Title :
Two-Dimensional Spectrum for BiSAR Derivation Based on Lagrange Inversion Theorem
Author :
Vu, Viet Thuy ; Sjogren, Thomas K. ; Pettersson, Mats I.
Author_Institution :
Dept. of Electr. Eng., Blekinge Inst. of Technol., Karlskrona, Sweden
Abstract :
A 2-D spectrum for bistatic synthetic aperture radar is derived in this letter. The derivation is based on the commonly used mathematic principles such as the method of stationary phase and the Fourier transform and the Lagrange inversion theorem in order to find the point of stationary phase in the method of stationary phase. Using the Lagrange inversion theorem allows minimizing the initial assumptions or the initial approximations. The derived 2-D spectrum is compared with the commonly used 2-D spectrum to verify it and illustrate its accuracy.
Keywords :
Fourier transforms; inverse problems; synthetic aperture radar; BiSAR derivation; Fourier transform; Lagrange inversion theorem; bistatic synthetic aperture radar; stationary phase; two-dimensional spectrum; Apertures; Azimuth; Focusing; Frequency-domain analysis; Remote sensing; Synthetic aperture radar; Transmitters; Bistatic synthetic aperture radar (BiSAR); LORA; Lagrange inversion theorem; two-dimensional spectrum;
Journal_Title :
Geoscience and Remote Sensing Letters, IEEE
DOI :
10.1109/LGRS.2013.2289735