Title :
Generalized kernels for reconstructing bandlimited functions and their Hilbert transform
Author :
Boche, H. ; Protzmann, M.
Author_Institution :
Broadband Mobile Commun. Networks, Heinrich-Hertz-Inst. fur Nachrichtentech. Berlin GmbH, Germany
Abstract :
This paper introduces generalized kernels to be used with the algorithm for reconstructing bandlimited functions from nonequidistant samples which was previously proposed by the authors. The new kernels turn out to be much more compatible with the requirements of numerical implementation, because they lead to matrices with a significantly reduced condition.
Keywords :
Hilbert transforms; interpolation; matrix algebra; signal reconstruction; signal sampling; smoothing methods; Hilbert transform; bandlimited functions; discontinuous spectra; discrete Fourier transform; generalized kernels; interpolated function; linear equations; nonequidistant samples; numerical implementation; reconstruction algorithm; signal sampling; sinc-kernel; smooth spectra; Approximation algorithms; Broadband communication; Electronic mail; Equations; Kernel; Mobile communication; Sampling methods; Standardization; Symmetric matrices;
Conference_Titel :
Precision Electromagnetic Measurements Digest, 1998 Conference on
Conference_Location :
Washington, DC, USA
Print_ISBN :
0-7803-5018-9
DOI :
10.1109/CPEM.1998.699985
