## On the realizability and channel capacity of passive two-portsThe LLFPB two-port network is considered as a communication channel and an integral relation, for its communication capacity is derived. The noise mechanism is assumed to be that due to the Nyquist relation for pertinent real parts, and the channel capacity is given by an interpretation of Shannon's upper bound. It is shown that an ideal signal spectrum is uniquely associated with a given network, this spectrum being a function of the network parameters and the available signal power. It follows that the channel width W of Shannon's upper bound is not a unique number for an LLFPB two-port, but rather, is a function of the signal power S and the noise power N. (Author). |

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### Contents

FORMULATION OF THE ANALYSIS | 3 |

ANALYSIS OF THE INPUT CHANNEL | 10 |

ANALYSIS OF THE OUTPUT CHANNEL | 14 |

4 other sections not shown

### Common terms and phrases

2TW-dimensional space amount of information analysis analytic continuation analytic function apply approximate assumption available power available signal power binary channel capacity completely predictable constant CORNELL UNIVERSITY LIBRARY CQut is zero defined derivation determine digits evaluate exists fixed available signal follows formula given network hence heuristic impulse incremental band infinite delay infinity information gained information transfer input channel integrand interval inverse problem line spectrum LLFPB network LLFPB two-port load log(l logarithm low-pass mation gain maximizes noise mechanism number less Nyquist relation observation optimum Output Channel P(jcu P(jju P(ju P(juj P(juo possible quencies R C)s radians rational resistance resistor result reverse power transfer Sampling Theorem seen Shannon Shannon's upper bound shown in Figure signal spectrum spectral window square channel statement stationary values substitution time-limited signal containing transfer function transfer ratio tuned circuit unique solution value of Cout variational problem width Wolter yields