23 May 2013 Notched spectrum: from probing waveforms to receive filters
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The increasing demand for wireless data services and communications is expanding the frequency footprint of both civilian and military wireless networks, and hence encroaches upon spectrum traditionally reserved for radar systems. To maximize spectral efficiency, it is desirable for a modern radar system to use waveforms with the ability to fit into tightly controlled spectral regions, which requires the formation of nulls with required notching levels on prescribed frequency stop-bands. Additionally, the waveform should posses a low peak-to-average ratio (PAR), and have good auto-correlation performance. In this work, we propose a novel method for the design of such a waveform using alternating convex optimization. The core module of the proposed algorithm is a fast Fourier transform, which makes the algorithm quite efficient and can handle waveform designs with up to 105 samples. Moreover, our algorithm can achieve a flexible tradeoff between PAR and reduced pass band ripple. A simple application in synthetic aperture radar is considered to highlight the performance of the design algorithm.
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Yi Jiang, Yi Jiang, Christopher D. Gianelli, Christopher D. Gianelli, "Notched spectrum: from probing waveforms to receive filters", Proc. SPIE 8746, Algorithms for Synthetic Aperture Radar Imagery XX, 874604 (23 May 2013); doi: 10.1117/12.2016079; https://doi.org/10.1117/12.2016079

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