Title :
Error analysis in angular frequency propagation method caused by using the DFT
Author :
Kim, Sun I. ; Reid, John M.
Author_Institution :
Sch. of Med., Hanyang Univ., Seoul, South Korea
Abstract :
The authors analyze the errors that arise in the numerical evaluation of the continuous convolution integral using the discrete Fourier transform (DFT). They focus on the numerical evaluation of Rayleigh´s integral using the angular frequency propagation method, which furnishes a good example of the occurrence of such error. Aliasing error, warp-around error, circular convolution, and the windowing effect are discussed. Methods for reducing error are suggested
Keywords :
Fourier transforms; Rayleigh´s integral; aliasing error; angular frequency propagation method; circular convolution; continuous convolution integral; discrete Fourier transform; numerical evaluation; warp-around error; windowing effect; Convolution; Discrete Fourier transforms; Error analysis; Fourier transforms; Frequency domain analysis; Green´s function methods; Kernel; Passband; Sampling methods; Transfer functions;
Conference_Titel :
Engineering in Medicine and Biology Society, 1989. Images of the Twenty-First Century., Proceedings of the Annual International Conference of the IEEE Engineering in
Conference_Location :
Seattle, WA
DOI :
10.1109/IEMBS.1989.95910
