0.5‐V fractional‐order companding filters

Novel configurations of fractional-order filter topologies, realized through the employment of the concept of companding filtering, are introduced in this paper. As a first step, the design procedure is presented in a systematic algorithmic way, while in the next step, the basic building blocks of sinh-domain and log-domain integrators are presented. Because of the employment of metal-oxide-semiconductor MOS transistors operated in the subthreshold region, the derived filter structures offer the capability for operation in an ultra-low-voltage environment. In addition, because of the offered resistorless realizations, the proposed topologies are reconfigurable, in the sense that the order of the filter could be chosen through appropriate bias current sources. The performance of the derived fractional-order filters has been evaluated through simulation and comparison results using the Analog Design Environment of the Cadence software and MOS transistor parameters provided by the Taiwan Semiconductor Manufacturing Company TSMC 180-nm complementary MOS CMOS process. Copyright © 2014 John Wiley & Sons, Ltd.

[1]  Ahmed S. Elwakil,et al.  Field programmable analogue array implementation of fractional step filters , 2010, IET Circuits Devices Syst..

[2]  Karabi Biswas,et al.  Realization of a Constant Phase Element and Its Performance Study in a Differentiator Circuit , 2006, IEEE Transactions on Circuits and Systems II: Express Briefs.

[3]  Ahmed S. Elwakil,et al.  On the practical realization of higher-order filters with fractional stepping , 2011, Signal Process..

[4]  Ahmed M. Soliman,et al.  Fractional Order Butterworth Filter: Active and Passive Realizations , 2013, IEEE Journal on Emerging and Selected Topics in Circuits and Systems.

[5]  Khaled N. Salama,et al.  Fractional-Order RC and RL Circuits , 2012, Circuits Syst. Signal Process..

[6]  Yannis Tsividis,et al.  Externally linear, time-invariant systems and their application to companding signal processors , 1997 .

[7]  Ahmed S. Elwakil,et al.  Towards the realization of fractional step filters , 2010, Proceedings of 2010 IEEE International Symposium on Circuits and Systems.

[8]  Ahmed S Elwakil,et al.  Fractional-order circuits and systems: An emerging interdisciplinary research area , 2010, IEEE Circuits and Systems Magazine.

[9]  B. T. Krishna,et al.  Active and Passive Realization of Fractance Device of Order 1/2 , 2008 .

[10]  Costas Psychalinos,et al.  Low-Voltage Log-Domain Complex Filters , 2008, IEEE Transactions on Circuits and Systems I: Regular Papers.

[11]  Costas Psychalinos Log-domain SIMO and MISO low-voltage universal biquads , 2011 .

[12]  Ahmed S. Elwakil,et al.  On the Generalization of Second-Order Filters to the fractional-Order Domain , 2009, J. Circuits Syst. Comput..

[13]  Costas Psychalinos,et al.  1.2 V BiCMOS Sinh-Domain Filters , 2012, Circuits Syst. Signal Process..

[14]  Emmanuel M. Drakakis,et al.  Insights and Advances on the Design of CMOS Sinh Companding Filters , 2008, IEEE Transactions on Circuits and Systems I: Regular Papers.

[15]  Costas Psychalinos,et al.  Design of Sinh-Domain filters using complementary operators , 2012, Int. J. Circuit Theory Appl..

[16]  M. Ortigueira An introduction to the fractional continuous-time linear systems: the 21st century systems , 2008, IEEE Circuits and Systems Magazine.

[17]  Ahmed S. Elwakil,et al.  High-quality factor asymmetric-slope band-pass filters: A fractional-order capacitor approach , 2012, IET Circuits Devices Syst..

[18]  D. R. Frey,et al.  Log-domain filtering: An approach to current-mode fil-tering , 1993 .

[19]  Ahmed S. Elwakil,et al.  First-Order Filters Generalized to the fractional Domain , 2008, J. Circuits Syst. Comput..

[20]  Wouter A. Serdijn,et al.  Design of High Dynamic Range Fully Integratable Translinear Filters , 1999 .

[21]  K. Biswas,et al.  Performance study of fractional order integrator using single-component fractional order element , 2011, IET Circuits Devices Syst..