Calculation of a "narrowed" autocorrelation function.
A method of calculating an autocorrelation function with extremely narrow peaks is described. This is done by including terms in the autocorrelation expression corresponding to delays at 2 tau, 3 tau, etc., in addition to the usual term with delay tau. Implications in the frequency domain are explored. Graphs of this autocorrelation function for a number of violin sound samples, including a two-octave scale, vibrato, and glissando, are presented. Graphs of the autocorrelation function for some synthetic sound samples are also included.
Brown
J C
JC
Music and Cognition, Media Laboratory, Massachusetts Institute of Technology, Cambridge 02139.
Puckette
M S
MS
D000162:Acoustics; D003198:Computer Simulation; D005583:Fourier Analysis; D006801:Humans; D009146:Music; D012815:Signal Processing, Computer-Assisted; D013018:Sound Spectrography / Q000379:methods*