NDLI: Closed-Form FIR Filter Design Based on Convolution Window Spectrum Interpolation

Content Provider	IEEE Xplore Digital Library
Author	Xiangdong Huang Senxue Jing Zhaohua Wang Yan Xu Youquan Zheng
Copyright Year	1991
Abstract	This paper proposes a closed-form linear phase FIR filter design concurrently possessing high efficiency and excellent transfer characteristic. This design is derived from conventional frequency sampling method through replacing its frequency-domain interpolation function with the Fourier spectrum of a convolution window. Meanwhile, this derivation inherently contains a mechanism of synthesizing all possible sub filters into one better FIR filter, which also plays the role of optimizing the transfer characteristic in nature. The above synthesizing process is equivalent to three simple steps, from which a closed-form formula of tap coefficients can be summarized. We further prove the proposed filter's five properties, from which a modified closed-form design without any redundant parameters is also derived. Numerical results show that, the transfer performance of the proposed design is comparable to the mainstream designs (such as WLS method, Parks- McClellan method). Meanwhile, the proposed design can achieve an extremely high efficiency when designing high-order FIR filters.
Sponsorship	IEEE Signal Processing Society
Starting Page	1173
Ending Page	1186
Page Count	14
File Size	3224433
File Format	PDF
ISSN	1053587X
Volume Number	64
Issue Number	5
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	2016-01-01
Publisher Place	U.S.A.
Access Restriction	One Nation One Subscription (ONOS)
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Finite impulse response filters Convolution Interpolation Sampling methods OFDM Optimization methods Least squares approximations spectrum interpolation Closed-form FIR filter design convolution window linear phase
Content Type	Text
Resource Type	Article
Subject	Signal Processing Electrical and Electronic Engineering

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