Signed-digit arithmetic for optical computing: digit grouping and pixel assignment for spatial encoding

Abdallah K. Cherri

doi:10.1117/1.602118

1 March 1999 Signed-digit arithmetic for optical computing: digit grouping and pixel assignment for spatial encoding

Abdallah K. Cherri

Optical Engineering, Vol. 38, Issue 3, (March 1999). https://doi.org/10.1117/1.602118

Novel fully parallel one-step adders that use the redundant signed-digit number representation are proposed for optical computing. A new method for spatially encoding the signed-digit is proposed based on digit grouping and pixel assignment. The scheme of digital grouping of the signed-digit numbers enables a huge reduction of the number of symbolic substitution computation rules involved in the arithmetic computations and consequently increases the speed of arithmetic operations. Furthermore, the proposed spatial encoding scheme effectively increases the space bandwidth product of the spatial light modulators and decreases the size of the matched spatial filters of the optical system.

Citation Download Citation

Abdallah K. Cherri "Signed-digit arithmetic for optical computing: digit grouping and pixel assignment for spatial encoding," Optical Engineering 38(3), (1 March 1999). https://doi.org/10.1117/1.602118

Published: 1 March 1999

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