After processing, the contents of five anthraquinone agly-cones descended compared with the crude material, the descending percentage are 15.9% (aleo-emodin), 28.0% (rhein), 25.8% (e-modin), 10.0% (chrysophanol) and 10.3% (physcion).
It is shown that the one-dimensional sampling sets correspond to Bessel sequences of complex exponentials that are not Riesz bases for $L^2[-R,R].$ A signal processing application in which such sampling sets arise naturally is described in detail.
The Discrete Wavelet Transform (DWT) is of considerable practical use in image and signal processing applications.
Among all image transforms, the classical (Euclidean) Fourier transform has had the widest range of applications in image processing.
The projectively adapted properties of theSL(2, ?)-harmonic analysis, as applied to the problems, in image processing, are confirmed by computational tests.
Such systems play an important role in time-frequency analysis and digital signal processing.