scholarly journals Design of linear phase FIR notch filters

Sadhana ◽  
1990 ◽  
Vol 15 (3) ◽  
pp. 133-155 ◽  
Author(s):  
Tian-Hu Yu ◽  
Sanjit K Mitra ◽  
Hrvoje Babic
Keyword(s):  
2018 ◽  
Vol 2018 ◽  
pp. 1-7 ◽  
Author(s):  
Wei Xu ◽  
Anyu Li ◽  
Boya Shi ◽  
Jiaxiang Zhao

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.


2012 ◽  
Vol 59 (9) ◽  
pp. 592-596 ◽  
Author(s):  
Chao Gu ◽  
Jiaxiang Zhao ◽  
Wei Xu ◽  
Dongyan Sun
Keyword(s):  

Sensors ◽  
2018 ◽  
Vol 18 (5) ◽  
pp. 1515 ◽  
Author(s):  
Hongbo Zhao ◽  
Yinan Hu ◽  
Hua Sun ◽  
Wenquan Feng

2015 ◽  
Vol 35 (4) ◽  
pp. 1199-1211
Author(s):  
Wei Xu ◽  
Jiaxiang Zhao ◽  
Hongjie Wang
Keyword(s):  

2010 ◽  
Vol 17 (2) ◽  
Author(s):  
Eduardo Pinheiro ◽  
Octavian Postolache ◽  
Pedro Girão

2020 ◽  
Author(s):  
Junaid Khan

While self mixing interferometry(SMI) has proven to be suitable for displacement measurement and other sensing applications,its characteristic self mixing signal shape is strongly governed by the non-linear phase equation which forms relation between perturbed and unperturbed phase of self mixing laser.Therefore, while it is desirable for robust estimation of displacement of moving target, the algorithms to achieve this must have an objective strategy which can be achieved by understanding the characteristic of extracting knowledge of perturbed phase from unperturbed phase. Therefore, it has been proved and shown that such strategy must not involve sole methods where perturbed phase is continuous function of unperturbed phase (e.g:Taylor series or fixed point methods) or through successive displacements (e.g: variations of Gauss Seidal method). Subset of this strategy is to perform spectral filtering of perturbed phase followed by perturbative or homotopic deformation. A less computationally expensive approach of this strategy is adopted to achieve displacement with mean error of 62.2nm covering all feedback regimes, when coupling factor 'C' is unknown.<br>


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