Ultrafast Analog Fourier Transform Using 2-D LC Lattice
- Creators
- Afshari, Ehsan
- Bhat, Harish S.
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Hajimiri, Ali
Abstract
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.
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.Attached Files
Published - AFSieeetcasI08.pdf
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Additional details
- Eprint ID
- 12128
- Resolver ID
- CaltechAUTHORS:AFSieeetcasI08
- Created
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2008-10-24Created from EPrint's datestamp field
- Updated
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2021-11-08Created from EPrint's last_modified field