Biomedical signal processing (in four parts) |
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Authors: | Professor R E Challis R I Kitney |
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Institution: | (1) Ultrasonics & Digital Signal Processing Laboratory, University of Keele, ST5 5BG Newcastle under Lyme, Staffs, UK;(2) Signal Processing Group, Imperial College, South Kensington, SW7 2AZ London, UK |
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Abstract: | This is the second in a series of four tutorial papers on biomedical signal processing, and it concerns the relationships
between commonly used frequency transforms. It begins with the Fourier series and Fourier transform for continuous time signals
and extends these concepts for aperiodic discrete time data and then periodic discrete time data. The Laplace transform is
discussed as an extension of the Fourier transform. The z-transform is introduced and the ideas behind the chirp-z transform
are described. The equivalence between the time and frequency domains is described in terms of Parseval's theorem and the
theory of convolution. The use of the FFT for fast convolution and fast correlation is described for both short recordings
and long recordings that must be processed in sections. |
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Keywords: | Biomedical chirp-z transform Fast convolution and correlation Fourier transform Laplace transform Signal processing z-transform |
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