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Showing papers by "David A. Johns published in 1987"


Journal ArticleDOI
TL;DR: In this article, a new design method to obtain a state-space system which simulates the operation of an LC ladder prototype is introduced, which can be found using simple algebraic manipulations.
Abstract: A new design method to obtain a state-space system which simulates the operation of an LC ladder prototype is introduced. The state-space system is relatively sparse and can be found using simple algebraic manipulations. Through the use of an example, it is shown that the resulting filter maintains the low-sensitivity properties of the ladder prototype.

8 citations


01 Jan 1987
TL;DR: In this article, a new state-space structure for the realization of arbitrary filter transfer functions is presented, called orthonormal ladder filters, which is derived from a singlyterminated LC ladder and has the properties that it is always scaled for optimum dynamic range and its integrator outputs are orthogonal.
Abstract: A new state-space structure for the realization of arbitrary filter transfer-functions is presented. This structure should prove useful where integrators are the basic building blocks such as in transconductance-C, MOSFET-C, or active-RC filters. The structure is derived from a singly-terminated LC ladder and has the properties that it is always scaled for optimum dynamic range and its integrator outputs are orthogonal. For this reason, the resulting realizations are called “orthonormal ladder filters”. Since dynamic range scaling is inherent to the proposed structure, it is felt that this design technique may be most useful in programmable or adaptive filters. Finally, the sensitivity and dynamic range properties of an orthonormal ladder filter are shown to be comparable in performance to the equivalent properties obtained from a cascade of biquads.