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An analytical comparative study of a class of discrete linear basis transforms

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2 Author(s)
Mali, P.C. ; Dept. of Math., Jadavpur Univ., Calcutta, India ; Majumder, D.D.

For suitability to carry out a comparative study of discrete linear basis transforms, a parametric class of these transforms is considered. It is shown that under certain conditions on the parameters, every member of this class is superior to the Walsh-Hadamard transform for first-order stationary Markov process. For high correlation of this process, the class is proved to be inferior to the slant transform. A lower bound of the performance of this class is also found

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Systems, Man and Cybernetics, IEEE Transactions on  (Volume:24 ,  Issue: 3 )