"JOURNAL OF RADIO ELECTRONICS" (Zhurnal Radioelektroniki ISSN 1684-1719, N 11, 2017

contents             full textpdf   

Compression Algorithm for Polyphase Coherent Complemented Signals

R. N. Ipanov

Federal Government Institution Scientific production association "Special Equipment and Telecoms" of the Ministry of Internal Affairs of Russian Federation, Prud Kluchiki str. 2, Moscow 111024, Russia


The paper is received on October 6, 2017


Abstract. A compression algorithm for polyphase radar signals that have an area of zero sidelobes in the vicinity of the central peak of the aperiodic autocorrelation function has been considered. These signals, which are called polyphase (p-phase, where p is a prime number) coherent complemented signals, are a burst of p coherent phase-code-manipulated pulses coded by an ensemble of p-pair D-codes. 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 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. The polyphase phase-code-manipulated probing signals permit significantly enhancing the secrecy of the radiolocation stations’ operation.

The device for compression of the polyphase coherent complemented signals consists of an input register with N cells, a discrete transform processor called a discrete D-transformation processor, with N inputs and N outputs, (p-1) identical shift registers with QN cells and (p-1) identical adders of complex numbers, where N is the length of the D-code and Q is the parameter inverse to the duty ratio. It is shown that the matrix of complementary sequences is the product of the matrix of Vilenkin–Chrestenson functions and a diagonal one with elements from the first row of the matrix of complementary sequences. Thus, the algorithm of the discrete D-transformation processor’s operation is an algorithm of fast Fourier transform in the basis of the Vilenkin–Chrestenson functions with addition of weighing coefficients at the processor’s input, which are the first row of the matrix of complementary sequences. The reports of the discrete D-transform spectrum for computing the autocorrelation function are taken from the processor’s outputs in conformity with arrangement of one of the N/p ensembles of the p-pair complementary sequences. Thus, we can obtain N/p various autocorrelation functions.

The considered compression algorithm for the polyphase coherent complemented signals makes it possible to achieve effective real-time solutions of the problems of discerning and measuring the coordinates of grouped targets of the radar that have close radial velocities.

Keywords: burst of pulses, polyphase signal, complementary sequence, autocorrelation function, sidelobes, detection threshold, radial velocity, matched filter, system of Vilenkin–Chrestenson functions, fast Fourier transform, signal graph, weighing coefficient.


1.            Ipanov R.N. Polyphase coherent complemented signals. Zhurnal Radioelektroniki - Journal of Radio Electronics, 2017, No. 1. Available at http://jre.cplire.ru/jre/jan17/14/text.pdf (In Russian).

2.            Trahtman A.M., Trahtman V.A. Osnovy teorii diskretnyh signalov na konechnyh intervalah. [Undamentals of the theory of discrete signals on finite intervals]. Moscow, Sov. Radio Publ, 1975, 208 p. (In Russian).

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


For citation:

R. N. Ipanov. Compression algorithm for polyphase coherent complemented signals. Zhurnal Radioelektroniki - Journal of Radio Electronics, 2017, No. 11. Available at http://jre.cplire.ru/jre/nov17/5/text.pdf. (In Russian)