We consider the problem of finding the Discrete Fourier Transform (DFT) of N-length signals with known frequency support of size k. When N is a power of 2 and the frequency support is a spectral set, we provide an O(k\log k) algorithm to compute the DFT. Our algorithm uses some recent characterizations of spectral sets and is a generalization of the standard radix-2 algorithm. © 2021 IEEE.

Aditya Siripuram

Department of Electrical Engineering

P.C. Reddy

V.S.S.P. Tej

B. Osgood

Indian Institute of Technology Hyderabad (IITH) is a premier institute of science and technology established in 2008. IITH has been consistently ranked in the&nbsp;<a href="https://iith.ac.in/reports/" rel="noopener noreferrer">top 10 institutes</a>&nbsp;in India for Engineering&nbsp;<a href="https://www.nirfindia.org/2021/EngineeringRanking.html" rel="noopener noreferrer" target="_blank">according to NIRF</a>&nbsp;making it one of the most coveted schools for science and technology in the country.

IITH offers&nbsp;<a href="https://iith.ac.in/academics/under-graduate/">undergraduate programs</a>&nbsp;in all the classical engineering disciplines, applied sciences, design, as well as several modern interdisciplinary areas. Students are given a flexibility to explore a broad set of areas, and potentially pursue a minor or double major in a discipline that is not their own. Students who wish to seek a deeper understanding of their own discipline are strongly encouraged to get involved in cutting-edge research with the help of a faculty to mentor them, and earn an Honors in their own field.

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Journal	Data powered by TypesetIEEE International Symposium on Information Theory - Proceedings
Publisher	Data powered by TypesetInstitute of Electrical and Electronics Engineers Inc.
ISSN	21578095