Synchronous And Asynchronous Algorithms For Matrix Transposition On MCAP

Nasser G. Azari; Adam W. Bojanczyk; Soo-Young Lee

doi:10.1117/12.948511

Abstract

Matrix transposition is one of the major tasks in image and signal processing and matrix decompositions. This paper presents algorithms for transposing a matrix on a mesh-connected array processor (MCAP). These algorithms make a very efficient use of the processing elements (PE's) in parallel. We discuss both synchronous and asynchronous algorithms. In the synchronized approach algorithms use a global clock to synchronize the communications between PE's. The number of time units required by synchronous algorithms for transposing an m x n matrix (n ≥ m) on an n x n MCAP is 2(n - 1). The synchronous algorithms eliminate simultaneous requests for using channels between PE's. Clock skews and delays are inevitable problems when we have a large array size (large n). An asynchronous (self-time) approach is proposed to circumvent this problem. The feasibility of the asynchronous algorithm have been demonstrated by the simulation of the algorithm for different sizes of matrices.

Citation Download Citation

Nasser G. Azari, Adam W. Bojanczyk, Soo-Young Lee, "Synchronous And Asynchronous Algorithms For Matrix Transposition On MCAP", Proc. SPIE 0975, Advanced Algorithms and Architectures for Signal Processing III, (23 February 1988); doi: 10.1117/12.948511; https://doi.org/10.1117/12.948511

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