The Discrete Prolate Spheroidal Filter as a Signal Processing Tool
K. Breakall, Georg K. Karawas · 1985
The discrete prolate spheroidal (DPS) filter is one of the class of nonrecursive finite impulse response (FIR) filters. The DPS fil- ter, first introduced by Tufts and Fraqcis (l), is superior to other filters in this class in that it has maximum energy concentration in the fre- quency passband and minimum ringing in the time domain. Slepian (2) gives a complete discussion of DPS function properties. We give a math- ematical development of the DPS filter properties, provide information required to easily and accurately construct even many coefficient filters, and compare the properties of this filter with those of the more com- monly used filters of the same class. We note that use of the DPS filter allows for particularly useful statements of data timelfrequency reso- lution cell values and that overall it forms an especially useful, though little known tool for digital signal processing.