Analysis of lossy multiconductor transmission lines and application of a crosstalk cancelling algorithm

Abstract

The authors showed in a previous work that it is possible to transmit N signals without crosstalk or return loss through a lossless multiconductor transmission line (MTL) of N + 1 conductors. Such algorithm can increase the data rate twice (in the absence of noise), relative to the usual transmission of differential signals. In this work, they analyse lossy MTLs and test the above algorithm on the lossy lines.

Radiation from free space TEM transmission lines

“…from which one may calculate the ABCD matrix of the TL [13,[22][23][24]. We need only the A element from the matrix:…”

Radiation from quasi‐TEM insulated transmission lines

“…from which one may calculate the ABCD matrix of the TL [8], [13], [14], [15]. We need only the A element from the ABCD matrix (which is insensitive to the value of Z port ), as follows:…”

“…(C. 14) where g is the projection factor averaged by the fraction of voltage in the dielectric. Given that 0 ≤ g i ≤ 1, also 0 ≤ g ≤ 1, (C. 15) and hence 1 ≤ ǫ p ≤ ǫ eq = n 2 eq , (C.16) however it seems that g cannot be 0 for a physical system, hence the lower limit should be bigger than 0, so that practically ǫ p > 1 always.…”

“…(C. 14) where g is the projection factor averaged by the fraction of voltage in the dielectric. Given that 0 ≤ g i ≤ 1, also…”

Radiation from transmission lines PART I: free space transmission lines

“…The radiation pattern for the general case of forward and backward waves is D = 4πr 2 S r /P rad , where S r is given in Eq. ( 20) and P rad in (21). To express D independently of the currents, it is convenient to consider a general TL circuit in Figure 5, for which the relation between I + and I − is…”