TY - GEN
T1 - Simulation of nonlinear systems with sparse input vectors using CRC technique
AU - Farahani, Shahin
AU - Darbanian, Nazanin
AU - Kiaei, Sayfe
PY - 2004
Y1 - 2004
N2 - 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.
AB - 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.
UR - https://www.scopus.com/pages/publications/17044422176
UR - https://www.scopus.com/pages/publications/17044422176#tab=citedBy
M3 - Conference contribution
SN - 0780384342
SN - 9780780384347
T3 - 2004 IEEE 11th Digital Signal Processing Workshop and 2nd IEEE Signal Processing Education Workshop
SP - 168
EP - 172
BT - 2004 IEEE 11th Digital Signal Processing Workshop and 2nd IEEE Signal Processing Education Workshop
T2 - 2004 IEEE 11th Digital Signal Processing Workshop and 2nd IEEE Signal Processing Education Workshop
Y2 - 1 August 2004 through 4 August 2004
ER -