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University of New Orleans Theses and Dissertations
Statistical spectral estimation, fundamental frequency estimation, statistical signal processing, Fourier transform, autocorrelation, autoregression
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Statistical Spectral Parameter Estimation Of Acoustic Signals With Applications To Byzantine Music, Kyriakos Michael Tsiappoutas
Statistical Spectral Parameter Estimation Of Acoustic Signals With Applications To Byzantine Music, Kyriakos Michael Tsiappoutas
University of New Orleans Theses and Dissertations
Digitized acoustical signals of Byzantine music performed by Iakovos Nafpliotis are used to extract the fundamental frequency of each note of the diatonic scale. These empirical results are then contrasted to the theoretical suggestions and previous empirical findings. Several parametric and non-parametric spectral parameter estimation methods are implemented. These include: (1) Phase vocoder method, (2) McAulay-Quatieri method, (3) Levinson-Durbin algorithm,(4) YIN, (5) Quinn & Fernandes Estimator, (6) Pisarenko Frequency Estimator, (7) MUltiple SIgnal Characterization (MUSIC) algorithm, (8) Periodogram method, (9) Quinn & Fernandes Filtered Periodogram, (10) Rife & Vincent Estimator, and (11) the Fourier transform. Algorithm performance was very precise. …