Title :
On the Fractional Wideband and Narrowband Ambiguity Function in Radar and Sonar
Author_Institution :
Dept. of Phys., Naval Postgraduate Sch., Monterey, CA
Abstract :
We construct the wideband ambiguity function for signals represented by their fractional Fourier transforms. Because the reflected signal must be represented as a Doppler scaled version of the transmitted signal, this wideband form of ambiguity does not enjoy many of the same properties as the narrowband form (which is formed from a Doppler shifted version of the signal). We present the general result and also examine an approximation appropriate to wideband signals reflected from slowly moving targets
Keywords :
Doppler radar; Fourier transforms; approximation theory; radar signal processing; sonar signal processing; Doppler scaled version; approximation theory; fractional Fourier transform; narrowband ambiguity function; radar; sonar; wideband ambiguity function; Doppler radar; Fourier transforms; Integral equations; Kernel; Narrowband; Partial differential equations; Radar scattering; Signal processing; Sonar; Wideband; Ambiguity; fractional Fourier transform; wideband;
Journal_Title :
Signal Processing Letters, IEEE
DOI :
10.1109/LSP.2006.874436