Simulation of nonlinear systems with sparse input vectors using CRC technique

Shahin Farahani, Nazanin Darbanian, Sayfe Kiaei

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

In this work, the Cross Referenced Coordinate (CRC) method is introduced for computationally efficient analysis and simulation of nonlinear systems encountering a class of sparse vectors. In CRC technique, the non-zero sections of the vector are used to form a matrix known as the CRC equivalent representation of the sparse vector. The system operators including the convolution has been modified to operate with these equivalent matrices. A non-iterative algorithm is developed to provide the solution to nonlinear dynamic systems. In contrast with existing solutions, convergence of this algorithm is not an issue. A general purpose MATLAB toolbox is presented which is capable of simulation of nonlinear systems based on CRC method.

Original languageEnglish (US)
Title of host publication2004 IEEE 11th Digital Signal Processing Workshop and 2nd IEEE Signal Processing Education Workshop
Pages168-172
Number of pages5
StatePublished - Dec 1 2004
Event2004 IEEE 11th Digital Signal Processing Workshop and 2nd IEEE Signal Processing Education Workshop - Taos Ski Valley, NM, United States
Duration: Aug 1 2004Aug 4 2004

Publication series

Name2004 IEEE 11th Digital Signal Processing Workshop and 2nd IEEE Signal Processing Education Workshop

Other

Other2004 IEEE 11th Digital Signal Processing Workshop and 2nd IEEE Signal Processing Education Workshop
CountryUnited States
CityTaos Ski Valley, NM
Period8/1/048/4/04

ASJC Scopus subject areas

  • Engineering(all)

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  • Cite this

    Farahani, S., Darbanian, N., & Kiaei, S. (2004). Simulation of nonlinear systems with sparse input vectors using CRC technique. In 2004 IEEE 11th Digital Signal Processing Workshop and 2nd IEEE Signal Processing Education Workshop (pp. 168-172). (2004 IEEE 11th Digital Signal Processing Workshop and 2nd IEEE Signal Processing Education Workshop).