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  5. AN ANALYSIS OF OPTIMALITY OF THE KNOWN GRAVIMETRIC FUNCTIONS IS IN LITTLEPOINT DISCRETE TRANSFORMATIONS OF FUR'E

AN ANALYSIS OF OPTIMALITY OF THE KNOWN GRAVIMETRIC FUNCTIONS IS IN LITTLEPOINT DISCRETE TRANSFORMATIONS OF FUR'E

N.P. Chornoborodova, M.P. Chornoborodov
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It is rotined that for discrete transformations of Fur'e with a few of filters, in itself a level of sidelobes is not the independent informing index of quality of gravimetric function. This parameter necessarily must be complemented information about the coefficient of expansion of main petal of filter in relation to a kernel Dirichlet, certain according to the regulations of the first zero of ACHKH. Conclusion about the optimality of gravimetric function on the criteria of minimum expansion of main petal and maximal suppression of sidelobes of filter it is possible to do on his FCHKH: what anymore difference of FCHKH of filters of з by a rectangular window and probed gravimetric function, the worse indexes of window.
Keywords: discrete transformation of Fur'e, gain-frequency description, phase-frequency description, gravimetric window, filter, level of sidelobes