Finding of Signal and Image by Integer-Type Haar Lifting Wavelet Transform

This paper describes a new method for finding portions having the same feature in target signals or images from a time series or a reference image. The new method uses an integer-type Haar lifting wavelet transform. Free parameters contained in this transform are learned by using training signals or images. The advantage of this method is to be able to find portions having the same feature in the targets, and to realize robust extraction due to rounding-off arithmetic in the trained transform. In simulations, we show how well the method finds geomagnetic sudden commencements from time series of geomagnetic horizontal components, and extracts facial images from a snapshot.