Search of Optimal s-to-z Mapping Function for IIR Filter Designing without Frequency Pre-warping

Bilinear transformation is one of the most popular s-to-z mapping functions and widely used to design digital filters, disregarding its susceptibility to “frequency warping”. Although “frequency pr...

[1]  Mohamad Adnan Al-Alaoui,et al.  Design of recursive digital integrators and differentiators using particle swarm optimization , 2016, Int. J. Circuit Theory Appl..

[2]  Maneesha Gupta,et al.  Wideband digital integrators and differentiators designed using particle swarm optimisation , 2014, IET Signal Process..

[3]  Maneesha Gupta,et al.  Wideband Digital Integrator and Differentiator , 2012 .

[4]  Alan M. Schneider,et al.  Further improvements in digitizing continuous-time filters , 1997, IEEE Trans. Signal Process..

[5]  Manjeet Kumar,et al.  Efficient Design of Digital FIR Differentiator using $L_1$-Method , 2016 .

[6]  A. M. Schneider,et al.  Higher order s-to-z mapping functions and their application in digitizing continuous-time filters , 1991 .

[7]  Maneesha Gupta,et al.  Novel class of stable wideband recursive digital integrators and differentiators , 2010 .

[8]  Mohamad Adnan Al-Alaoui,et al.  Filling The Gap Between The Bilinear and The Backward-Difference Transforms: An Interactive Design Approach , 1997 .

[9]  Thomas Hélie,et al.  Simulation of Fractional-Order Low-Pass Filters , 2014, IEEE/ACM Transactions on Audio, Speech, and Language Processing.

[10]  Mohamad Adnan Al-Alaoui,et al.  Al-Alaoui operator and the new transformation polynomials for discretization of analogue systems , 2008 .

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

[12]  Tarun Kumar Rawat,et al.  Optimal design of FIR high pass filter based on L1 error approximation using real coded genetic algorithm , 2015 .

[13]  Zhe Gao,et al.  Fractional-order Kalman filters for continuous-time linear and nonlinear fractional-order systems using Tustin generating function , 2019, Int. J. Control.

[14]  A Thenmozhi,et al.  A Novel Approach to Synthesize Microwave Filters using Artificial Neural Networks , 2008 .

[15]  A. M. Schneider,et al.  Accuracy and stability of discrete-time filters generated by higher-order s-to-z mapping functions , 1994, IEEE Trans. Autom. Control..

[16]  Youcef Ferdi,et al.  Improved Digital Rational Approximation of the Operator $$S^{\alpha }$$Sα Using Second-Order s-to-z Transform and Signal Modeling , 2015, Circuits Syst. Signal Process..

[17]  Tarun Kumar Rawat,et al.  Design of optimal digital FIR filters using evolutionary and swarm optimization techniques , 2016 .

[18]  A New Feedback Configuration for Canonical Realization of IIR Filters and Its Application to Lattice Realizations , 2008 .

[19]  Tarun Kumar Rawat,et al.  Design of optimal band-stop FIR filter usingL1-norm based RCGA , 2016, Ain Shams Engineering Journal.

[20]  Soo-Chang Pei,et al.  Fractional Bilinear Transform for Analog-to-Digital Conversion , 2008, IEEE Transactions on Signal Processing.

[21]  Mohamad Adnan Al-Alaoui,et al.  Novel stable higher order s-to-z transforms , 2001 .

[22]  K. Garg,et al.  Design of Second Order Recursive Digital Integrators with Matching Phase and Magnitude Response , 2017 .

[23]  Todd J. Freeborn,et al.  Comparison of $$(1+\alpha )$$(1+α) Fractional-Order Transfer Functions to Approximate Lowpass Butterworth Magnitude Responses , 2016, Circuits Syst. Signal Process..