**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 station’s 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.

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**
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)