TY - GEN
T1 - On the study of dispersive transmission lines with nonlinear termination networks
AU - Wang, G.
AU - Gilbert, B.
PY - 1992/1/1
Y1 - 1992/1/1
N2 - Based upon an algorithm described in a separate paper [9], multiple transmission lines with skin effect losses and dispersive characteristics were analyzed by the potential theory method, and the scattering matrix [S(ω)] and characteristic impedance matrix [Zo(ω)] of the transmission lines were obtained. The [S(ω)] and [Zo(ω)] were then transformed by the inverse FFT into the time domain. The scattering matrix representation is multiplicative in nature, which leads to the time domain formulation as a set of convolution integrals. Instead of attempting to solve a set of coupled convolution integral equations by the multivariate Newton-Raphson method, which may occasionally be unstable, we generated a set of object functions and applied a multivariable optimization technique to attain the solutions. The new method, which is quite general, reduces to the special cases derived in many previous publications.
AB - Based upon an algorithm described in a separate paper [9], multiple transmission lines with skin effect losses and dispersive characteristics were analyzed by the potential theory method, and the scattering matrix [S(ω)] and characteristic impedance matrix [Zo(ω)] of the transmission lines were obtained. The [S(ω)] and [Zo(ω)] were then transformed by the inverse FFT into the time domain. The scattering matrix representation is multiplicative in nature, which leads to the time domain formulation as a set of convolution integrals. Instead of attempting to solve a set of coupled convolution integral equations by the multivariate Newton-Raphson method, which may occasionally be unstable, we generated a set of object functions and applied a multivariable optimization technique to attain the solutions. The new method, which is quite general, reduces to the special cases derived in many previous publications.
UR - http://www.scopus.com/inward/record.url?scp=85068267025&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=85068267025&partnerID=8YFLogxK
U2 - 10.1109/EPEP.1992.572297
DO - 10.1109/EPEP.1992.572297
M3 - Conference contribution
T3 - Electrical Performance of Electronic Packaging, EPEP 1992
SP - 175
EP - 177
BT - Electrical Performance of Electronic Packaging, EPEP 1992
PB - Institute of Electrical and Electronics Engineers Inc.
T2 - 1992 Electrical Performance of Electronic Packaging, EPEP 1992
Y2 - 22 April 1992 through 24 April 1992
ER -