## Analysis and optimization of lumped-distributed active RC networks |

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### Contents

DEVELOPMENT OF THE BOUND ALGORITHM | 11 |

REALIZATION OF LUMPED APPROXIMATING NETWORKS | 40 |

GRADIENT VECTOR AND SENSITIVITY | 56 |

2 other sections not shown

### Common terms and phrases

adjoint network admittance matrix algorithm and/or time response Call CORNAP capacitors cards characteristic polynomial circuit elements Columns complex frequency computation of sensitivity compute a bound computer program CORNAP User's coth csch distinct eigenvalue distributed RC line dominant critical frequencies Dpmax eigenvalue of Yp(sQ eigenvalues of YT(s elements of YT(s equation error associated final network frequency and/or frequency response FUGRAD given gradient vector GRADMAX IFREQ input data integrated circuits Kmax LDA RC network lumped and active Lumped Approximating Network lumped network lumped subnetwork lumped-distributed active lumped-distributed network network NL number of critical obtain optimization program original network performance function perturbation perturbation theory pmax pole-residue poles and zeroes rational functions relative error residue approximation resistors shown in Fig slack variable subroutine Substitution synthesis techniques Theorem total capacitance transfer function sensitivity unnormalized sensitivities variable parameters variation of xQ vector and sensitivity voltage weighting function YD(s YD(sQ yDill(s YL(s YL(sQ Yp(s