Amplitude modulated model for analyzing non-stationary speech signals |
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Authors: | Swagata Nandi Srikanth K Iyer |
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Institution: | 1. Institut für Angewandte Mathematik , Ruprecht-Karls-Universit?t Heidelberg , Im Neuenheimer Feld 294, 69120, Heidelberg, Germany;2. Department of Mathematics , Indian Institute of Technology Kanpur , Kanpur, 208016, India |
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Abstract: | Recently amplitude modulated (AM) model in presence of additive white noise was used to analyze certain non-stationary speech data. It is observed that the assumption of white noise may not be proper in many cases. In this article, we consider the AM signal model in presence of stationary noise. We consider the least squares estimators and the estimators obtained by maximizing the Periodogram function. The two estimators are asymptotically equivalent. We study the theoretical properties of both estimators and observe their performances through numerical simulations. One speech data is analyzed and it is observed that the performance of the proposed estimators is quite satisfactory. |
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Keywords: | Strong consistency Frequencies Amplitudes Asymptotic distribution |
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