Next: Historical Notes Up: The Chirplet Transform: Previous: The Chirplet Transform: . ... One of these TF methods, the short-time Fourier transform (STFT), has been used extensively for analyzing speech, music, and other non-stationary signals. ... Another time-frequency representation (which might more appropriately be called a time-scale representation) is the well-known wavelet transformheil-walnut,mallat:theory,daubechies:transform,strangwavelets. ... Historical Notes . ...

Program: TRANSFORM Purpose: Transform a (sub)set using rotation, scaling, translation etc. ... This set will be transformed to OUTSET=, using a concatenation of simple operations like rotation, scaling, translation etc. ... POS= Enter position of centre: [0,0] All operations are defined with respect to a central point. ... If, for example, you want to rotate an object about its centre, then determine the position of this centre (e.g. -6.2 8.5) and enter these numbers here (e.g. POS= -6.2 8.5). ...

Next: Examples of Wavelets Up: The Wavelet Transform Previous: Introduction . The Morlet-Grossmann definition of the continuous wavelet transform [ 17 ] for a 1D signal is: . where denotes the complex conjugate of z , is the analyzing wavelet, a ( >0 ) is the scale parameter and b is the position parameter. ... The last property makes the wavelet transform very suitable for analyzing hierarchical structures. ... Now consider a function which is the wavelet transform of a given function . ...

... Circle rotations. ... Symbolic dynamical systems: sequence spaces, Markov chains, adding machines. Birkhoff recurrence theorem. ... Tent map. ... Expanding maps of a circle. ... Topological entropy. ... Finiteness of entropy for Lipschitz self-maps. Entropy for symbolical dynamical systems. ... Entropy for one-dimensional maps. Entropy for expanding maps and the Misiurewicz-Przytycki theorem. ... Structural stability of expanding circle maps. ... SRB measures for expanding maps. ...

... Image formation is typically described as a linear process. ... where, for 2-dimensional systems, the object coordinates are and the image coordinates are . Such a general description of a linear system is termed shift-variant, because the shape of , the impulse response (or point spread function, PSF), might change as the object position, , is shifted. ... Hence, the exit pupil geometry changes with field position, so the system response changes with field position (i.e., is shift-variant). ...

... Previous: Implementation Design of the ASC Data Model . ... We describe a coordinate library for AXAF data analysis. The library handles transformations between celestial coordinates and instrumental (mirror, focal plane, detector pixel) coordinate systems. ... Pixlib library is intended to perform AXAF Science Center (ASC) coordinate system data analysis. ... At the present, the library affords more than 50 transformations among ~20 ASC coordinate systems. ... is zero matrix and I unit matrix. ...

... Introduction | ... Tail Probe is a spin-stabilized spacecraft spinning around the main axis of the maximum moment of inertia. ... To know the spacecraft attitude for a given time we use a matrix N to transform any vector V from the Geocentric Solar-Ecliptic ( GSE ) coordinate system to the Spacecraft Construction ( S/C ) coordinate system . ... X S axis is the spacecraft struclural axis which is close to the spin axis and to the main axis of the maximum moment of inertia X m , . ...

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SAI 175 anniversary . ... Moscow University . Search for in SAI Moscow University Search for in Russian astronomical resources . ... SAI Astronomical Databases . ... Browse SAI Software archive(ftp.sai.msu.su) . ASTRONET.RU - Russian Astronomical Network (available in translit also) . ... SAI Supernovae Research Group . ... Department of the Galaxy and Variable Stars (in Russian) . Sternberg Astronomical Institute Seminars . ... All-Russian Astronomical Olympiad (in Russian) . ...

XMM-Newton Science Analysis System . ... include changes in version 3.6.5 etc . Module name: coordinate . ... This module contains subroutines to perform a variety of coordinate transformations. Where possible the cal coordinate-transformation routines are used. The present subroutines have been designed to act as wrappers-of-convenience for one or more of the cal routines rather than to supplant them. ... XMM-Newton SOC/SSC -- 2007-07-08 ...

... To compare images from different instruments it is desirable for them to have the same scale and orientation. ... Use for shrinking. im> imlintran casa casa_m 0. 0. 2. 2. # input image casa.imh is shrunk factor of 2 # and result put in casa_m.imh . ... im> magnify casa casa_m 0.5 0.5. To shift, specify the old and new position of the image center. im> imlintran casa_m casa_mt 0. 0. 1. 1. xin=256 yin=256 xout = 276 yout=456 # moves the image casa_m 20 pixels to the right and 200 pixels up. ...