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Table 1 Illustration of the amplitude estimation procedure. If the last row is removed, the table is a matrix showing the correlations between the mixture partials, and the values between parentheses are the warped correlation values according to (6). Thus, the regular and warped correlations between partials 1 and 2 are, respectively, 0.2 and 0.62. As can be seen, the lowest correlation value overall will have a warped correlation of 0, and the highest correlation value is warped to 1; all other correlations will have intermediate warped value. The last row in the table reveals the amplitude of each one of the mixture partials.

From: Correlation-Based Amplitude Estimation of Coincident Partials in Monaural Musical Signals

Partial

1

2

3

4

5

1

—

0.5 (1.0)

0 (0.37)

2

—

—

0.1 (0.5)

3

—

—

—

4

—

—

—

—

0.1 (0.5)

5

—

—

—

—

—

Amp.

0.7

0.9

0.4

0.5

0.3