A Novel Design of Sparse FIR Multiple Notch Filters with Tunable Notch Frequencies
| Autor: | Jiaxiang Zhao, Anyu Li, Wei Xu, Boya Shi |
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| Rok vydání: | 2018 |
| Předmět: |
Article Subject
Finite impulse response Computer science lcsh:Mathematics General Mathematics Attenuation 020208 electrical & electronic engineering Bandwidth (signal processing) General Engineering 020206 networking & telecommunications 02 engineering and technology lcsh:QA1-939 Band-stop filter Quantitative Biology::Cell Behavior Filter design lcsh:TA1-2040 0202 electrical engineering electronic engineering information engineering lcsh:Engineering (General). Civil engineering (General) Passband Algorithm Linear phase |
| Zdroj: | Mathematical Problems in Engineering, Vol 2018 (2018) |
| ISSN: | 1563-5147 1024-123X |
| Popis: | 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. |
| Databáze: | OpenAIRE |
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