Modern methods for optimal spatio-temporal signal processing in active, passive, and combined active-passive radio-engineering systems

Atomic, WA-systems, and R-functions applied in modern radio physics problems: Part I

“…He formulated these properties in the theorem [46] playing a fundamental role in the communication and informatics theory and various other physical applications. Signals with a finite spectrum can also be interpolated with the use of the Fourier transforms (FTs) of AFs [5][6][7][8][9][14][15][16][17][18][19], because the zeros of these transforms are regularly arranged. In addition, at infinity, the spectra of AFs approach zero much faster than functions sinc(x), a circumstance that allows truncating the interpolation series to a comparatively small number of terms.…”

“…With the help of the inverse FT (IFT), AF is determined as (15) Here, Following [5], we present the following main proper ties of AF…”

“…For over 40 years, the theory of R and atomic functions (AFs) and, recently, the theory of WA system functions [8][9][10][11][12][13][14][15][16][17][18][19] have been actively devel oped in various physical applications. The theories of atomic and R functions are elaborated in monographs [1][2][3][4][5][6][7][8][9][10][11][12][13].…”

“…(i) the main physical applications of atomic, WA systems, and R functions, in Digital Signal Processing As is known, the choice of WFs [4][5][6][7][8][9][10][11][12][13][14][15][16][17][18][19][20][21] is one of the main points in classical problems of spectral signal estimation. Window DSP, which, in particular, is applied to control physical parameters, is based on the presence of sidelobes in spectral estimates.…”

Intensity and polarization of thermal radiation of three-dimensional rain cells in the microwave band

“…Due to this and other directions of research, interaction of microwave radiation with precipitations and clouds of various types is now extensively studied [3][4][5][6][7][8][9][10][11][12][13]. Many of them consist of non-spherical particles, having prevalent orientation like falling raindrops.…”