一種設(shè)計(jì)近似完全重構(gòu)非均勻余弦調(diào)制濾波器組的新算法

蔣俊正; 江慶; 歐陽(yáng)繕

doi:10.11999/JEIT151260

一種設(shè)計(jì)近似完全重構(gòu)非均勻余弦調(diào)制濾波器組的新算法

doi: 10.11999/JEIT151260 cstr: 32379.14.JEIT151260

基金項(xiàng)目:

國(guó)家自然科學(xué)基金(61261032, 61371186)，廣西自然科學(xué)基金(2013GXNSFBA019264)

計(jì)量
- 文章訪問(wèn)數(shù): 1086
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- 被引次數(shù): 0
出版歷程
- 收稿日期: 2015-11-09
- 修回日期: 2016-06-15
- 刊出日期: 2016-09-19

Novel Method for Designing Near-perfect-reconstruction Nonuniform Cosine Modulated Filter Banks

Funds:

The National Natural Science Foundation of China (61261032, 61371186), Guangxi Natural Science Foundation (2013GXNSFBA019264)

摘要

摘要: 該文提出了一種設(shè)計(jì)近似完全重構(gòu)非均勻余弦調(diào)制濾波器組的新算法。針對(duì)現(xiàn)有合并算法中非均勻?yàn)V波器組性能無(wú)法直接控制優(yōu)化的缺點(diǎn)，新算法把非均勻?yàn)V波器組的設(shè)計(jì)問(wèn)題歸納為一個(gè)關(guān)于原型濾波器的無(wú)約束優(yōu)化問(wèn)題，其中目標(biāo)函數(shù)是非均勻?yàn)V波器組傳遞失真與原型濾波器阻帶能量的加權(quán)和，最后利用線性迭代算法求解該優(yōu)化問(wèn)題。理論分析和數(shù)值實(shí)驗(yàn)表明，新算法獲得的非均勻余弦調(diào)制濾波器組比現(xiàn)有算法設(shè)計(jì)的濾波器組整體性能更佳。
- 非均勻?yàn)V波器組 /
- 余弦調(diào)制 /
- 近似完全重構(gòu) /
- 線性迭代算法 /
- 無(wú)約束優(yōu)化
Abstract: This paper proposes a new algorithm to design near-perfect-reconstruction nonuniform Cosine modulated filter banks. Due to the infeasibility of directly controlling the performance of Nonuniform Filter Banks (NUFBs) in the existing combined algorithms, the design problem boils down to an unconstrained optimization problem with respect to the Prototype Filter (PF), which minimizes a weighted sum of the transfer function distortion of the NUFBs and the stopband energy of the PF. The optimization problem can be efficiently solved by utilizing linearizing iterative approach. The theoretical analysis and numerical experiments are carried out to show that compared with the existing methods, the proposed method can lead to NUFBs with better overall performance.
- Nonuniform filter banks /
- Cosine modulation /
- Near-perfect-reconstruction /
- Linearizing iterative approach /
- Unconstrained optimization

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參考文獻(xiàn)(23)

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