Publications

  1. Christensen, O, S S Goh, H O Kim and R Y Kim, Translation partitions of unity, symmetry properties, and Gabor frames. Advances in Computational Mathematics, 47:49 (2021).
  2. Christensen, O and S S Goh, Explicit construction of frames and pairs of dual frames on locally compact abelian groups. Sampling Theory, Signal Processing, and Data Analysis, 19:4 (2021).
  3. Goh, S S, T N T Goodman and S L Lee, Orthogonal polynomials, biorthogonal polynomials and spline functions. Applied and Computational Harmonic Analysis, 52 (2021): 141-164.
  4. Christensen, O and S S Goh, The unitary extension principle for locally compact abelian groups with co-compact subgroups. Proceedings of the American Mathematical Society, 149 (2021): 1189-1202.
  5. Christensen, O and S S Goh, The unitary extension principle on locally compact abelian groups. Applied and Computational Harmonic Analysis, 47 (2019): 1-29.
  6. Christensen, O and S S Goh, Construction of scaling partitions of unity. Frontiers in Applied Mathematics and Statistics, Mathematics of Computation and Data Science section, 3:21 (2017).
  7. Goh, S S, T N T Goodman and S L Lee, Appell sequences, continuous wavelet transforms and series expansions. Applied and Computational Harmonic Analysis, 43 (2017): 317-345.
  8. Christensen, O and S S Goh, Fourier-like frames on locally compact abelian groups. Journal of Approximation Theory, 192 (2015): 82-101.
  9. 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.
  10. 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.
  11. 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.
  12. 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.
  13. 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.
  14. Christensen, O and S S Goh, Pairs of dual periodic frames. Applied and Computational Harmonic Analysis, 33 (2012): 315-329.
  15. Goh, S S, B Han and Z Shen, Tight periodic wavelet frames and approximation orders. Applied and Computational Harmonic Analysis, 31 (2011): 228-248.
  16. 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.
  17. 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.
  18. Chen, W and S S Goh, Band-limited refinable functions for wavelets and framelets. Applied and Computational Harmonic Analysis, 28 (2010): 338-345.
  19. Christensen, O and S S Goh, Pairs of oblique duals in spaces of periodic functions. Advances in Computational Mathematics, 32 (2010): 353-379.
  20. Goh, S S, T N T Goodman and S L Lee, Hybrid spline frames. Mathematics of Computation, 78 (2009): 1537-1551.
  21. 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.
  22. 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.
  23. Goh, S S, Wavelet bases for Hilbert spaces of functions. Complex Variables and Elliptic Equations, 52 (2007): 245-260.
  24. 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.
  25. Goh, S S and T N T Goodman, Uncertainty principles in Banach spaces and signal recovery. Journal of Approximation Theory, 143 (2006): 26-35.
  26. 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.
  27. Goh, S S, Z Y Lim and Z Shen, Symmetric and antisymmetric tight wavelet frames. Applied and Computational Harmonic Analysis, 20 (2006): 411-421.
  28. Goh, S S and T N T Goodman, Inequalities on time-concentrated or frequency-concentrated functions. Advances in Computational Mathematics, 24 (2006): 333-351.
  29. 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.
  30. Goh, S S and T N T Goodman, Uncertainty principles and asymptotic behavior. Applied and Computational Harmonic Analysis, 16 (2004): 19-43.
  31. 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.
  32. Goh, S S and C A Micchelli, Uncertainty principles in Hilbert spaces. Journal of Fourier Analysis and Applications, 8 (2002): 335-373.
  33. Goh, S S and C H Yeo, Uncertainty products of local periodic wavelets. Advances in Computational Mathematics, 13 (2000): 319-333.
  34. 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.
  35. 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.
  36. Goh, S S, S L Lee and K M Teo, Multidimensional periodic multiwavelets. Journal of Approximation Theory, 98 (1999): 72-103.
  37. Jiang, Q, S S Goh and Z Lin, Local discriminant time-frequency atoms for signal classification. Signal Processing, 72 (1999): 47-52.
  38. 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.
  39. 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.
  40. 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.
  41. Goh, S S and V B Yap, Matrix extension and biorthogonal multiwavelet construction. Linear Algebra and Its Applications, 269 (1998): 139-157.
  42. Goh, S S, Functionals of higher derivative type. Journal of the London Mathematical Society, 58 (1998): 111-126.
  43. 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.
  44. 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.
  45. 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.
  46. 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.
  47. 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.
  48. Goh, S S and I G H Ong, Reconstruction of bandlimited signals from irregular samples. Signal Processing, 46 (1995): 315-329.
  49. Goh, S S, Displacements in wavelet decomposition of images. Signal Processing, 44 (1995): 27-38.
  50. Goh, S S, Support points and double poles. Proceedings of the American Mathematical Society, 122 (1994): 463-468.
  51. Goh, S S, On the two-functional conjecture for univalent functions. Complex Variables. Theory and Application, 20 (1992): 197-206.

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.
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