Title
A line spectrum approach for the design of optimum compaction FIR filters
Abstract
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
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, Ioan1354.68
riitta niemisto231.44
Astola, Jaakko352.89