NECESSARY AND SUFFICIENT CONDITIONS FOR THE WAVE PACKET FRAMES ON POSITIVE HALF-LINE

ABDULLAH

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Abstract

In this paper, we consider wave packet systems as special cases of generalized shift-invariant systems, a concept studied by Hernandez, Lebate and Weiss. The objective of the paper is to construct wave packet frames on positive half line. We establish necessary and sufficient conditions for the wave packet frames on positive half-line using Walsh-Fourier transform.

Keywords

frame, wave packet system, sufficient condition and necessary condition.