Graduate Thesis Or Dissertation

 

Fully efficient pipelined VLSI arrays for solving toeplitz matrices Público Deposited

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  • Fully efficient systolic arrays for the solution of Toeplitz matrices using Schur algorithm [1] have been obtained. By applying clustering mapping method [2], the complexity of the algorithm is 0(n) and it requires n/2 processing elements as opposed to n processing elements developed elsewhere [1]. The motivation of this thesis is to obtain efficient pipeline arrays by using the synthesis procedure to implement Toeplitz matrix solution. Furthermore, we will examine pipeline structures for the Toeplitz system factorization and back-substitution by obtaining clustering and Multi-Rate Array structures. These methods reduce the number of processing elements and enhance the computational speed. Comparison and advantage of these methods to other method will be presented.
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