EN
Low-Error Reconfigurable Fixed-Width Multiplier for Image Processing Applications
Abstract
Compensating the error using additional circuitry is mandatory in a low-error fixed-width multiplier. Instead of compensating the error, reconfiguring n-bit fixed-width multiplier to n/2-bit error-free full-width multiplier using decomposed multiplication is proposed in this paper. The decomposed block multiplication using an area-efficient New Bit Pair Recoding (NBPR) algorithm in fixed-width mode shows a relatively lesser truncation error than existing truncated multipliers. Reconfigurable 16x16 NBPR multiplier in three different modes (8x8, 16x8,16x16) with a fixed 16-bit product is verified on the TSMC 65nm CMOS standard cell library. The experimental results show that the NBPR multiplier consumes a lesser area than standard Booth multipliers. Evaluating the proposed multiplier in imaging shows improved PSNR with minimal error compared to other fixed-width multipliers
Keywords
References
- [1]. Y.C. Lim, "Single precision multiplier with reduced circuit complexity for signal processing applications", IEEE Trans. Comp., vol. 41, no. 10, pp. 1333-1336, 1992.
- [2]. M. J. Schulte, J. E. Stine, and J. G. Jansen, “Reduced power dissipation through truncated multiplication,” in Proc. IEEE Alessandro Volta Memorial Workshop on Low Power Design, Como, Italy, pp. 61–69,1999.
- [3]. J. M. Jou, S. R.Kuang, R. D. Chen, “Design of low-error fixed-width multiplier for DSP applications,” IEEE Trans. Circuits Syst. II, Analog Digit. Signal. Process., vol. 46, no. 6, pp. 836–842, Jun. 1999.
- [4]. S.J. Jou, H.H. Wang, "Fixed-width multiplier for DSP application", Proc. IEEE Int. Symp. Computer Design, pp. 318-332, 2000.
- [5]. Y. H. Chen, C. W. Lu, H. C. Chiang, T. Y. Chang and C. Hsia, "A low-error statistical fixed-width multiplier and its applications," 2012 International Symposium on Instrumentation & Measurement, Sensor Network and Automation (IMSNA), Sanya, pp. 39-43, 2012.
- [6]. L. D. Van, S. S. Wang, W. S. Feng, “Design of the lower-error fixed-width multiplier and its application,” IEEE Trans. Circuits Syst. II, Analog Digit. Signal. Process., vol. 47, pp. 1112–1118, Oct. 2000.
- [7]. E. J. King and E. E. Swartzlander Jr., “Data-dependent truncation scheme for parallel multipliers,” in Proc. 31st Asilomar Conf. Signals, Systems, and Computers, vol. 2, Pacific Grove, CA, pp. 1178–1182,1997.
- [8]. E. E. Swartzlander Jr., “Truncated multiplication with approximate rounding,” in Proc. 33rd Asilomar Conf. Signals, Systems, and Computers, vol. 2, pp. 1480–1483, 1999.
Details
Primary Language
English
Subjects
Engineering
Journal Section
Research Article
Publication Date
March 1, 2020
Submission Date
June 21, 2018
Acceptance Date
July 28, 2019
Published in Issue
Year 2020 Volume: 33 Number: 1
APA
S, S., & Jeyakumar, J. J. N. (2020). Low-Error Reconfigurable Fixed-Width Multiplier for Image Processing Applications. Gazi University Journal of Science, 33(1), 90-104. https://doi.org/10.35378/gujs.434806
AMA
1.S S, Jeyakumar JJN. Low-Error Reconfigurable Fixed-Width Multiplier for Image Processing Applications. Gazi University Journal of Science. 2020;33(1):90-104. doi:10.35378/gujs.434806
Chicago
S, Sivanantham, and Jean Jenifer Nesam Jeyakumar. 2020. “Low-Error Reconfigurable Fixed-Width Multiplier for Image Processing Applications”. Gazi University Journal of Science 33 (1): 90-104. https://doi.org/10.35378/gujs.434806.
EndNote
S S, Jeyakumar JJN (March 1, 2020) Low-Error Reconfigurable Fixed-Width Multiplier for Image Processing Applications. Gazi University Journal of Science 33 1 90–104.
IEEE
[1]S. S and J. J. N. Jeyakumar, “Low-Error Reconfigurable Fixed-Width Multiplier for Image Processing Applications”, Gazi University Journal of Science, vol. 33, no. 1, pp. 90–104, Mar. 2020, doi: 10.35378/gujs.434806.
ISNAD
S, Sivanantham - Jeyakumar, Jean Jenifer Nesam. “Low-Error Reconfigurable Fixed-Width Multiplier for Image Processing Applications”. Gazi University Journal of Science 33/1 (March 1, 2020): 90-104. https://doi.org/10.35378/gujs.434806.
JAMA
1.S S, Jeyakumar JJN. Low-Error Reconfigurable Fixed-Width Multiplier for Image Processing Applications. Gazi University Journal of Science. 2020;33:90–104.
MLA
S, Sivanantham, and Jean Jenifer Nesam Jeyakumar. “Low-Error Reconfigurable Fixed-Width Multiplier for Image Processing Applications”. Gazi University Journal of Science, vol. 33, no. 1, Mar. 2020, pp. 90-104, doi:10.35378/gujs.434806.
Vancouver
1.Sivanantham S, Jean Jenifer Nesam Jeyakumar. Low-Error Reconfigurable Fixed-Width Multiplier for Image Processing Applications. Gazi University Journal of Science. 2020 Mar. 1;33(1):90-104. doi:10.35378/gujs.434806