"JOURNAL OF RADIO ELECTRONICS" (Zhurnal Radioelektroniki ISSN 1684-1719, N 1, 2017

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Polyphase coherent complemented signals


R. N. Ipanov

Federal government institution scientific and production association special equipment and telecoms of the Ministry of the internal affairs of the Russian Federation, Prud Kluchiki str. 2, Moscow 111024, Russia


The paper is received on January 16, 2017, after correction - on January 23, 2017


Abstract. Polyphase (p-phase, where p is a prime number) radiolocation signals that have an area of zero sidelobes in the vicinity of the central peak of the autocorrelation function have been considered. These signals, which are called polyphase coherent complemented signals, are a burst of p coherent phase-code-manipulated pulses coded by p-phase complementary sequences. To synthesize these signals, a recurrent rule of forming the p-phase complementary sequences has been presented, as well as an algorithm of forming the entire set of the p-phase complementary sequences †long, , †is the set of the natural numbers, by using the notion of p-ary D-codes of the k order.

The zero sidelobe area of the autocorrelation function of the polyphase coherent complemented signals permits reducing the threshold of detection of radar targets to the noise level, thus increasing the detection probability. Also, by virtue of the relatively large base these signals have high compression coefficients, which makes it possible to solve the problem of discerning targets that are closely located in space to each other and have close radial velocities as well as measuring their coordinates with high precision.

Also, the polyphase coherent complemented signals permit significantly enhancing the secrecy of the radiolocation stationís radiation. They can be formed by a wide range of p-ary D-codes, are notable for their little spectral density and the low-level sidelobes of the autocorrelation function. If the elements for the p-ary D-codes are selected optimally, a lower level of the autocorrelation function sidelobes can be obtained than for binary codes of a similar duration.

Keywords: polyphase signal, burst of pulses, complementary sequence, autocorrelation function, sidelobes, detection threshold, Doppler frequency.


1.            Ipanov R.N. Coherent additional signals and their application in radiolocation. Zhurnal Radioelektroniki - Journal of Radio Electronics, 2015, No. 2. Available at http://jre.cplire.ru/jre/feb15/8/text.pdf. (In Russian).

2.            Varakin L.E. Teoriya slozhnyh signalov. [The theory of complex signals]. Moscow, Sov. Radio Publ, 1970, 376 p. (In Russian).

3.            Velti. Quaternary codes for pulsed radar. Zarubezhnaya radiotehnika - Foreign radiotechnics, 1961, No. 4, pp. 3-19. (In Russian).

4.            Ipanov R.N. Compression algorithm of coherent additional signals. Zhurnal Radioelektroniki - Journal of Radio Electronics, 2016, No. 9. Available at http://jre.cplire.ru/jre/sep16/9/text.pdf. (In Russian).


Reference to this paper:

Polyphase coherent complemented signals. A.V. Kokoshkin, V.A. Korotkov, K.V. Korotkov, E.P. Novichihin. Zhurnal Radioelektroniki - Journal of Radio Electronics, 2017, No. 1. Available at http://jre.cplire.ru/jre/jan17/14/text.pdf. (In Russian)