The unit step window and the identification of damped sinusoids

Digital signals are found to have an `in-plane´ representation of their z-transform zeros. This property allows for the location of the small and large zeros from short sections of signals, including very long signals or ones with severe zero clusters which have hitherto confounded all other methods of analysis. Also, it is shown how the location of the small zeros makes it possible to obtain highly improved identification of hidden heavily damped sinusoids