (In Russian)

21.  Khalighi M.A., Uysal M. Survey on Free Space Optical Communication:   A Communication Theory Perspective. IEEE Commun. Surveys Tutorials, 2014, 16, 2231-2258. DOI: 10.1109/COMST.2014.2329501

22.   Julius S. Bendat, Allan G. Piersol., Engineering Applications of Correlation and Spectral Analysis. Wiley Interscience Publication, New York, 1980. 


For citation:

V. I. Kalinin. Correlation estimation for digital communications using transmitted reference technique with wideband random noise waveforms.   Zhurnal Radioelektroniki - Journal of Radio Electronics. 2019. No. 4. Available at http://jre.cplire.ru/jre/apr19/10/text.pdf

DOI  10.30898/1684-1719.2019.4.10