The matching filtration of noisy discrete quaternion signals
Y.
A. Furman, I.
L. Egoshina, R.
V. Eruslanov
Mari-El State Technical University, Yoshkar-Ola
Received
March 12, 2012
Abstract. The
main analytical relationships of matched filtration of discrete quaternion
signals are obtained. The spectral component decomposition effect for filtered
signal is disclosed. The mechanism of output signal forming at matched and
non-matched filtration of these signals is investigated. The example of group
point object images discriminating from matched filtration results of discrete
quaternion signals are shown.
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.