Title :
New properties of the Radon transform of the cross Wigner/ambiguity distribution function
Author :
Raveh, I. ; Mendlovic, D.
Author_Institution :
Fac. of Eng., Tel Aviv Univ., Israel
fDate :
7/1/1999 12:00:00 AM
Abstract :
In this correspondence, we prove that the Radon transform of the cross Wigner distribution function is a separable multiplication of fractional Fourier transforms of these functions. Thus, the 2-D cross ambiguity function is a surface of fractional correlation for 1-D signals, each associated with the angle of observation over the surface
Keywords :
Fourier transforms; Radon transforms; Wigner distribution; correlation theory; signal representation; time-frequency analysis; 1D signals; 2D cross ambiguity function; Radon transform; cross Wigner distribution function; fractional Fourier transforms; observation angle; separable multiplication; surface of fractional correlation; Autocorrelation; Distribution functions; Fourier transforms; Frequency; Instruction sets; Signal mapping; Signal processing; Signal representations; Two dimensional displays; Uncertainty;
Journal_Title :
Signal Processing, IEEE Transactions on