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

Abstract

Abstract. In this paper, we consider wave packet systems as special cases of generalized shift-invariant systems, a concept studied by Hern´andez, 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