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Conditions for Lth-...
Conditions for Lth-band filters of order 2N as cascades of identical linear-phase FIR spectral factors of order N
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- Eghbali, Amir (författare)
- Linköpings universitet,Elektroniksystem,Tekniska högskolan
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- Saramaki, Tapio (författare)
- Tampere University of Technology, Finland
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- Johansson, Håkan (författare)
- Linköpings universitet,Elektroniksystem,Tekniska högskolan
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(creator_code:org_t)
- Elsevier, 2014
- 2014
- Engelska.
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Ingår i: Signal Processing. - : Elsevier. - 0165-1684 .- 1872-7557. ; 97:April
- Relaterad länk:
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https://urn.kb.se/re...
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visa fler...
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https://doi.org/10.1...
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Abstract
Ämnesord
Stäng
- This paper presents formulas for the number of optimization parameters (degrees of freedom) when designing Type I linear-phase finite-length impulse response (FIR) Lth-band filters of order 2N as cascades of identical linear-phase FIR spectral factors of order N. We deal with two types of degrees of freedom referred to as (i) the total degrees of freedom D-T, and (ii) the remaining degrees of freedom D-R. Due to the symmetries or antisymmetries in the impulse responses of the spectral factors, D-T roughly equals N/2. Some of these parameters are specifically needed to meet the Lth-band conditions because, in an Lth-band filter, every Lth coefficient is zero and the center tap equals 1/L. The remaining D-R parameters can then be used to improve the stopband characteristics of the overall Lth-band filter. We derive general formulas for D-R with given pairs of L and N. It is shown that for a fixed L, the choices of N, in a close neighborhood, may even decrease D-R despite increasing the arithmetic complexity, order, and the delay.
Nyckelord
- Pulse shaping; Lth-band filters; Spectral factors; FIR filters; Linear-phase
- TECHNOLOGY
- TEKNIKVETENSKAP
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- ref (ämneskategori)
- art (ämneskategori)
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