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ACOUSTIC algorithm analysis average amplitude avian bird song recognition bird species California Quail calls CDFE centisecond cepstral cepstral peak cepstrum chirp feature vectors chirp list Clark's Nutcracker comparison Computer congruent corresponding described in Section detected difference dynamic time warping entire song excursion cycle formula Frequency Duration Duration Frequency Frequency Duration harmonics Hence High Low High House Finch human speech recognition individual integer inter-note distances internal tympaniform membranes Itakura distance length Linear Prediction Low High Frequency Low High Low LPC distance metric magnitude Markov models noise Olive-sided Flycatcher phonemes present point range recognition system recordings represented ripples sample points sampling rate Scrub Jay segment of speech sequence of labels signal similar sine wave sonagrams song feature Song Sparrow sound spectral peaks spectrum squawk Steller's Jay Swainson's Thrush syntactic Theorem thesis trachea Typical upward zero crossing vocal tract Warbling Vireo waveform Western Meadowlark whistled White-crowned Sparrow