Synchronous And Asynchronous Algorithms For Matrix Transposition On MCAP

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

doi:10.1117/12.948511

23 February 1988 Synchronous And Asynchronous Algorithms For Matrix Transposition On MCAP

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

Proceedings Volume 0975, Advanced Algorithms and Architectures for Signal Processing III; (1988) https://doi.org/10.1117/12.948511
Event: 32nd Annual International Technical Symposium on Optical and Optoelectronic Applied Science and Engineering, 1988, San Diego, CA, United States

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, and 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); https://doi.org/10.1117/12.948511

ACCESS THE FULL ARTICLE

INSTITUTIONAL
Select your institution to access the SPIE Digital Library.

SELECT YOUR INSTITUTION

PERSONAL
Sign in with your SPIE account to access your personal subscriptions or to use specific features such as save to my library, sign up for alerts, save searches, etc.

PERSONAL SIGN IN

No SPIE Account? Create one

PURCHASE THIS CONTENT

SUBSCRIBE TO DIGITAL LIBRARY

50 downloads per 1-year subscription

Members: $195

Non-members: $335 ADD TO CART

25 downloads per 1 - year subscription

Members: $145

Non-members: $250 ADD TO CART

PURCHASE SINGLE ARTICLE

Includes PDF, HTML & Video, when available