高階重采樣濾波器的多項(xiàng)式近似實(shí)現(xiàn)
Polynomial approximate implementation of high order resampling filter
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摘要: 可變載頻帶限信號(hào)的重采樣,一般歸結(jié)為按轉(zhuǎn)換比P/Q(P為內(nèi)插比,Q為抽取比)對(duì)原采樣序列做內(nèi)插和抽取。當(dāng)P值很大時(shí),需要多路內(nèi)插濾波器,由于抗鏡像的需要,濾波器系數(shù)矩陣非常龐大,使得高階重采樣難以實(shí)現(xiàn)。該文提出一種多項(xiàng)式近似濾波器的方法,用一組低階多項(xiàng)式近似內(nèi)插濾波器系數(shù)矩陣,簡(jiǎn)化了濾波器的結(jié)構(gòu),運(yùn)算效率高,且內(nèi)插延遲可任意改變。計(jì)算機(jī)仿真的結(jié)果表明:該結(jié)構(gòu)適用于可變延遲的高階帶限內(nèi)插濾波器。在一定條件下,誤差在容許的范圍之內(nèi)。
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關(guān)鍵詞:
- 多項(xiàng)式近似濾波器; 重采樣; 帶限內(nèi)插
Abstract: The resampling of the passband signal with variable frequency is likely implemented by interpolating and decimating the original sequence according to the converting ratio (P/Q). When the value of P is very large, the multiple interpolating filters will be required, and due to anti-image frequency filtering, the coefficient matrix of filters are very complex, which results in the resampling difficult to implement. This paper presents a method of the Polynomical Approximate Filtering (PAF). It uses a group of coefficient matrixed for low-order PAF, with efficient operation and variable interpolating delay. The computer simulation show that it is suitable to the high order interpolating filters with variable delay. In some cases, the tolerance is within the allowable range. -
高志成,肖先賜,變載頻帶通信號(hào)的多速率采樣,系統(tǒng)工程與電子技術(shù).2000,22(1),47-49[2]C.W. Farrow, A continously variable digital delay element, Proc, IEEE Int. Symp. Cir. And Syst. Espoo, Finland, June 6-9, 1988, 3, 2641-2645.[3]宗孔德,多抽樣率信號(hào)處理,北京,清華大學(xué)出版社,1996年,89-106.[4]C. Dick, F. Harris, FPGA Imerpolators using polynomial filters, Proc, ICSPAT, Toromto. Canada.1998, 684 688. -
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