A specialization of the yanagisawa synthesis procedure to obtain RC active networks having optimum pole sensitivity

Abstract

A brief outline is given of the synthesis procedure due to Yanagisawa for obtaining a required voltage transfer function with an RC active network. The sensitivity of the networks to error in the negative impedance converter conversion factor is discussed in terms of the pole sensitivity of the network function.The realization of networks having the optimum sensitivity is considered. For the network having the response described by the second order function with equal ripple in pass and stop bands, this results in a network employing seven passive elements. Design equations are quoted for this structure.A limit to the amplitude of pass-band ripple which may be obtained with a simple section designed from the equations for the seven-passiveelement structure is pointed out. The method for overcoming this by a change in the circuit configuration is given, together with experimental results obtained with a specimen design.Definitions and relationships from sensitivity theory, some properties of the elliptic function, and the evaluation of the critical values for the constant ε2(which determines the amplitude of the pass-band ripple) are treated in appendices.