Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Recommended Reading
Ailon N (2014) An n∖log n lower bound for Fourier transform computation in the well conditioned model. CoRR. abs/1403.1307, http://arxiv.org/abs/1403.1307
Candes E, Tao T (2006) Near optimal signal recovery from random projections: universal encoding strategies. IEEE Trans Info Theory
Candes E, Romberg J, Tao T (2006) Robust uncertainty principles: exact signal reconstruction from highly incomplete frequency information. IEEE Trans Info Theory 52:489–509
Charikar M, Chen K, Farach-Colton M (2002) Finding frequent items in data streams. In: ICALP
Cormode G, Muthukrishnan S (2004) Improved data stream summaries: the count-min sketch and its applications. In: LATIN
Do Ba K, Indyk P, Price E, Woodruff D (2010) Lower bounds for sparse recovery. In: SODA
Donoho D (2006) Compressed sensing. IEEE Trans Info Theory 52(4):1289–1306
Ghazi B, Hassanieh H, Indyk P, Katabi D, Price E, Shi L (2013) Sample-optimal average-case sparse Fourier transform in two dimensions. In: Allerton
Gilbert A, Guha S, Indyk P, Muthukrishnan M, Strauss M (2002) Near-optimal sparse Fourier representations via sampling. In: STOC
Gilbert A, Muthukrishnan M, Strauss M (2005) Improved time bounds for near-optimal space Fourier representations. In: SPIE conference on wavelets
Gilbert AC, Li Y, Porat E, Strauss MJ (2010) Approximate sparse recovery: optimizing time and measurements. In: STOC, pp 475–484
Goldreich O, Levin L (1989) A hard-corepredicate for allone-way functions. In: STOC, pp 25–32
Hassanieh H, Indyk P, Katabi D, Price E (2012) Nearly optimal sparse Fourier transform. In: STOC
Indyk P, Kapralov M (2014) Sample-optimal Fourier sampling in any constant dimension. In: 2014 IEEE 55th annual symposium on foundations of computer science (FOCS). IEEE, pp 514–523
Indyk P, Price E, Woodruff D (2011) On the power of adaptivity in sparse recovery. In: FOCS
Iwen MA (2010) Combinatorial sublinear-time Fourier algorithms. Found Comput Math 10:303–338
Kushilevitz E, Mansour Y (1991) Learning decision trees using the Fourier spectrum. In: STOC
Levin L (1993) Randomness and non-determinism. J Symb Logic 58(3):1102–1103
Mansour Y (1992) Randomized interpolation and approximation of sparse polynomials. In: ICALP
Morgenstern J (1973) Note on a lower bound on the linear complexity of the fast Fourier transform. J ACM (JACM) 20(2):305–306
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2016 Springer Science+Business Media New York
About this entry
Cite this entry
Price, E. (2016). Sparse Fourier Transform. In: Kao, MY. (eds) Encyclopedia of Algorithms. Springer, New York, NY. https://doi.org/10.1007/978-1-4939-2864-4_800
Download citation
DOI: https://doi.org/10.1007/978-1-4939-2864-4_800
Published:
Publisher Name: Springer, New York, NY
Print ISBN: 978-1-4939-2863-7
Online ISBN: 978-1-4939-2864-4
eBook Packages: Computer ScienceReference Module Computer Science and Engineering