Improved bounds for the eigenvalues of prolate spheroidal wave functions and discrete prolate spheroidal sequences

Santhosh Karnik, Justin Romberg, Mark A. Davenport

The discrete prolate spheroidal sequences (DPSSs) are a set of orthonormal sequences in ${\ell }_2(\mathbb{Z})$ which are strictly bandlimited to a frequency band $[-W,W]$ and maximal…