Abstract
In Chapter 1 it was stated that three applications of orthogonal transform would be studied. The application studied in this chapter concerns the classical signal processing technique known as Wiener filtering [1]. We will show that orthogonal transforms can be used to extend Wiener filtering to the processing of discrete signals with emphasis on reduction of computational requirements.
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References
Davenport, W. B., Jr.: Random Signals and Noise. New York: McGraw-Hill, 1968.
Pratt, W. K.: Generalized Wiener Filtering Computation Techniques. IEEE Trans. Computers C-21 (1972) 636–641.
Pearl, J.: Basis Restricted Transformations and Performance Measures for Spectral Representation. IEEE Trans. Information Theory IT-17 (1971) 751–752.
—, Walsh Processing of Random Signals. IEEE Trans. Electromagnetic Compatability (special issue) EMC-13 (1971) 137–141.
Ahmed, N., Natarajan, T., and Rao, K. R.: Discrete Cosine Transform. IEEE Trans. Computers C-23 (1974) 90–93.
Grenander, V., and Szego, G.: Toeplitz Forms and Their Applications. Berkeley, Los Angeles: Univ. of California Press, 1958.
Andrews, H. C.: Computer Techniques in Image Processing. New York, London: Academic Press, 1970.
Pratt, W. K.: Linear and Nonlinear Filtering in the Walsh Domain. IEEE Trans. Electromagnetic Compatability (special issue) EMC-13 (1971) 38–42.
Several articles in the Proceedings of the 1970–1974 Symposia on Applications of Walsh Functions.
Andrews, H. C., et al.: Image Processing by Digital Computer. IEEE Spectrum 9, July 1972, 20–32.
Pratt, W. K.: Walsh Functions in Image Processing and Two-Dimensional Filtering. Proc. 1972 Symp. Applications of Walsh Functions, 14-22.
Fukunaga, K.: Introduction to Statistical Pattern Recognition. New York, London: Academic Press, 1972.
Hildebrand, F. B.: Methods of Applied Mathematics. Englewood Cliffs, N. J.: Prentice-Hall, 1952.
Bellman, R.: Introduction to Matrix Analysis. New York, London: McGraw-Hill, 1960.
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Ahmed, N., Rao, K.R. (1975). Generalized Wiener Filtering. In: Orthogonal Transforms for Digital Signal Processing. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-45450-9_8
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DOI: https://doi.org/10.1007/978-3-642-45450-9_8
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-45452-3
Online ISBN: 978-3-642-45450-9
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