外文翻譯_外文文獻(xiàn)_英文文獻(xiàn)_iir數(shù)字濾波器的設(shè)計(jì)-wenkub.com
2025-08-03 19:55 本頁(yè)面
【正文】 不像IIR數(shù)字濾波器設(shè)計(jì)，F(xiàn)IR濾波器的設(shè)計(jì)沒有任何的模擬濾波器的設(shè)計(jì)連接。數(shù)字傳遞函數(shù)導(dǎo)出的形式下（s）是由記背后的傳遞函數(shù)模擬原型哈（s）轉(zhuǎn)換成數(shù)字原居民的基本思想傳遞函數(shù)G（z）是一個(gè)適用于從S 域映射到Z域，使模擬頻率的基本屬性響應(yīng)將被保留。（b）他們通常產(chǎn)量封閉形式的解決方案。但是，如果IIR濾波器的群延遲是由全通均衡器級(jí)聯(lián)與它扳平，然后在計(jì)算儲(chǔ)蓄可能不再是顯著[Rab75]。在一般情況下，F(xiàn)IR濾波器的實(shí)現(xiàn)需要每個(gè)輸出樣本約NFIR乘法，而每IIR濾波器2NIIR一輸出示例乘法要求。對(duì)于IIR數(shù)字濾波器的設(shè)計(jì)，即原傳遞函數(shù)是一個(gè)真正合理的功能。由于所有的過濾器設(shè)計(jì)技術(shù)的規(guī)范化發(fā)展和角頻率來看，臨界頻率的sepcified之前需要一個(gè)特定的過濾器設(shè)計(jì)算法可以應(yīng)用于正常化。在這里，在通帶內(nèi)規(guī)模最大的價(jià)值被假定為團(tuán)結(jié)，最大通帶偏差，表示為1 /，是由通帶中的最低值所規(guī)模。請(qǐng)注意，數(shù)字濾波器的頻率響應(yīng)是周期函數(shù)，以及幅度響應(yīng)的實(shí)時(shí)數(shù)字濾波器系數(shù)是一個(gè)偶函數(shù)的。此外，指定一個(gè)過渡帶之間的通帶和阻帶允許的幅度下降順利。一個(gè)發(fā)展一個(gè)變現(xiàn)的近似值，這些過濾器的方法是截?cái)嗟拿}沖響應(yīng)，如式所示。全通相位均衡器的設(shè)計(jì)接受了最近幾年，相當(dāng)數(shù)??量的關(guān)注。如過濾器的模擬案件，無論是規(guī)模和/或相位（延遲）響應(yīng)對(duì)于大多數(shù)應(yīng)用程序指定一個(gè)數(shù)字濾波器for the設(shè)計(jì)。第二個(gè)問題是要確定的FIR或IIR數(shù)字濾波器是設(shè)計(jì)。最后，我們考慮的IIR計(jì)算機(jī)輔助設(shè)計(jì)數(shù)字濾波器。 首先，我們回顧與濾波器設(shè)計(jì)問題相關(guān)的一些問題。然后G（z）有所值，下一步就是實(shí)現(xiàn)在一個(gè)合適的過濾器結(jié)構(gòu)形式。IIR Digital Filter Design An important step in the development of a digital filter is the determination of a realizable transfer function G(z) approximating the given frequency response specifications. If an IIR filter is desired,it is also necessary to ensure that G(z) is stable. The process of deriving the transfer function G(z) is called digital filter design. After G(z) has been obtained, the next step is to realize it in the form of a suitable filter structure. In chapter 8,we outlined a variety of basic structures for the realization of FIR and IIR transfer functions. In this chapter,we consider the IIR digital filter design problem. The design of FIR digital filters is treated in chapter 10. First we review some of the issues associated with the filter design problem. A widely used approach to IIR filter design based on the conversion of a prototype analog transfer function to a digital transfer function is discussed next. Typical design examples are included to illustrate this approach. We then consider the transformation of one type of IIR filter transfer function into another type, which is achieved by replacing the plex variable z by a function of z. Four monly used transformations are summarized. Finally we consider the puteraided design of IIR digital filter. To this end, we restrict our discussion to the use of matlab in determining the transfer functions. preliminary considerations There are two major issues that need to be answered before one can develop the digital transfer function G(z). The first and foremost issue is the development of a reasonable filter frequency response specification from the requirements of the overall system in which the digital filter is to be employed. The second issue is to determine whether an FIR or IIR digital filter is to be designed. In the section ,we examine these two issues first . Next we review the basic analytical approach to the design of IIR digital filters and then consider the determination of the filter order that meets the prescribed specifications. We also discuss appropriate scaling of the transfer function. Digital Filter Specifications As in the case
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