Local multiscale frequency and bandwidth estimation

Abstract
This paper describes a robust algorithm for estimation of local signal frequency and bandwidth. The method is based on combining local estimates of instantaneous frequency over a large number of scales. The fllters used are a set of lognormal quadrature wavelets. A novel fea- ture is that an estimate of local frequency bandwidth can be obtained. The bandwidth can be used to pro- duce a measure of certainty for the estimated frequency. The algorithm is applicable to multidimensional data and examples of the performance of the method are demonstrated for one-dimensional and two-dimensional signals.