we introduce a matricial toeplitz transform and prove that the toeplitz transform of a second order recurrence sequence is another second order recurrence sequence. we investigate the injectivity of this transform and show how this distinguishes the fibonacci sequence among other recurrence sequences. we then obtain new fibonacci identities as an application of our transform.

and Applied Analysis 3 2. Preliminaries on Time Scales A time scale T is an arbitrary nonempty closed subset of the real numbers R. The most wellknown examples are T R, T Z, and T q : {qn : n ∈ Z}⋃{0}, where q > 1. The forward and backward jump operators are defined by σ t : inf{s ∈ T : s > t}, ρ t : sup{s ∈ T : s < t}, 2.1 respectively, where inf ∅ : supT and sup ∅ : inf T. A point t ∈ T is sa...

In the context of transform coding of still images, the distribution of high frequency transform coefficients has been approximated by a Laplacian distribution. In this short paper, an efficient way of simulating the rate-distortion behaviour of a memoryless Laplacian source is presented. Simulation results show that the estimated behaviour very closely matches the empirical one.

In the present paper, series solutions and approximate of time–space fractional differential equations are obtained using two different analytical methods. One is homotopy perturbation Sumudu transform method (HPSTM), another variational iteration Laplace (VILTM). It observed that very close to exact solutions. The useful significant analyze many phenomena, have not been reported in previous li...

This paper deals with application of Radar (ISAR) image for the safety applications in Intelligent Transport System (ITS).Comparative performance of conventional Fourier transform and joint time-frequency transform for the formation of Radar image is given here, Matlab(version 10) is used as the simulation platform and finally by comparing images obtained by two techniques ,the work is validated.