Transfer matrix realization using RC:GIC Networks

A general synthesis procedure for realizing any stable voltage transfer matrix using current-conversion type generalized impedance converter (GIC)s is outlined. Each row of the transfer matrix is realized separately as an M-input, single-output grounded RC:GIC network where M is the number of columns in the transfer matrix. The realization procedure is illustrated by an example. Using this approach, a second-order filter has been obtained capable of realizing simultaneously highpass, band-pass and low-pass transfer functions and using fewer passive components and operational amplifiers than the popular state-variable realizations. The various sensitivities of the second-order realizations are low and comparable to the state-variable realizations. A similar method can be developed for current transfer matrix invoking duality and thus using the voltage-conversion type GICs.