Title :
Lomb-Wech periodogram for non-uniform sampling
Author :
Thong, Tran ; McNames, James ; Aboy, Mateo
Author_Institution :
Dept. of Biomedical Eng., Oregon Health & Sci. Univ., Beaverton, OR, USA
Abstract :
The Lomb-Scargle transform has been proposed for the direct evaluation, namely without interpolation, of non-uniformly sampled signals. In its current form, it is suitable only for single transform evaluation due to the implicit normalization. Enhancements of this transform are proposed to allow the evaluation of shorter transforms, combined with windows and averaging of overlapped records. This requires a de-normalization of the transform by a factor of 2(sigma)2/N, the use of equal time duration records, and multiplication by windows sampled at corresponding non-uniform time instances. This results in a Welch-like periodogram for non-uniform sampling.
Keywords :
medical signal processing; Lomb-Scargle transform; Lomb-Wech periodogram; Welch-like periodogram; equal time duration records; nonuniform sampling; nonuniform time instances; transform denormalization; transform enhancement; Attenuation; Fast Fourier transforms; Frequency dependence; Frequency estimation; Heart rate; Interpolation; Sampling methods; Signal analysis; Signal resolution; Smoothing methods; Lomb periodogram; Welch periodogram; non-uniform sampling;
Conference_Titel :
Engineering in Medicine and Biology Society, 2004. IEMBS '04. 26th Annual International Conference of the IEEE
Conference_Location :
San Francisco, CA
Print_ISBN :
0-7803-8439-3
DOI :
10.1109/IEMBS.2004.1403144