ESTIMATION OF FUNDAMENTAL FREQUENCY OF COMPLEX SINE SIGNAL USING q-SE AND PCC INTERPOLATION WITH 1P KEYS KERNEL ALGORITHMS - COMPARATIVE ANALYSIS
Keywords:
frequency estimation, q-SE algorithm, PCC interpolation, interpolation kernel, 1P Keys kernelAbstract
In the first part of this paper, the phenomena of spectral leakage, which occurs when applying the Discrete Fourier Transformation, is described. After that, q-SE and PCC interpolation algorithm with 1P Keys kernel, which are applied to reduce spectral leakage and increase the precision of fundamental frequency estimation, are described. In the second part of the paper, the results of the Experiment, which was conducted with the aim of determining the efficiency of frequency estimation using these two algorithms, are presented. For the purposes of the Experiment, a complex sinusoidal Test signal was created. The Test signal is modified in the time domain by applying some classic, time-symmetric, window functions. Using DFT the amplitude characteristic of the Test signal was determined. By analyzing the amplitude characteristic the fundamental frequency was estimated. The results of the Experiment, estimating error MSE and the execution time of the algorithms, are presented in tabular and graphical form. Based on the experimental results, a comparative analysis was performed and the high efficiency of the PCC interpolation algorithm with the implemented 1P Keys kernel was indicated.
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