**
2D and 4D vector signals with good correlation properties**

**
Y.
A. Furman, I.
L. Egoshina, R.
V. Eruslanov**

Mari-El State Technical University, Yoshkar-Ola

** **Received
March 12, 2012

**Abstract**.
The discrete modulating sequence for phase-coded probing signal obtaining are
considered. The vectors of these sequences are the elements of unitary space s
and quaternion space .
It is shown that some types of these signals can to have the ideal correlate
properties. Two classes of such signals the components of which are the vectors
which are form the orthogonal basis in and are
described.

**Keywords**:
discrete complex valued signal, discrete quaternion signal, uniform energy spectrum,
ideal correlate properties, unitary vector space, quaternion vector space,
elementary contour, composition contour, phase-coded signal processing, cyclic
matched filtration, "by S-step incremental summing" algorithm.

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