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Finite product representation via multiplicative calculus and its applications to exponential signal processing

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Abstract

In this paper, the multiplicative least square method is introduced and is applied to integrals for the finite product representation of the positive functions. Hence, many nonlinear functions can be represented by well-behaved exponential functions. Product representation produces an accurate representation of signals, especially where exponentials occur. Some real applications of nonlinear exponential signals will be selected to demonstrate the applicability and efficiency of proposed representation.

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Ozyapici, A., Bilgehan, B. Finite product representation via multiplicative calculus and its applications to exponential signal processing. Numer Algor 71, 475–489 (2016). https://doi.org/10.1007/s11075-015-0004-8

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