Abstract
In this chapter we consider solutions of a linear set of equations using some of the concepts discussed in Chapter 4. In addition, we introduce the concepts of a vector space, rank of a matrix, and so on. We end the chapter with a discussion of various transformations that are popular in the digital signal processing area.
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References
Agarwal, R. C. and C. S. Burrus (1975), Number Theoretic Transforms to Implement Fast Digital Convolutions, Proceedings of the IEEE, Vol. 63, pp. 550–560.
Ahmed, N. and K. R. Rao (1975), Orthogonal Transforms for Digital Signal Processing, Springer-Verlag, New York.
Bellman, R. (1960), Introduction to Matrix Analysis, McGraw-Hill, New York.
Byrd, R. H. and D. A. Payne, Convergence of the Iteratively Reweighted Least Squares Algorithm for Robust Regression, The Johns Hopkins University, Baltimore, MD, Technical Report 313, 1979.
Claerbout, J. R. and F. Muir (1973), Robust Modelling with Erratic Data, Geophysics, Vol. 38, pp. 826–844.
Cooley, J. W. and R. W. Tukey (1965), An Algorithm for Machine Computation of Complex Fourier Series, Mathematics of Computation, Vol. 19, 297–301.
Durbin, J. (1960), The Fitting of Time Series Models, Rev. Inst. Int. Statist., Vol. 28, 233–243.
Hohn, F. E. (1960), Elementary Matrix Algebra, Macmillan, New York.
Oppenheim, A. V. and R. W. Schafer (1975), Digital Signal Processing, Prentice-Hall, Englewood Cliffs, NJ.
Papoulis, A. (1962), The Fourier Integral and Its Applications, McGraw-Hill, New York.
Rao, C. R. and S. K. Mitra (1970), Generalized Inverse of Matrices and Its Applications, John Wiley, New York.
Robinson, E. A. (1967), Multichannel Time Series Analysis with Digital Computer Programs, Holden-Day, San Francisco.
Singleton, R. C. (1969), An Algorithm for Computing the Mixed Radix Fast Fourier Transform, IEEE Transactions on Audio Electroacoustics, Vol. AU-17, pp. 93–109.
Wiggert, D. (1978), Error-Control Coding and Applications, Artech House, Dedham, MA.
Yarlagadda, R. and J. Hershey (1981), Architecture of the Fast Walsh-Hadamard and Fast Fourier Transforms with Charge Transfer Devices, International Journal of Electronics, Vol. 51, pp. 669–681.
Yarlagadda, R., J. B. Bednar, and T. Watt (1985), Fast Algorithms for L P Deconvolution, IEEE Transactions on Acoustics, Speech, and Signal Processing, Vol. 33, pp. 174–182.
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© 1986 Plenum Press, New York
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Hershey, J.E., Rao Yarlagadda, R.K. (1986). Matrix Equations and Transformations. In: Data Transportation and Protection. Applications of Communications Theory. Springer, Boston, MA. https://doi.org/10.1007/978-1-4613-2195-8_5
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DOI: https://doi.org/10.1007/978-1-4613-2195-8_5
Publisher Name: Springer, Boston, MA
Print ISBN: 978-1-4612-9290-6
Online ISBN: 978-1-4613-2195-8
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