Analyzing non-stationary signals using generalized multiple fundamental frequency model |
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| Institution: | 1. Chemistry Department, Faculty of Science, Damietta University, Damietta 34517, Egypt;2. Chemistry Department, Faculty of Science, Cairo University, Giza 12613, Egypt;1. Department of Chemistry, Kazan Federal University, Kremlevskaya 18, Kazan 420008, Russia;2. Department of Chemistry, University of North Texas, 1155 Union Circle Drive #305070, Denton, TX 76203 USA;3. Department of Chemistry, University College London, 20 Gordon Street, London WC1H OAJ, UK;1. Chemistry Department, Payame Noor University, 19395-4697 Tehran, Iran;2. Department of Chemistry, Shahreza Branch, Islamic Azad University, 311-86145 Shahreza, Isfahan, Iran;1. Department of Physics, Birla Institute of Technology and Science, Pilani 333031, Rajasthan, India;2. Department of Chemistry, Birla Institute of Technology and Science, Pilani 333031, Rajasthan, India |
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| Abstract: | In this paper, we propose a new generalized multiple frequency model to analyze non-stationary signals. The model under the assumption of additive stationary errors can be used quite effectively to analyze different signals. We propose the usual least-squares estimators to estimate the unknown parameters and it is shown that the estimators are strongly consistent. We obtain the asymptotic distributions also. The performance of the proposed model is compared with the multiple frequency model using Monte Carlo simulations. Finally, several real data are analyzed using both the proposed model and the multiple frequency model. |
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