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1 2013 M
2 2013 : M
3 I
4 I II II
5 2.1 PCM III
6 CD [1][2] Crypton Future Media MUTANT [3] MUTANT 1
7 1.1 MUTANT 1.1: MUTANT 2
8 [4][5] SoundHound midomi [6] midomi 10 [7] [8] 3
9
10 PCM 2.1 5
11 2.1: PCM 44.1kHz 16bit 705.6kbpm PCM bit PCM
12 2.1: a b f s T (2.1) T = a b f s (2.1) η α (2.2) α = { 1 T η ( T < η) 0 (otherwise) (2.2) 2.4 7
13 η [9][10][11][12] [13][14][15] [16][17] [9] 2 [18] 2 (2.3) (2.4) H(p) = h(q) = 1 N N 1 q=0 N 1 p=0 2πpq i h(q)e N (p = 0, 1, 2,..., N 1) (2.3) H(p)e i 2πpq N (q = 0, 1, 2,..., N 1) (2.4) H(p) h(q) N N
14 t (2.5) t = N f s (2.5) N f s N 2048 f s 44.1kHz t [19][20] W (q) (2.6) W (q) = cos 2πq N (2.6) h(q) h (q) (2.7) h (q) = h(q)w (q) (2.7) h (q) (2.3) h(q) 2.2 9
15 2.2: (2.4) h(q) q q = 0 h(q) q 0 1 h(q) 0 q h(q) q q f s f 0 (2.8) 2.3 f 0 = f s q (2.8) 10
16 2.3: 2 440Hz(A4) A0 G#10 A0 11
17 2.2: (Hz) 1 A A# B G# A A# F# G G# (2.5) t m A (2.9) A = 1 m m ( u j v j ) (2.9) j=1 u j j v j j A τ β (2.10) β = { 1 A τ (A < τ) 0 (otherwise) (2.10) (2.2) A τ 50 12
18 t {(x k, y k )}(k = 1, 2, 3,..., m) r (2.11) r = m (x k x)(y k y) k=1 m (x k x) 2 m (y k y) 2 k=1 k=1 (2.11) x, y x = {x k }, y = {y k } γ (2.12) γ = r (2.12) r -1 1 r -1 γ 0 r 1 γ Z (2.2) α (2.10) β 13
19 (2.12) γ (2.13) Z = 1 (α + β + γ) (2.13) 3 Z 14
20 A. B. 2 15
21 ( On-jin ( [21] A B : (2.4)
22 OS CPU 3.1: Windows 7 Professional 64bit Intel(R) Core(TM) i7 CPU M 2.80GHz 6.00GB ECM-PCV80U A 2 I 3.2 II II 3.2: I 17
23 3.3: II 3.2: I II B
24 3.4: 3.3: t [22] 5% p t p I II II 19
25 10 I t t p A II 20
26 B
27 4 22
28 23
29 ( On-jin ( on-jin.com/) 24
30 [1] Apple Inc. itunes. [2] Soundminer Inc. Soundminer. [3] Crypton Future Media Inc. MUTANT. [4] Shazam Entertainment Ltd. Shazam. [5] Sony Mobile Communications Inc. TrackID. co.jp/pc/ag/index.php?page=cate&cid=26&id=925. [6] SoundHound Inc. midomi. [7],,.., [8],.., [9] Philip McLeod, Geoff Wyvill. A Smarter Way to Find Pitch. Proc. International Computer Music Conference, Barcelona, Spain, pp , September [10] Alain De Cheveigné, Hideki Kawahara. YIN, A Fundamental Frequency Estimator for Speech and Music. The Journal of the Acoustical Society of America, Vol. 111, p. 1917, April
31 [11] Lawrence R. Rabiner. On the Use of Autocorrelation Analysis for Pitch Detection. IEEE Trans. Acoust., Speech & Signal Process., Vol. ASSP-25, pp , February [12] M.J. Ross, H.L. Shaffer, A. Cohen, R. Freudbereg, H.J Manley. Average Magnitude Diffrence Function Pitch Extractor. IEEE Trans. Acoust., Speech & Signal Process., Vol. ASSP-22, No. 5, pp , October [13] Adriano Mitre, Marcelo Queiroz, Regis R. A. Faria. Accurate and Efficient Fundamental Frequency Determination from Precise Partial Estimates. Proc. 4th AES Brazil Conference, pp , [14] M.S. Andrew, J. Pincone, R.D. Degroat. Robust Pitch Determination via SVD Based Cepstral Methods. IEEE Int. Conf. Acoust., Speech & Signal Process., Albuquerque, U.S.A., Vol. 1, pp , April [15] C. Nadeu, J. Pascual, J. Hernando. Pitch Determination using the Cepstrum of the One-sided Autocorrelation Sequence. IEEE Int. Conf. Acoust., Speech & Signal Process., Toronto, Canada, Vol. 5, pp , April [16].. PhD thesis,, March [17] Stephen A. Zahorian, Hongbing Hu. A SpectralOtemporal Method for Robust Fundamental Frequency Tracking. The Journal of the Acoustical Society of America, Vol. 123, pp , April [18] D. G. Lampard. Generalization of the WienerKhintchine Theorem to Nonstationary Processes. Journal of Applied Physics, Vol. 25, No. 6, p. 802, June
32 [19],. (Window Function). shinshu-u.ac.jp/~yizawa/infsys1/basic/chap9/index.htm. [20] Andrew Greensted. FIR Filters by Windowing. co.uk/audio/firwindowing.html. [21] PINO.TO index.htm. [22]. 2 t. 27
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