Comparative analysis of stability indices of the Chebyshev and Cauer reactive ladder filters

The stability of gain-frequency responses of LC-filters is defined via the cumulative and quadratic cumulative sensitivity functions. We study these t wo indices for the widely used Chebyshev and Cauer fillers. Based on the nu merical analysis, we show that the smaller the passband ripple and the guar anteed attenuation in the stopband of a reactive filter, the higher the sta bility of characteristics of the filter. Cauer's filters possess better sta bility as compared to Chebyshev's filters, all factors being equal. The inf luence of operating conditions of a filter as well as losses in its element s on stability indices is studied. Recommendations are proposed for ensurin g a specified stability of the gain-frequency response when choosing a filt ering circuit.