Title :
Design of the unimodular shaping filter
Author_Institution :
Nat. Geophys. Res. Inst., Hyderabad, India
fDate :
8/1/1991 12:00:00 AM
Abstract :
A unimodular shaping filter for noisy input is designed. It is stable, and shapes the wavelet into (a) the desired output with least squares error and (b) the actual output with a unit area. Stability was achieved by using the prewhitening parameter. A numerical example shows that the prewhitening parameter reduces the error energy in the unimodular constrained shaping filter as compared to the unconstrained shaping filter
Keywords :
filtering and prediction theory; signal processing; error energy; noisy input; prewhitening parameter; stability; unimodular shaping filter; wavelet shaping; Autocorrelation; Constraint optimization; Equations; Filters; Lagrangian functions; Least squares methods; Noise shaping; Shape; Spectroscopy; Stability;
Journal_Title :
Signal Processing, IEEE Transactions on