Convergence Enhancement of the GMDF Algorithm

In this paper, we derive a new normalisation technique for Frequency Domain Adaptive Filtering (FDAF) algorithms. FDAF algorithms are well-known for their low computational complexity and for their decorrelating property that allows the use of di erent step sizes for each adaptive weight, yielding a uniform convergence of all the modes of the input signal. In these algorithms, normalisation is done by recursively estimating the power of each frequency bin. By introducing a normalisation based on an orthogonal projection (as is the case for the A ne Projection algorithm), we derive new frequency domain adaptive ltering algorithms and show by means of simulation that the convergence speed is improved.