TY - GEN
T1 - Equalization of volterra systems using a multilinear SVD based pseudo pth order inverse
AU - Seagraves, Ernest
AU - Walcott, Bruce
AU - Feinauer, David
PY - 2007
Y1 - 2007
N2 - Volterra series techniques have been used for some time to model nonlinear systems. The models are well defined, however the number of parameters grows exponentially with the order of the nonlinearity. Techniques exist to compensate a nonlinear system but are often not practical to implement. One approach to this problem is to factor the Volterra kernels into a sum of simple terms that are easy to implement. There are several approaches published in the literature for second order nonlinearities. This work proposes using a multilinear extension of the SVD to factor third and higher order kernels into terms that are easily implemented. Also proposed here is an extension of the pseudo-inverse concept that utilizes the multilinear factorization and compensates for the most significant terms.
AB - Volterra series techniques have been used for some time to model nonlinear systems. The models are well defined, however the number of parameters grows exponentially with the order of the nonlinearity. Techniques exist to compensate a nonlinear system but are often not practical to implement. One approach to this problem is to factor the Volterra kernels into a sum of simple terms that are easy to implement. There are several approaches published in the literature for second order nonlinearities. This work proposes using a multilinear extension of the SVD to factor third and higher order kernels into terms that are easily implemented. Also proposed here is an extension of the pseudo-inverse concept that utilizes the multilinear factorization and compensates for the most significant terms.
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U2 - 10.1109/MWSCAS.2007.4488597
DO - 10.1109/MWSCAS.2007.4488597
M3 - Conference contribution
AN - SCOPUS:51449116796
SN - 1424411769
SN - 9781424411764
T3 - Midwest Symposium on Circuits and Systems
SP - 317
EP - 320
BT - 2007 50th Midwest Symposium on Circuits and Systems, MWSCAS - Conference Proceedings
T2 - 2007 50th Midwest Symposium on Circuits and Systems, MWSCAS - Conference
Y2 - 5 August 2007 through 8 August 2007
ER -