Homepage of Say Song Goh

Education

Research Interests


Publications

  1. Christensen, O and S S Goh, From dual pairs of Gabor frames to dual pairs of wavelet frames and vice versa. Applied and Computational Harmonic Analysis, 36 (2014): 198-214. [Download]
  2. Goh, S S, Z Shen and J Zhou, Simultaneous data recovery in image and transform domains. Methods and Applications of Analysis, 20 (2013): 425-438. [Download]
  3. Goh, S S, T N T Goodman and S L Lee, Singular integrals, scale-space and wavelet transforms. Journal of Approximation Theory, 176 (2013): 68-93. [Download]
  4. Christensen, O and S S Goh, On transformations between Gabor frames and wavelet frames. In Proceedings of the 10th International Conference on Sampling Theory and Applications, 81-84, 1-5 Jul 2013, Bremen, Germany. [Download]
  5. Goh, S S and T N T Goodman, Estimating maxima of generalized cross ambiguity functions, and uncertainty principles. Applied and Computational Harmonic Analysis, 34 (2013): 234-251. [Download]
  6. Christensen, O and S S Goh, Pairs of dual periodic frames. Applied and Computational Harmonic Analysis, 33 (2012): 315-329. [Download]
  7. Goh, S S, B Han and Z Shen, Tight periodic wavelet frames and approximation orders. Applied and Computational Harmonic Analysis, 31 (2011): 228-248. [Download]
  8. Goh, S S, S L Lee and K M Teo, Wavelets, multiwavelets and wavelet frames for periodic functions. In Proceedings of the 6th IMT-GT Conference on Mathematics, Statistics and its Applications (ICMSA2010), 6-21, 3-4 Nov 2010, Kuala Lumpur, Malaysia. [Download]
  9. Goh, S S, T N T Goodman and F Shang, Joint estimation of time delay and Doppler shift for band-limited signals. IEEE Transactions on Signal Processing, 58 (2010): 4583-4594. [Request]
  10. Chen, W and S S Goh, Band-limited refinable functions for wavelets and framelets. Applied and Computational Harmonic Analysis, 28 (2010): 338-345. [Download]
  11. Christensen, O and S S Goh, Pairs of oblique duals in spaces of periodic functions. Advances in Computational Mathematics, 32 (2010): 353-379. [Download]
  12. Goh, S S, T N T Goodman and S L Lee, Hybrid spline frames. Mathematics of Computation, 78 (2009): 1537-1551. [Download]
  13. Goh, S S, T N T Goodman and S L Lee, Constructing tight frames of multivariate functions. Journal of Approximation Theory, 158 (2009): 49-68. [Download]
  14. Goh, S S and K M Teo, Extension principles for tight wavelet frames of periodic functions. Applied and Computational Harmonic Analysis, 25 (2008): 168-186. [Download]
  15. Goh, S S, Wavelet bases for Hilbert spaces of functions. Complex Variables and Elliptic Equations, 52 (2007): 245-260. [Request]
  16. Goh, S S, T N T Goodman and S L Lee, Causality properties of refinable functions and sequences. Advances in Computational Mathematics, 26 (2007): 231-250. [Download]
  17. Goh, S S and T N T Goodman, Uncertainty principles in Banach spaces and signal recovery. Journal of Approximation Theory, 143 (2006): 26-35. [Download]
  18. Goh, S S and K M Teo, Wavelet frames and shift-invariant subspaces of periodic functions. Applied and Computational Harmonic Analysis, 20 (2006): 326-344. [Download]
  19. Goh, S S, Z Y Lim and Z Shen, Symmetric and antisymmetric tight wavelet frames. Applied and Computational Harmonic Analysis, 20 (2006): 411-421. [Download]
  20. Goh, S S and T N T Goodman, Inequalities on time-concentrated or frequency-concentrated functions. Advances in Computational Mathematics, 24 (2006): 333-351. [Download]
  21. Pallawala, P M D S, W Hsu, M L Lee and S S Goh, Automated microaneurysm segmentation and detection using generalized eigenvectors. In Proceedings of the IEEE Workshop on Application of Computer Vision (WACV), 322-327, 5-7 Jan 2005, Colorado, United States. [Download]
  22. Goh, S S and T N T Goodman, Uncertainty principles and asymptotic behavior. Applied and Computational Harmonic Analysis, 16 (2004): 19-43. [Download]
  23. Goodman, T N T and S S Goh, Uncertainty principles and optimality on circles and spheres. In Advances in Constructive Approximation, eds. M Neamtu and E B Saff, 207-218, Nashboro Press, 2004. [Download]
  24. Goh, S S and C A Micchelli, Uncertainty principles in Hilbert spaces. Journal of Fourier Analysis and Applications, 8 (2002): 335-373. [Download]
  25. Goh, S S and C H Yeo, Uncertainty products of local periodic wavelets. Advances in Computational Mathematics, 13 (2000): 319-333. [Download]
  26. Goh, S S and K M Teo, An algorithm for constructing multidimensional biorthogonal periodic multiwavelets. Proceedings of the Edinburgh Mathematical Society, 43 (2000): 633-649. [Download]
  27. Goh, S S, Q Jiang and T Xia, Construction of biorthogonal multiwavelets using the lifting scheme. Applied and Computational Harmonic Analysis, 9 (2000): 336-352. [Download]
  28. Goh, S S, S L Lee and K M Teo, Multidimensional periodic multiwavelets. Journal of Approximation Theory, 98 (1999): 72-103. [Download]
  29. Jiang, Q, S S Goh and Z Lin, Local discriminant time-frequency atoms for signal classification. Signal Processing, 72 (1999): 47-52. [Request]
  30. Goh, S S and T Xia, On the design of perfect reconstruction multiwavelet filter banks. In Proceedings of the IEEE-EURASIP Workshop on Nonlinear Signal and Image Processing (NSIP'99), 779-783, 20-23 Jun 1999, Antalya, Turkey. [Download]
  31. Goh, S S, S L Lee and W S Tang, From cardinal Hermite splines to multiwavelets. In Advances in Wavelets, ed. K S Lau, 163-185, Springer-Verlag, 1999. [Download]
  32. Jiang, Q, S S Goh, N C Lim and Z Lin, Selection of initial parameters for signal representation by adaptive wavelets. Optical Engineering, 37 (1998): 2613-2619. [Request]
  33. Goh, S S and V B Yap, Matrix extension and biorthogonal multiwavelet construction. Linear Algebra and Its Applications, 269 (1998): 139-157. [Download]
  34. Goh, S S, Functionals of higher derivative type. Journal of the London Mathematical Society, 58 (1998): 111-126. [Request]
  35. Goh, S S, S L Lee, Z Shen and W S Tang, Construction of Schauder decomposition on Banach spaces of periodic functions. Proceedings of the Edinburgh Mathematical Society, 41 (1998): 61-91. [Request]
  36. Goh, S S, S L Lee, Z Shen and W S Tang, Multilevel projections on spaces of periodic functions. In Proceedings of the Second Asian Mathematical Conference 1995, eds. S Tangmanee and E Schulz, 22-29, World Scientific, 1998. [Request]
  37. Goh, S S, S L Lee and H H Tan, Orthogonal expansions and multilevel algorithms. In Proceedings of the International Conference on Functional Analysis and Global Analysis (20-26 October 1996), eds. T Sunada and P W Sy, 88-96, Springer-Verlag, 1997. [Request]
  38. Tan, K C, E C Tan and S S Goh, Counterexamples to a conjecture for characterising higher rank ambiguities. IEEE Transactions on Signal Processing, 44 (1996): 1028-1029. [Request]
  39. Tan, K C, S S Goh and E C Tan, A study of the rank ambiguity issues in direction-of-arrival estimation. IEEE Transactions on Signal Processing, 44 (1996): 880-887. [Request]
  40. Goh, S S and I G H Ong, Reconstruction of bandlimited signals from irregular samples. Signal Processing, 46 (1995): 315-329. [Request]
  41. Goh, S S, Displacements in wavelet decomposition of images. Signal Processing, 44 (1995): 27-38. [Request]
  42. Goh, S S, Support points and double poles. Proceedings of the American Mathematical Society, 122 (1994): 463-468. [Request]
  43. Goh, S S, On the two-functional conjecture for univalent functions. Complex Variables. Theory and Application, 20 (1992): 197-206. [Request]

Edited Volumes

  1. Mathematics and Computation in Imaging Science and Information Processing, eds. S S Goh, A Ron and Z Shen, Lecture Notes Series, Institute for Mathematical Sciences, National University of Singapore, Vol. 11, World Scientific, 2007.
  2. Gabor and Wavelet Frames, eds. S S Goh, A Ron and Z Shen, Lecture Notes Series, Institute for Mathematical Sciences, National University of Singapore, Vol. 10, World Scientific, 2007.

Say Song Goh
Department of Mathematics
National University of Singapore
10 Kent Ridge Crescent
Singapore 119260
Republic of Singapore

matgohss@nus.edu.sg

(65) 6516-7811 (tel)
(65) 6779-5452 (fax)

Last Modified: 23 July 2014


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