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Standard filter approximations for low power Continuous Wavelet Transforms.

Alexander J Casson¹, Esther Rodriguez-Villegas

¹Department of Electrical and Electronic Engineering, Imperial College London, UK. acasson@imperial.ac.uk

Annual International Conference of the IEEE Engineering in Medicine and Biology Society. IEEE Engineering in Medicine and Biology Society. Annual International Conference

|November 25, 2010

Summary

Analogue Continuous Wavelet Transform (CWT) filters are vital for low-power wearable devices. This study explores using standard Butterworth, Chebyshev, and Bessel filter approximations for CWT, enabling successful ECG signal analysis.

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Area of Science:

Electronics Engineering
Biomedical Signal Processing
Applied Mathematics

Background:

Analogue implementations of the Continuous Wavelet Transform (CWT) are crucial for low-power wearable physiological monitoring.
Current analogue CWT designs approximate the mother wavelet function for circuit implementation.
There is a need for alternative approximation techniques to enhance analogue CWT filter design.

Purpose of the Study:

To investigate the use of standard filter approximations (Butterworth, Chebyshev, Bessel) as alternative methods for approximating mother wavelet functions in analogue CWT.
To expand the range of approximation techniques available for designing analogue CWT filters.
To demonstrate the efficacy of these new approximation techniques in a practical application.

Main Methods:

Mathematical approximation of mother wavelet functions using standard filter design techniques: Butterworth, Chebyshev, and Bessel.
Implementation of analogue filters based on these approximations.
Application of the developed analogue CWT filters to electrocardiogram (ECG) signal analysis.

Main Results:

Standard filter approximations can be effectively used to generate analogue CWT filters.
These approximations provide a viable alternative to existing wavelet approximation techniques.
Successful extraction of signal information from ECG data using the proposed analogue CWT filters was demonstrated.

Conclusions:

The use of Butterworth, Chebyshev, and Bessel filter approximations offers a novel and effective approach for designing analogue CWT filters.
This method enhances the toolkit for creating low-power analogue CWT systems for physiological monitoring.
The study validates the practical utility of these approximations through successful ECG analysis.