Title :
Minimum bandwidth basis functions for the fourth-moment bandwidth measure
Author :
Fain, Eric A. ; Varanasi, Mahesh K.
Author_Institution :
Lockheed Martin MDS, San Jose, CA, USA
Abstract :
We present a fourth-moment measure of the “bandwidth” of a strictly time-limited signal and obtain a minimum bandwidth basis for L2(a,b). Such a basis consists of orthonormal waveforms with the smallest obtainable bandwidths. The primary advantage of the fourth-moment bandwidth relative to the root mean square (RMS) and fractional out-of-band energy (FOBE) measures is that its basis functions have a O(1/f3) frequency roll-off compared to the O(1/f2) and O(1/f) decay of the RMS and FOBE basis functions, respectively
Keywords :
function evaluation; signal processing; spectral analysis; RMS basis function; fourth-moment bandwidth measure; fractional out-of-band energy measure; frequency roll-off; minimum bandwidth basis functions; orthonormal waveforms; root mean square; spectral concentration; time-limited signal; Bandwidth; Boundary conditions; Eigenvalues and eigenfunctions; Energy measurement; Equations; Frequency measurement; Measurement standards; Root mean square; Wave functions;
Conference_Titel :
Information Theory, 2000. Proceedings. IEEE International Symposium on
Conference_Location :
Sorrento
Print_ISBN :
0-7803-5857-0
DOI :
10.1109/ISIT.2000.866714
