The Objective of the Method Described is to Compute the Fourier Transform of a Function of Space and Time with a Significant Improvement in the Resolution of Spatial Frequencies, particularly in the Case of Small Arrays for Which the Size of the Array is on the Order of One Wavelength (Or less). This Improvement is Initially Developed by Considering the Conversion of Spatial Frequency into Temporal Frequency through the Oscillatory Motion of a Single Receiver. a More Practical Scheme is Next Presented in Which the Oscillatory Motion is Created Synthetically by the Appropriate Sequential Sampling of Individual Elements in a Receiving Array. Both Forms of This Method (Real and Synthetic Motion) Besides Providing Some Degree of "Super-Resolution" Are Linear and Indicative of Amplitude as Well as Phase. Copyright © 1983 by the Institute of Electrical and Electronics Engineers, Inc.
R. E. Dubroff, "Improved Wavenumber Resolution for Small Arrays," IEEE Transactions on Geoscience and Remote Sensing, vol. GE thru 21, no. 1, pp. 83 - 93, Institute of Electrical and Electronics Engineers, Jan 1983.
The definitive version is available at https://doi.org/10.1109/TGRS.1983.350533
Electrical and Computer Engineering
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01 Jan 1983