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Ultrafast Analog Fourier Transform Using 2-D LC Lattice

Afshari, Ehsan and Bhat, Harish S. and Hajimiri, Ali (2008) Ultrafast Analog Fourier Transform Using 2-D LC Lattice. IEEE Transactions on Circuits and Systems I: Regular Papers, 55 (8). pp. 2332-2343. ISSN 1549-8328. doi:10.1109/TCSI.2008.918151.

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We describe how a 2-D rectangular lattice of inductors and capacitors can serve as an analog Fourier transform device, generating an approximate discrete Fourier transform (DFT) of an arbitrary input vector of fixed length. The lattice displays diffractive and refractive effects and mimics the combined optical effects of a thin-slit aperture and lens. Diffraction theories in optics are usually derived for 3-D media, whereas our derivations proceed in 2-D. Analytical and numerical results show agreement between lattice output and the true DFT. Potentially, this lattice can be used for an extremely low latency and high throughput analog signal processing device. The lattice can be fabricated on-chip with frequency of operation of more than 10 GHz.

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Hajimiri, Ali0000-0001-6736-8019
Additional Information:© Copyright 2008 IEEE. Reprinted with permission. Manuscript received December 9, 2006; revised. First published February 8, 2008; current version published September 17, 2008. This paper was recommended by Associate Editor A. G. Andreou. The authors would like to thank A. Komijani, M. Taghivand, and F. Bohn, California Institute of Technology, Pasadena, and B. Osting, Columbia University, New York, NY, for helpful discussions regarding this work.
Subject Keywords:Discrete Fourier transforms, lattice circuits, physical theory of diffraction, planar transmission lines, ultra-fast analog signal processing
Issue or Number:8
Record Number:CaltechAUTHORS:AFSieeetcasI08
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Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:12128
Deposited By: Archive Administrator
Deposited On:24 Oct 2008 21:07
Last Modified:08 Nov 2021 22:25

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