Title : 
Simulation of nonlinear systems with sparse input vectors using CRC technique
         
        
            Author : 
Farahani, Shahin ; Darbanian, Nazanin ; Kiaei, Sayfe
         
        
            Author_Institution : 
Dept. of Electr. Eng., Arizona State Univ., Tempe, AZ, USA
         
        
        
        
        
        
            Abstract : 
The cross referenced coordinate (CRC) method is introduced for computationally efficient analysis and simulation of nonlinear systems encountering a class of sparse vectors. In the 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 convolution, have been modified to operate with these equivalent matrices. A non-iterative algorithm is developed to provide the solution to nonlinear dynamic systems. In contrast to existing solutions, convergence of this algorithm is not an issue. A general purpose MATLAB toolbox is presented which is capable of CRC method based simulation of nonlinear systems.
         
        
            Keywords : 
matrix algebra; nonlinear systems; signal processing; MATLAB toolbox; computationally efficient analysis; convolution; cross referenced coordinate method; equivalent matrices; noniterative algorithm; nonlinear dynamic systems; nonlinear systems; signal processing; sparse input vectors; Analytical models; Computational modeling; Convolution; Cyclic redundancy check; Discrete Fourier transforms; Helium; Nonlinear equations; Nonlinear systems; Radio frequency; Sparse matrices;
         
        
        
        
            Conference_Titel : 
Digital Signal Processing Workshop, 2004 and the 3rd IEEE Signal Processing Education Workshop. 2004 IEEE 11th
         
        
            Print_ISBN : 
0-7803-8434-2
         
        
        
            DOI : 
10.1109/DSPWS.2004.1437935