In this paper we consider the maximization of frequency-domain criteria for non-negative, band-limited functions with frequency-weight functions assigning higher weights to lower frequencies. It is shown that, within some 6%, these criteria are maximized simultaneously by the square of the sinc function. This result, which is relevant to optical filter design, is obtained by studying the largest eigenvalues of truncated averaging operators (for both the discrete- and continuous-variable case) in detail.
|Number of pages||11|
|Journal||Philips Journal of Research|
|Publication status||Published - 1991|