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具有任意角度（扇形所围成的角度）和任意方向（扇形所取方向）的扇形数字滤波器在图像数据压缩和地质、地震等方面的数据处理中有着广泛的应用。目前，大多数的工作多集中于水平及垂直方向的９０°扇形数字滤波器的设计，因而有必要研究任意方向上的任意角度的扇形数字滤波器的设计方法。本文介绍利用ＭｃＣｌｅｌｌａｎ变换法设计具有垂直、水平及±４５°方向上的任意角度的扇形数字滤波器的设计方法，其中垂直和水平方向上的扇形滤波器的设计包括有近似法和优化法。由于优化法和近似法均以显式公式给出，因而，这些方法设计简单，计算量少。此外，利用该方法还可以设计任意方向上的扇形数字滤波器。
The fan-shaped digital filter with arbitrary angle (the angle formed by the fan shape) and arbitrary direction (the direction taken by the fan shape) has a wide range of applications in image data compression and data processing in geology and earthquake. At present, most work focuses on the design of 90 ° fan-shaped digital filters in horizontal and vertical directions. Therefore, it is necessary to study the design method of fan-shaped digital filters at any angle in any direction. This paper presents a design method for designing a fan-shaped digital filter with a vertical, horizontal and any angle in the direction of ± 45 ° using the McClellan transform method. The design of the fan-shaped filter in the vertical and horizontal directions includes an approximation method and an optimization method. Because both the optimization method and the approximation method are given by explicit formulas, these methods are simple in design and less in calculation. In addition, fan-shaped digital filters in any direction can also be designed using this method.