# 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.

• Can you link to the paper you're reading? It's very difficult to interpret that formula on its own. Jul 27, 2013 at 17:53
• yes, this, thank you for your answering. Jul 29, 2013 at 7:43

$g(\tau,m)$ 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.
• thanks. for implementing it on MATLAB is it correct that i use $f{0}/f{s}$ and $\tau*f{s}$? Jul 31, 2013 at 7:16