where [i.sub.j] (t) is the switching current of the jth port and [z.sub.qj] (t) is the inverse Laplace transformation of [Z.sub.qj] (s) which represents the impedance between the jth port and the qth port and [z.sub.pp] (t) is the self-impedance
of the qth port and k is the number of the ports.
of the ground wire connected between two grounded towers, called the self-impedance
per span, was noted with [Z.sub.w].
The ports impedance of antenna 1 could be calculated by the self-impedance
and the mutual impedance:
[Z.sub.EE] and [Z.sub.ET] are the self-impedance
matrix in [[OMEGA].sub.E] and the mutual-impedance matrix between [[OMEGA].sub.E] and [[OMEGA].sub.T], respectively.
Therefore, it makes sense to evaluate the self-impedance
of spiral for determining the appropriate spirals to suppress the noise in frequency range of interest.
The inductive sensor transforms the secondary circuit impedance into the reflected impedance [DELTA][Z.sub.I] in the primary circuit, in series with the self-impedance
[Z.sub.I,0] of the unloaded coil:
and coupling to other nets are computed and displayed, so designers are able to pinpoint performance issues in complex designs efficiently and intuitively.
[Z.sub.11] stands for the self-impedance
of the single dipole, while Z12 represents the mutual impedance of the dipole and its image .
The number of columns and raws of the self-impedance
matrix [Z.sub.s] and the mutual impedance matrix [Z.sub.m] is N by N.
That is called the driving point impedance, which consists of self-impedance
, mutual impedance and the ratio of their current distributions.
Here we only evaluate the mutual impedances between the two inductors, while the self-impedances
can be obtained in the similar way.
This impedance matrix defines the mutual and self-impedances
among the ports and can be obtained analytically only for regularly-shaped patches such as rectangular, triangular and circular patches.