模拟基于小波变换的抛物线型方程的解(IJITCS-V4-N12-1).pdf

I.J. Information Technology and Computer Science, 2012, 12, 1-20 Published Online November 2012 in MECS (/) DOI: 10.5815/ijitcs.2012. 12.01 Analogue Wavelet Transform Based the Solution of the Parabolic Equation Jean-Bosco Mugiraneza Department of Computer Science, Faculty of Science and Technology, Kigali Independent University, ULK, P. O. Box 2280 Kigali, Rwanda mjbosco8@ Amritasu Sinha Department of Mathematics, ETB, McMaster University, Canada sinhaam@univmail.cis.mcmaster.ca Abstract — In this paper we have proved that the filters to be constructed for stationary and non- solution of parabolic equation and its Fast Fourier stationary signals [2], [3]. One of the main advantages Transform generate continuous wavelet transforms. of wavelets is that they offer a simultaneous localization Indeed, we have solved the parabolic equation using in time and frequency domain whereas the standard PDETool, exported its solution and coefficients to Fourier transform is only localized in Frequency Matlab workspace. We have then imported the solution domain. Wavelets have the great advantage of being from workspace to signal processing tool. We have able to separate the fine details in a signal. Very small sampled the imported solution with the sampling wavelets can be used to isolate very fine details in a freq