Title :
Sampling theorem for wavelet subspaces: error estimate and irregular sampling
Author :
Sun, Wenchang ; Zhou, Xingwei
Author_Institution :
Inst. of Math., Nankai Univ., Tianjin, China
fDate :
1/1/2000 12:00:00 AM
Abstract :
The error estimate is useful in the application of the sampling theorem. For the classical Shannon sampling theorem, various errors are widely studied, but for the sampling theorem in general wavelet subspaces, only the aliasing error is studied. In this paper, we study three other errors: truncation error, amplitude error, and time-jitter error. With the same technique, a result on irregular sampling is improved
Keywords :
error analysis; signal sampling; wavelet transforms; Shannon sampling theorem; aliasing error; amplitude error; error estimate; general wavelet subspaces; irregular sampling; time-jitter error; truncation error; wavelet subspaces; Convergence; Educational programs; Error correction; Finite wordlength effects; Fourier transforms; Helium; Sampling methods; Signal analysis; Sun; Waves;
Journal_Title :
Signal Processing, IEEE Transactions on
