Realtime implementation of an internal-model-principle signal identifier

This paper presents a means of tuning an adaptive internal model principle based signal identification algorithm whose computational costs are low enough to allow a realtime implementation. The algorithm allows an instantaneous Fourier decomposition of nonstationary signals that have a strongly predictable component. Previous work showed how the dynamics of the algorithm could be chosen to be represented by a bandpass filter with notches. However this involved solving a large set of coupled linear equations. This paper shows how the equations can be decoupled into pairs of linear equations which have explicit solutions.