DWT-References

• Discrete Wavelet Transforms
  • Albert Boggess & Francis J. Narcowich. A First Course in Wavelets with Fourier Analysis. Prentice-Hall (2001).
  • Ingrid Daubechies. Ten Lectures on Wavelets. Society for Industrial and Applied Mathematics (1992).
  • Michael W. Frazier. An Introduction to Wavelets Through Linear Algebra. Springer-Verlag (2001).
  • Barbara Burke Hubbard. The World According to Wavelets. AK Peters, 2nd ed. (1998)
  • Arne Jensen & Anders la Cour-Harbo. Ripples in Mathematics: The Discrete Wavelet Transform. Springer-Verlag (2001).
  • Stéphane Mallat. A Wavelet Tour of Signal Processing, Third Edition: The Sparse Way. Academic Press (2008).
  • Yves Meyer. Ondelettes et opérateurs. Hermann (1990).
  • Martin J. Mohlenkamp & María Cristina Pereyra. Wavelets, Their Friends, and What They Can Do for You. European Mathematical Society (2000).
  • David K. Ruch & Patrick J. Van Fleet. Wavelet Theory: An Elementary Approach with Applications. Wiley (2010).
  • Gilbert Strang. Wavelets and Dilation Equations: A Brief Introduction. SIAM Review, Vol. 31, No. 4. (1989), pp. 614-627.
  • Gilbert Strang & Truong Nguyen. Wavelets and Filter Banks. Wellesley College, 2nd ed. (1996).
  • Patrick Van Fleet. Discrete Wavelet Transformations: An Elementary Approach with Applications. Wiley, 2nd ed. (2019).
  • David F. Walnut. An Introduction to Wavelet Analysis. Birkhäuser (2004).
  • Filip Wasilewski. Wavelet Properties Browser.

• Fourier Analysis
  • M.A. Al-Gwaiz. Sturm-Liouville Theory and its Applications. Springer-Verlag (2008).
  • Rajendra Bhatia. Fourier Series. Mathematical Association of America (2004).
  • Anton Deitmar. A First Course in Harmonic Analysis. Springer-Verlag, 2nd ed. (2005).
  • Thomas W. Körner. Fourier Analysis. Cambridge University Press (1988).
  • Kenneth A. Ross. A Trip from Classical to Abstract Fourier Analysis. Notices of the AMS 61 (2014), pp. 1032-1038.

• Digital Image Processing
  • Rafael C. Gonzalez & Richard E. Woods. Digital Image Processing. Pearson, 3rd ed. (2008).
  • Richard Szeliski. Computer Vision. Springer-Verlag (2011).

• Information Theory
  • David A. Huffman. A Method for the Construction of Minimum-Redundancy Codes. Proceedings of the I.R.E., September 1952, pp. 1098–1101.
  • Paul Penfield & Lloyd Seth. 6.050J Information and Entropy, Spring 2008. (MIT OpenCourseWare: Massachusetts Institute of Technology), http://ocw.mit.edu/courses/electrical-engineering-and-computer-science/6-050j-information-and-entropy-spring-2008 (Accessed 19 Aug, 2014). License: Creative Commons BY-NC-SAPaul Penfield.
  • Benjamin Schumacher. Quantum Coding , PhysRevA Vol. 51 (1995), pp. 2738-47
  • Claude E. Shannon. A Mathematical Theory of Communication. Bell System Technical Journal 27 (1948), pp. 379-423, pp. 623-656.
  • Warren Weaver. Recent Contributions to the Mathematical Theory of Communication (1948).

• Mathematica
  • Roman Maeder. Programming in Mathematica, Addison-Wesley, 2nd ed. (1991).
  • Sal Mangano. Mathematica Cookbook: Building Blocks for Science, Engineering, Finance, Music, and More, O'Reilly (2010).
  • Paul R. Wellin. Programming with Mathematica: An Introduction. Springer-Verlag (2013).

• Linear Algebra and Geometry
  • Thomas Banchoff & John Wermer. Linear Algebra Through Geometry. Springer-Verlag, 2nd ed. (1992).