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A Novel Design of Sparse FIR Multiple Notch Filters with Tunable Notch Frequencies
Joint Authors
Xu, Wei
Li, Anyu
Shi, Boya
Zhao, Jiaxiang
Source
Mathematical Problems in Engineering
Issue
Vol. 2018, Issue 2018 (31 Dec. 2018), pp.1-7, 7 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2018-05-08
Country of Publication
Egypt
No. of Pages
7
Main Subjects
Abstract EN
We focus on the design of finite impulse response (FIR) multiple notch filters.
To reduce the computational complexity and hardware implementation complexity, a novel algorithm is developed based on the mixture of the tuning of notch frequencies and the sparsity of filter coefficients.
The proposed design procedure can be carried out as follow: first, since sparse FIR filters have lower implementation complexity than full filters, a sparse linear phase FIR single notch filter with the given rejection bandwidth and passband attenuation is designed.
Second, a tuning procedure is applied to the computed sparse filter to produce the desired sparse linear phase FIR multiple notch filter.
When the notch frequencies are varied, the same tuning procedure can be employed to render the new multiple notch filter instead of designing the filter from scratch.
The effectiveness of the proposed algorithm is demonstrated through three design examples.
American Psychological Association (APA)
Xu, Wei& Li, Anyu& Shi, Boya& Zhao, Jiaxiang. 2018. A Novel Design of Sparse FIR Multiple Notch Filters with Tunable Notch Frequencies. Mathematical Problems in Engineering،Vol. 2018, no. 2018, pp.1-7.
https://search.emarefa.net/detail/BIM-1206855
Modern Language Association (MLA)
Xu, Wei…[et al.]. A Novel Design of Sparse FIR Multiple Notch Filters with Tunable Notch Frequencies. Mathematical Problems in Engineering No. 2018 (2018), pp.1-7.
https://search.emarefa.net/detail/BIM-1206855
American Medical Association (AMA)
Xu, Wei& Li, Anyu& Shi, Boya& Zhao, Jiaxiang. A Novel Design of Sparse FIR Multiple Notch Filters with Tunable Notch Frequencies. Mathematical Problems in Engineering. 2018. Vol. 2018, no. 2018, pp.1-7.
https://search.emarefa.net/detail/BIM-1206855
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1206855