Signal Processing Interpolation and Problem Conditioning Educational Workbench

Abstract

This work presents a newer and more complete version of an educational tool to be used in signal processing interpolation-related subjects. Besides the consolidation of acquired theoretical knowledge, the tool allows now its users to apply three error geometry patterns, test minimum or maximum dimension signal reconstruction algorithms and problem conditioning through the analysis of the matrix spectral radius or the condition number: these new features gives the possibility to alter the problem definitions to the desired goal before the reconstruction begins. The time unit that measures the algorithms performance is (nlogn) thus independent from the machine's architecture. A video of the developed tool can be seen in: https://www.dropbox.com/s/t6yiiuy31ramxse/FILME_1.avi.

An interactive approach for illustrating a proof of the sampling theorem using MATHEMATICA

“…In ref. [10], a software tool built using Matlab for the learning of signal processing interpolationrelated subjects, such as decimation oversampling, is presented. In ref.…”