chord recogination by multiple fundamental frequency estimation I'm gonna implement multiple frequency estimation by summing harmonics amplitude!
I've read Anssi Klapuri paper but i can't understand him.
first of all he said spectral whitening i did it by i don't know whether it's true! after that i have to implement this formula:
$$s(\tau)=\sum_{m=0}^Mg(\tau,m)max_{}|Y(k)|$$‎
i can't understand what this $\tau$ is!
please give some hint to implement it or some other method for implementation.
$g(\tau,m)$ is the weighting function used in the paper. Equation (7) tells you how to calculate its value.

$\tau$ is the fundamental period which is the reciprocal of the fundamental frequency, $f_0$. If the fundamental frequency is 440 Hz then $\tau$ is $1/440 = 2.27$ ms.