A Circle Chart of the Rectangular Window Transformation of Fourier

Abstract

Restoration of the original time signal at the reverse window transformation of Fourier can be carried out, both on the real and imaginary part of the Fourier spectrum of direct window transformation. Unlike the classic Fourier transformation in window transformation, information about the signal phase becomes redundant. Either component of the direct signal conversion Fourier contains complete information about the original time signal. The amount of squares of both components are equal to each other. This should ensure that the component types are matched at the entrance and exit of the reverse conversion block. The inconsistency of the component at the in and exit of the reverse conversion gives a time signal with the rearranged frequency components. The window direct Fourier conversion of the zero phase harmonic signal and phase π/2 gives a single-polar function with amplitude 1 and a bipolar with 0.724611 amplitudes, which are independent of integration time, corresponding to the maximum filling of the integration window. At the same time, the ratio of stripes of unipolar and bipolar functions is 1.05, which normalizes the amplitude of the bipolar delta function to a magnitude of .