Reconstruction process of the Berkner transform: application to scale range determination in a genioglossal EMG reflex time-scale detector

The continuous wavelet transform (CWT) is widely used in biomedical signal event detection processes. The Berkner transform is an approximation of a CWT that is based on a hierarchical scheme similar to discrete wavelet transform. As a contribution to this novel approach we propose an original reconstruction formula of the decomposition. We used the Berkner transform to propose an adaptive method for scale range determination in a surface EMG reflex detector of the genioglossal muscle. Scale range determination is based on a numerical criterion using the original reconstruction formula.