Abstract
We have already noted some of the limitations of Fourier decomposition. The assumption of periodicity in the calculation of the DFT is one main limitation. Another more subtle limitation is the unavoidable compromise between time resolution and frequency resolution. This is due to the fact that the DFT is computed on a block of data. This fixes the time window or resolution as ΔT r=N/F s, where N is the block size and F S is the sampling rate. It also fixes the frequency resolution as ΔF r=F s/N. The product of the time resolution and frequency resolution, ΔT r•ΔF r is constant, which means that improvement in time resolution can be obtained only at the expense of frequency resolution and vice versa.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
J.S. Lim and A.V. Oppenheim, Advanced Topics in Signal Processing, Prentice Hall, 1988.
M. Akay, Detection and Estimation Methods of Biomedical Signals, Academic Press, 1996.
M. Akay (ed.), Time frequency and Wavelets in Biomedical Signal Processing IEEE Press, 1998.
M.S. Kumaran, and S.R. Devasahayam, Wavelet Decomposition of Myoelectric Reflexes-Time Feature Extraction of the Blink Reflex and its use in Clinical Diagnosis. Proceedings of the 5 th Biennial Conference on Signal Processing and Comm., BSc, Bangalore, 67–72 (July 1999).
Author information
Authors and Affiliations
Rights and permissions
Copyright information
© 2000 Springer Science+Business Media New York
About this chapter
Cite this chapter
Devasahayam, S.R. (2000). Time-Frequency and Wavelet Analysis. In: Signals and Systems in Biomedical Engineering. Topics in Biomedical Engineering International Book Series. Springer, Boston, MA. https://doi.org/10.1007/978-1-4615-4299-5_6
Download citation
DOI: https://doi.org/10.1007/978-1-4615-4299-5_6
Publisher Name: Springer, Boston, MA
Print ISBN: 978-1-4613-6929-5
Online ISBN: 978-1-4615-4299-5
eBook Packages: Springer Book Archive