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In a recent paper, it has been shown that, if an N‐port network fulfills the condition of (geometrical) unconditional stability at a given frequency, then its scattering parameters will also necessarily satisfy N easily computable bounds, one per port. In order to complete that picture, this contribution investigates whether a tighter bound can be obtained by combining the N$$ N $$ bounds into just one. The answer is in general negative, except that the 3‐port case does indeed exhibit a peculiar behavior: this can be exploited to reduce the upper bound when the diagonal elements of the scattering matrix are limited in magnitude up to some α$$ \alpha $$, and in particular for α=0$$ \alpha =0 $$ (simultaneous conjugate match). [ABSTRACT FROM AUTHOR]

This paper deals with the description of general linear passive circuit features by using convolution equations. For this purpose, the variables of linear networks are transformed to the logarithmic scale, which is widely used in the case of frequency variable. On the other hand, it is an unconventional method for complex frequency and time variables. The introduced relations are suitable for complex calculations in a direct and simple way. Copyright © 2013 John Wiley & Sons, Ltd. [ABSTRACT FROM AUTHOR]