Design of nonrecursive digital filters using the ultraspherical window function

作     者：Bergen, SWA Antoniou, A 

作者机构：Univ Victoria Dept Elect & Comp Engn Victoria BC V8W 3P6 Canada 

出 版 物：《EURASIP JOURNAL ON APPLIED SIGNAL PROCESSING》 (EURASIP信号处理进展杂志)

年 卷 期：2005年第2005卷第12期

页      面：1910-1922页

核心收录：

学科分类：0808[工学-电气工程] 0809[工学-电子科学与技术（可授工学、理学学位）] 08[工学] 

主　　题：nonrecursive digital filters FIR filters window functions ultraspherical window digital differentiators Hilbert transformers 

摘      要：An efficient method for the design of nonrecursive digital filters using the ultraspherical window function is proposed. Economies in computation are achieved in two ways. First, through an efficient formulation of the window coefficients, the amount of computation required is reduced to a small fraction of that required by standard methods. Second, the filter length and the independent window parameters that would be required to achieve prescribed specifications in lowpass, highpass, bandpass, and bandstop filters as well as in digital differentiators and Hilbert transformers are efficiently determined through empirical formulas. Experimental results demonstrate that in many cases the ultraspherical window yields a lower-order filter relative to designs obtained using windows like the Kaiser, Dolph-Chebyshev, and Saramdki windows. Alternatively, for a fixed filter length, the ultraspherical window yields reduced passband ripple and increased stopband attenuation relative to those produced when using the alternative windows.