The design and analysis of an analog ratio spectrum circuit

In Section 2, we give a brief introduction tcl the RS; in Section 3, we introduce an adaptive implemlentation of the RS and derive an approximate expression for convergence time linearized techniques comedy used in the analysis of phase lock loops and other nonlinear circuits; in section 4, we describe a new analog RS circuit with an adaptive tenth-order Butterworth lovv. pass filter (LPF) and show some simulation results. The ratio spectrum (RS) is a novel method for signal analysis that has been successfully demonstrated for speech recognition and coding applications. In this paper, an improved RS circuit with an adaptive tenth-order Butterworth low-pass filter has been designed. We also present the first convergence analysis of the ratio spectrum. We derive linearized convergence expressions for the RS and compare the theoretical predictions to circuit simulations. 2 Brief review of ratio spectnim (RS)