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Root and pre-constant signals of the 1D Teager-Kaiser operator

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Abstract

We give an input/output characterization of the Teager-Kaiser operator, then we classify the root signals (those that remain invariant) and the pre-constant signals (those that produce a constant output) of the operator. With the gained knowledge, a simple detector of sinusoidal signals and of their corresponding frequencies is designed. The methods used allow for a certain amount of generalization providing a paradigm of sorts for the design of quadratic and other polynomial filters.

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Correspondence to Alfredo Restrepo.

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Restrepo, A., Quiroga, J. Root and pre-constant signals of the 1D Teager-Kaiser operator. SIViP 5, 363–378 (2011). https://doi.org/10.1007/s11760-010-0160-1

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  • DOI: https://doi.org/10.1007/s11760-010-0160-1

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