High-Performance Designs for Linear Algebra Operations on Image Processing


  • Madhusudhanan R
  • Augustin J




Salt and Pepper, Adaptive, Pipeline, FIFO, Rank order, Non linear


Numerical linear algebra operations are key primitives in scientific computing. Performance optimizations of such operations have been extensively investigated. With the rapid advances in technology, hardware acceleration of linear algebra applications using field-programmable gate arrays (FPGAs) has become feasible. In this paper, we propose FPGA-based designs for several basic linear algebra operations, including dot product, matrix-vector multiplication, matrix multiplication, and matrix Factorization. By identifying the parameters for each operation, we analyze the trade-offs and propose a high-performance design. In the implementations of the design a convolution filter using dot product, this is especially useful in noise removal. The proposed designs are implemented on Xilinx FPGAs. Experimental results show that our designs scale with the available hardware resources. Also, the performance of our designs compares favorably with that of general-purpose processor-based designs.


Download data is not yet available.

Author Biography

Augustin J

Lecturer Department of ECE Kamaraj College of Engineering and Technology Virudhunagar, India.


1. Zdenek Vasicek, Lukas Sekanina, Novel Hardware Implementation of Adaptive Median Filters 978-1-4244-2277-7/08/ ©2008 IEEE

2. Olli Vainio, Yrjö Neuvo, Steven E. Butner, A Signal Processor for Median-Based Algorithms, IEEE Transactions on Acoustics, Speech, Processing VOL 37. NO. 9, September 1989.

3. V.V. Bapeswara Rao and K. Sankara Rao, A New Algorithm for Real-Time Median Filtering, IEEE Transactions on Acoustics, Speech, Processing VOL ASSP-34. NO. 6, December 1986.

4. M. O. Ahmad and D. Sundararajan, Parallel Implementation of a Median Filtering Algorithm, Int. Symp. on Signals and Systems, 1988.

5. Dobrowiecki Tadeusz, Medián Sz?r?k, Mérés és Automatika, 37. Évf., 1989. 3.szám [6] Xilinx Foundation Series Quick Start Guide, 1991-1997. Xilinx. Inc.