Title
A Novel Systematic Approach For Synthesizing Multiplication-Free Highly-Selective Fir Half-Band Decimators And Interpolators
Abstract
This paper discloses a systematic approach to generating for sampling rate applications multiplication-free linear-phase finite-impulse response half-band litters based on an article by Saramaki, Karema, Ritoniemi, and Tenhunen. This article counts on the following facts. First, the transfer function of such filters is expressible as a sum of the terms (1/2)z(-M) and G(z(2)), where M is odd and is the order of G(z). Second, G(z) is constructed using identical copies of the same sub-filter that are properly interconnected with the aid a few additional adders and tap coefficients. The first step is to quantize in a simple manner the additional tap coefficient values to be a few powers-of-two terms. The second step is to find the sub-filter coefficient values in the same representation forms. This can be accomplished using a very simple quantization technique because the ripple values for the sub-filter are very huge compared to the overall filter. In addition, efficient structures for implementing both the resulting decimators and interpolators are given. An example in the above-mentioned article is included for illustrating the efficiency of the proposed multiplication-free structures compared with the conventional direct-form designs.
Year
DOI
Venue
2006
10.1109/APCCAS.2006.342211
2006 IEEE ASIA PACIFIC CONFERENCE ON CIRCUITS AND SYSTEMS
Keywords
Field
DocType
network synthesis,finite impulse response,transfer function,linear phase,fir filters,adders
Adder,Control theory,Sampling (signal processing),Network synthesis filters,Arithmetic,Electronic engineering,Transfer function,Multiplication,Quantization (signal processing),Finite impulse response,Ripple,Mathematics
Conference
Citations 
PageRank 
References 
3
0.51
2
Authors
2
Name
Order
Citations
PageRank
Tapio Saramaki120628.51
Juha Yli-Kaakinen221225.99