frequency slope estimation
The estimation of the frequency slope of a partial from its peak in the DFT spectrum today is possible only if a Gaussian window is used. In the following we derive a new method to estimate the frequency slope of a partial from its DFT spectral peak based on the reassignment operators. Compared to the Gaussian window based method our new method can be used with a much larger variety of windows and often achieves better accuracy for equal resolution. After a short introduction into the reassignment method we present a short analytical derivation of the method and we investigate into the analysis properties in relation with the window properties. Based on the analytical derivation of the method we explain the basic requirements for the windows to be used to achieve high accuracy estimates for frequency and frequency slope.
Contribution au colloque ou congrès : International Computer Music Conference