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YALÇIN, NEDİM AKTAN

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YALÇIN

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NEDİM AKTAN

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    Publication
    Haar-MUSİC: A new hybrid method for frequency estimation
    (Springer, 2022-11-30) Yalçın, Nedim Aktan; Vatansever, Fahri; YALÇIN, NEDİM AKTAN; VATANSEVER, FAHRİ; Mühendislik Fakültesi; Elektrik Elektronik Mühendisliği Bölümü; 0000-0002-0049-7841; 0000-0002-3885-8622; AAH-1474-2021; AAG-8425-2021
    Parameter estimation is very important in signal analysis. In this study, a new hybrid method based on implementation of Multiple Signal Classification (MUSIC) method with Discrete Haar transform (DHT) coefficients for frequency estimation of signals is proposed. This method decreases the input data size and sampling frequency and limits noise subspace correlation matrix according to Nyquist criteria. The realized simulations and real test data show that the proposed method converges to signals' frequencies faster than the classical MUSIC algorithm and gives accurate results even under high noise.
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    A new hybrid method for signal estimation based on haar transform and prony analysis
    (IEEE-inst Electrical Electronics Engineers Inc, 2021-01-01) Yalçın, Nedim Aktan; Vatansever, Fahri; YALÇIN, NEDİM AKTAN; VATANSEVER, FAHRİ; Elektrik Elektronik Mühendisliği Bölümü; 0000-0002-0049-7841; 0000-0002-3885-8622; AAH-1474-2021; AAG-8425-2021
    The signal estimation is very important in electrical and electronic engineering. In this study, it is shown that signal parameters' (frequency, amplitude, and phase) estimation can be realized with the implementation of Prony method on Haar transform coefficients. In order to accomplish this, mathematical relationship between roots of Prony polynomial which are found with original signal values and roots which are calculated with Haar approximation/detail coefficients is constructed. Frequency components of signal are estimated with this relationship. Next, the second part of Prony algorithm which constructs the matrix equation between roots and signal values in order to find the amplitude and phase values is implemented with Haar coefficients. In other words, a new matrix equation is derived for finding amplitudes and phases with the found roots in the first step and Haar coefficients. Thus, implementations of the first and second steps give signal parameters. Derived equations are valid for all degrees of Haar coefficients not just the first one. The use of Haar coefficients decreases the data size and increases the speed and accuracy. The proposed method is also more robust of selection of different Prony polynomial coefficient sizes.