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	Analiza cepstralna	Formowanie wiązki
Dziedzina	Akustyka	Akustyka
Rodzina	Process / pipeline	Process / pipeline
Rok powstania	1963	1988
Twórca	Bogert, Healy, Tukey	Van Veen, Barry Buckley
Typ	Spectral decomposition method	Directional audio array processing
Źródło pierwotne	Bogert, B. P., Healy, M. J., & Tukey, J. W. (1963). The quefrency alanysis of time series for echoes: cepstrum, pseudo-autocovariance, cross-cepstrum, and saphe cracking. In Time Series Analysis Research Papers (pp. 209–243). Wiley.	Van Veen, B. D., & Buckley, K. M. (1988). Beamforming: A versatile approach to spatial filtering. IEEE ASSP Magazine, 5(2), 4–24.
Inne nazwy	cepstrum, MFCC, mel-frequency cepstral coefficients, spectral analysis	beamformer, spatial filtering, microphone array, phased array
Pokrewne	5	5
Podsumowanie	Cepstral analysis is a spectral analysis technique that decomposes signals into independent components by inverting the log-magnitude spectrum. Pioneered by Bogert, Healy, and Tukey in 1963, cepstral analysis reveals periodic structure in spectra (pitch, echo patterns) and separates source excitation from filter response. Mel-frequency cepstral coefficients (MFCCs) derived from cepstral analysis are the most widely used features in automatic speech recognition, speaker verification, and audio analysis.	Beamforming is a spatial signal processing technique that uses microphone arrays to selectively enhance sound from a desired direction while suppressing sounds from other directions. Formalized by Van Veen and Buckley in 1988, beamforming is fundamental to hands-free speech communication, hearing aids, sonar, radar, and spatial audio recording. It enables 'listening' with directional sensitivity despite using omnidirectional microphones, by exploiting time delays and phase differences between array elements.