Title | ||
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A Novel Systematic Approach For Synthesizing Multiplication-Free Highly-Selective Fir Half-Band Decimators And Interpolators |
Abstract | ||
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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 |
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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 |
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Tapio Saramaki | 1 | 206 | 28.51 |
Juha Yli-Kaakinen | 2 | 212 | 25.99 |