Some windows with very good sidelobe behavior: Application to discrete Hilbert transform

Some of the windows presented by Harris -- Proc. IEE, Jan. 78 -- are not correct in terms of their reported peak sidelobes and optimal behavior. We present corrected plots of Harris: windows and also derive additional windows with very good sidelobes and optimal behavior under several different constraints. These plots enable the reader to select a window to suit his requirements, in terms of bias due to near-by sidelobes and bias due to distant sidelobes. An application of the new windows to a technique for calculating the discrete Hilbert transform is presented.