Roundoff noise of the cascade structure implementation for the filters designed by McClellan transformations

Brian K. Lien

doi:10.1117/12.19491

1 June 1990 Roundoff noise of the cascade structure implementation for the filters designed by McClellan transformations

Brian K. Lien

Author Affiliations +

Proceedings Volume 1244, Image Processing Algorithms and Techniques; (1990) https://doi.org/10.1117/12.19491
Event: Electronic Imaging: Advanced Devices and Systems, 1990, Santa Clara, CA, United States

Abstract

ABSTRACT Because of the easiness of design and efficiency of Implementation, the McClellan transform is by far the most popular and successful method to design multi-dimensional finite impulse response filters for Image Processing. The filters can be implemented efficiently by the directed structure, cascade structure and Chebyshev structure with operators required proportional to N not to N**2. The Chebyshev structure has the best roundoff noise performance, but it has the drawback of large storage required and more complicated architecture. Although the output roundoff noise of the cascade structure is larger than that of the chebyshev structure, they are very close. In this paper we find that the output roundoff noise of the cascade structure can be further reduced and the result structure still has the same efficient implementation. We provide two methods to reduce the output roundoff noise: (1) Utilize the full dynamic range of each stage, and (2) Reduce the possible noise source in each stage. The cascade structure has the advantage of low sensitivity and inherent pipelinability. Also it is very suitable to be implemented by nowadays modular image processing hardware. So with the output roundoff noise reduced, the cascade structure will prove itself to be a suitable structure for the fixed-point implementation of the filters designed by McClellan transformations.

Citation Download Citation

Brian K. Lien "Roundoff noise of the cascade structure implementation for the filters designed by McClellan transformations", Proc. SPIE 1244, Image Processing Algorithms and Techniques, (1 June 1990); https://doi.org/10.1117/12.19491

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