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以馬克龍轉換法設計可調式二維及三維FIR數位濾波器 = Design o...

國立高雄大學電機工程學系碩士班

以馬克龍轉換法設計可調式二維及三維FIR數位濾波器 = Design of Variable Two-dimensional and Three-dimensional FIR Digital Filters by McClellan Transformaton and Least-Squares Mapping

紀錄類型:	書目-語言資料,印刷品 : 單行本
並列題名:	Design of Variable Two-dimensional and Three-dimensional FIR Digital Filters by McClellan Transformaton and Least-Squares Mapping
作者:	陳昱翔,
其他團體作者:	國立高雄大學
出版地:	[高雄市]
出版者:	撰者;
出版年:	民102[2013]
面頁冊數:	87面圖，表格 : 30公分;
標題:	馬克龍轉換法
標題:	McClellan transformation
電子資源:	http://handle.ncl.edu.tw/11296/ndltd/68746701267417052224
附註:	參考書目：面69-72
附註:	102年10月31日公開
摘要註:	在本篇論文中，我們以馬克龍轉換法和最小均方法設計可調式二維及三維FIR濾波器。相較於傳統的轉換法，在本論文中二維子濾波器和一維原型濾波器的頻率特性皆可以做調整，此外，它們皆以同一係數來做調整。此方法也可延伸至三維錐形FIR濾波器之設計，且我們提出三種相關之設計方法。在方法一中，我們以巢狀馬克龍轉換法設計三維錐形濾波器，首先，先設計扇形子濾波器，而圓形子濾波器則用以取代可調頻率響應子濾波器的餘弦項。另外如以直接之方法設計錐形濾波器，廣域傾斜角度之選擇有其困難性，因此我們分別提出第二及第三種方法來設計特定傾斜角度之錐形濾波器。在本論文中，我們提出了包含可調式扇形濾波器、可調式對稱圓形濾波器、可調式任意方向對稱橢圓濾波器和可調式三維錐形濾波器，呈現此方法的有效性和靈活性。 In this thesis, the techniques of McClellan transformation and least-squares mapping are applied to design variable 2-D and 3-D FIR digital filters. Compared with the conventional transformation, the 2-D transformation subfilter and the 1-D prototype filter are designed such that their frequency characteristics are adjustable. Moreover, they are tunable by the same variable parameter, so the variable characteristics of 1-D prototype filters are coincident with those of 2-D subfilters. The stated method is extended to the design of 3-D cone-shaped FIR digital filters and three approaches are proposed. In the first approach, the technique of a nest of McClellan transformations is proposed for the design of 3-D FIR cone-shaped filters. First, a transformation subfilter for fan-type mapping is found. Then the cosine term of a frequency response variable of the above transformation subfilter is replaced by an embedded transformation subfilter which possesses circular contours. While it is difficult to find an unified set of constraints for the design of 3-D transformation subfilters with wide range of inclination degree , for example , the second and third approaches are proposed and each of them can be used for cone-shaped filter design of a specified inclination range. Several examples, including variable fan filters, variable circularly symmetric filters, variable elliptically symmetric filters with arbitrary orientation, and variable 3-D cone-shaped filters are presented to demonstrate the effectiveness and the flexibility of the presented method.

以馬克龍轉換法設計可調式二維及三維FIR數位濾波器 = Design of Variable Two-dimensional and Three-dimensional FIR Digital Filters by McClellan Transformaton and Least-Squares Mapping
陳, 昱翔

以馬克龍轉換法設計可調式二維及三維FIR數位濾波器 = Design of Variable Two-dimensional and Three-dimensional FIR Digital Filters by McClellan Transformaton and Least-Squares Mapping / 陳昱翔撰 - [高雄市] : 撰者, 民102[2013]. - 87面 ; 圖，表格 ; 30公分.
參考書目：面69-72102年10月31日公開.
馬克龍轉換法McClellan transformation

以馬克龍轉換法設計可調式二維及三維FIR數位濾波器 = Design of Variable Two-dimensional and Three-dimensional FIR Digital Filters by McClellan Transformaton and Least-Squares Mapping
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330 $a 在本篇論文中，我們以馬克龍轉換法和最小均方法設計可調式二維及三維FIR濾波器。相較於傳統的轉換法，在本論文中二維子濾波器和一維原型濾波器的頻率特性皆可以做調整，此外，它們皆以同一係數來做調整。此方法也可延伸至三維錐形FIR濾波器之設計，且我們提出三種相關之設計方法。在方法一中，我們以巢狀馬克龍轉換法設計三維錐形濾波器，首先，先設計扇形子濾波器，而圓形子濾波器則用以取代可調頻率響應子濾波器的餘弦項。另外如以直接之方法設計錐形濾波器，廣域傾斜角度之選擇有其困難性，因此我們分別提出第二及第三種方法來設計特定傾斜角度之錐形濾波器。在本論文中，我們提出了包含可調式扇形濾波器、可調式對稱圓形濾波器、可調式任意方向對稱橢圓濾波器和可調式三維錐形濾波器，呈現此方法的有效性和靈活性。 In this thesis, the techniques of McClellan transformation and least-squares mapping are applied to design variable 2-D and 3-D FIR digital filters. Compared with the conventional transformation, the 2-D transformation subfilter and the 1-D prototype filter are designed such that their frequency characteristics are adjustable. Moreover, they are tunable by the same variable parameter, so the variable characteristics of 1-D prototype filters are coincident with those of 2-D subfilters. The stated method is extended to the design of 3-D cone-shaped FIR digital filters and three approaches are proposed. In the first approach, the technique of a nest of McClellan transformations is proposed for the design of 3-D FIR cone-shaped filters. First, a transformation subfilter for fan-type mapping is found. Then the cosine term of a frequency response variable of the above transformation subfilter is replaced by an embedded transformation subfilter which possesses circular contours. While it is difficult to find an unified set of constraints for the design of 3-D transformation subfilters with wide range of inclination degree , for example , the second and third approaches are proposed and each of them can be used for cone-shaped filter design of a specified inclination range. Several examples, including variable fan filters, variable circularly symmetric filters, variable elliptically symmetric filters with arbitrary orientation, and variable 3-D cone-shaped filters are presented to demonstrate the effectiveness and the flexibility of the presented method.
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