Abstract | ||
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In this paper we propose a new design method for optimal compaction gain FIR filters of a finite order. Starting from the odd polyphase component r(1), r(3),…, r(2K − 1) of the input correlation sequence we find a suitable extension to an infinite sequence re(k), such that the corresponding spectrum Se(ω) is a line spectrum with K1 (K1 ≤ (K + l)/2) lines. In quite general conditions it is possible to design the optimal compaction filter H(ejω) of order 2K — 1 such that it has zeros at the line frequencies of Se(ω) and |H(ejω)|2 obeys the Nyquist(2) condition. The analytical method presented in [1] can be easily shown to be a particular case in this framework, but our method finds the optimal solution in some of the cases when [1] fails. |
Year | Venue | Field |
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2000 | EUSIPCO | Polyphase system,Digital filter,Optimal control,Mathematical analysis,Control theory,Sequence,Optimal design,Nyquist stability criterion,Nyquist–Shannon sampling theorem,Finite impulse response,Mathematics |
DocType | ISBN | Citations |
Conference | 978-952-1504-43-3 | 1 |
PageRank | References | Authors |
0.37 | 0 | 3 |
Name | Order | Citations | PageRank |
---|---|---|---|
Tabus, Ioan | 1 | 35 | 4.68 |
riitta niemisto | 2 | 3 | 1.44 |
Astola, Jaakko | 3 | 5 | 2.89 |