Title :
An exponential truncation bound for analytic Fourier series
Author :
Knockzert, L. ; De Zutter, Daniel
Author_Institution :
Dept. of Inf. Technol., INTEC, Gent, Belgium
fDate :
3/1/1998 12:00:00 AM
Abstract :
It is shown that analytic Fourier series admit a uniform exponential truncation bound, as a consequence, an explicit expression is obtained for the number of principal harmonics consistent with a preassigned admissible-uniform error level
Keywords :
Fourier series; convergence; harmonic analysis; signal processing; admissible-uniform error level; analytic Fourier series; explicit expression; periodic analytic functions; principal harmonics; truncation threshold; uniform exponential truncation bound; Convergence; Electrical engineering; Electromagnetic analysis; Electromagnetic scattering; Error analysis; Fourier series; Frequency modulation; Functional analysis; Information technology; Strips;
Journal_Title :
Signal Processing, IEEE Transactions on
