Derivation of Positive Realness Constraint with Specified Maximum Pole Radius and its Application to Design of Low-pass Digital Differentiators

[1]  Chien-Cheng Tseng,et al.  Design of Fractional Order Digital Differentiator Using Radial Basis Function , 2010, IEEE Transactions on Circuits and Systems I: Regular Papers.

[2]  Mathias C. Lang,et al.  Least-squares design of IIR filters with prescribed magnitude and phase responses and a pole radius constraint , 2000, IEEE Trans. Signal Process..

[3]  C. Burrus,et al.  Maximally flat low-pass FIR filters with reduced delay , 1998 .

[4]  Toshihiro Aono,et al.  An Air Fuel Ratio Sensor Diagnosis Method Based on Frequency Characteristics of Differential Filter , 2013 .

[5]  R. Roberts,et al.  The use of second-order information in the approximation of discreate-time linear systems , 1976 .

[6]  P. Caminal,et al.  Low-pass differentiators for biological signals with known spectra: application to ECG signal processing , 1990, IEEE Transactions on Biomedical Engineering.

[7]  Jianwen Luo,et al.  Axial strain calculation using a low-pass digital differentiator in ultrasound elastography. , 2004, IEEE transactions on ultrasonics, ferroelectrics, and frequency control.

[8]  Mohamad Adnan Al-Alaoui,et al.  Linear Phase Low-Pass IIR Digital Differentiators , 2007, IEEE Transactions on Signal Processing.

[9]  Takao Hinamoto,et al.  Optimal design of IIR digital filters with robust stability using conic-quadratic-programming updates , 2003, IEEE Trans. Signal Process..

[10]  Shuichi Ohno,et al.  Design of Multi-Band Digital Filters and Full-Band Digital Differentiators Without Frequency Sampling and Iterative Optimization , 2014, IEEE Transactions on Industrial Electronics.

[11]  Graham A. Jullien,et al.  A linear programming approach to recursive digital filter design with linear phase , 1982 .

[12]  I. Selesnick Maximally flat low-pass digital differentiator , 2002 .

[13]  V. Ramachandran,et al.  Design of recursive differentiators with constant group-delay characteristics , 1994, Signal Process..

[14]  Chien-Cheng Tseng,et al.  A weighted least-squares method for the design of stable 1-D and 2-D IIR digital filters , 1998, IEEE Trans. Signal Process..

[15]  Kenji Suyama,et al.  Research Activities and Future Tasks on Digital Filters: − To Obtain \Good" Digital Filters and Bring Them to Widespread Use −@@@−「良い」ディジタルフィルタを作り,そして広めるためには?− , 2015 .

[16]  Takashi Yoshida,et al.  A Closed-Form Design of Linear Phase FIR Band-Pass Maximally Flat Digital Differentiators with an Arbitrary Center Frequency , 2014, IEICE Trans. Fundam. Electron. Commun. Comput. Sci..