Hirschman optimal transform DFT block LMS algorithm

In this paper a new block LMS algorithm is introduced. This algorithm is based on a fast HOT convolution developed by our group. We call our algorithm the block HOT-DFT LMS algorithm. Our algorithm uses the premise that the filter size is much smaller than the block size. Our developed algorithm is very similar to the block DFT LMS algorithm, but provides a reduced computational complexity of about 30%. The computational efficiency of the block HOT-DFT LMS algorithm is verified and its convergence analysis is analyzed.