Some Windows with Very Good Sidelobe Behavior; Application to Discrete Hilbert Transform

摘要

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. (Author)