0.5‐V fractional‐order companding filters

Τσιριμώκου, Γεωργία; Laoudias, Costas; Psychalinos, Costas

doi:10.1002/cta.1995

Cited by 62 publications

(40 citation statements)

References 21 publications

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“…The transfer function of an 1 + a order lowpass filter with all‐pole Butterworth response ( τ = 1 s) is given by as

H_{1 + a}^{L P} ((), s) = \frac{K_{1}}{s^{1 + a} + K_{3} s^{a} + K_{2}}

where the factors K i ( i = 1, 2, 3) are calculated by appropriate expressions, in order to minimize the error in the frequency response. Such expressions are recalled in

K_{1} = 1

K_{2} = 0.2937 a + 0.71216

K_{3} = 1.068 a^{2} + 0.161 a + 0.3324

…”

Section: Design Of Fractional‐order Circuitsmentioning

confidence: 99%

Ultra‐low voltage fractional‐order circuits using current mirrors

Τσιριμώκου

Psychalinos

2015

Circuit Theory & Apps

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Summary Fractional‐order blocks, including differentiators, lossy and lossless integrators as well as filters of order 1 + a (0 < a < 1), are presented in this paper. The proposed topologies offer the benefit of ultra low‐voltage operation; in addition, reduced circuit complexity is achieved compared to the corresponding companding schemes, which have been already introduced in the literature. The ultra‐low voltage operation is performed through the employment of metal oxide semiconductor transistors biased in the subthreshold region. The reduction of circuit complexity is achieved through the utilization of current mirrors as active elements for realizing the required building blocks. The performance of the proposed fractional‐order circuits has been evaluated through the Analog Design Environment of the Cadence software and the design kit provided by the Taiwan Semiconductor Manufacturing Company (TSMC) 180 nm complementary metal oxide semiconductor process. Copyright © 2015 John Wiley & Sons, Ltd.

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“…The transfer function of an 1 + a order lowpass filter with all‐pole Butterworth response ( τ = 1 s) is given by as

H_{1 + a}^{L P} ((), s) = \frac{K_{1}}{s^{1 + a} + K_{3} s^{a} + K_{2}}

where the factors K i ( i = 1, 2, 3) are calculated by appropriate expressions, in order to minimize the error in the frequency response. Such expressions are recalled in

K_{1} = 1

K_{2} = 0.2937 a + 0.71216

K_{3} = 1.068 a^{2} + 0.161 a + 0.3324

…”

Section: Design Of Fractional‐order Circuitsmentioning

confidence: 99%

Ultra‐low voltage fractional‐order circuits using current mirrors

Τσιριμώκου

Psychalinos

2015

Circuit Theory & Apps

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“…Another important drawback is the absence of programmability, making these structures not capable of fulfilling the demand for realizing programmable analog filters. Alternative fractional‐order filters which do not suffer from the aforementioned drawbacks have been introduced in [27]–[29].…”

Section: Introductionmentioning

confidence: 99%

Fractional‐order electronically controlled generalized filters

Τσιριμώκου

Psychalinos

Elwakil

2016

Circuit Theory & Apps

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Summary Novel topologies of fractional‐order generalized filters are introduced in this paper. These offer the following benefits: (1) realization of lowpass, highpass, bandpass, allpass, or bandstop filter functions by the same topology; (2) resistorless realizations; (3) electronic adjustment of their frequency characteristics as well as their order; and (4) employment of only grounded capacitors. All the above have been achieved using Operational Transconductance Amplifiers as active elements and appropriate multi‐feedback topologies. The behavior of the proposed designs is verified through simulation results using the Cadence IC design suite and the Design Kit provided by the Austrian Micro Systems 0.35‐µm complementary metal–oxide–semiconductor process. Copyright © 2016 John Wiley & Sons, Ltd.

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“…This research stated clearly the superiority of non-integer order systems over classical systems. Tsirimokou et al [43] analyzed the behavior of so-called companding filters in low-voltage environment also using alternative domain, sinh instead of classic log-one. In [16], Freeborn et al propose the use of field-programmable analogue array hardware to implement an approximated fractional step transfer function.…”

Section: Introductionmentioning

confidence: 99%

On Digital Realizations of Non-integer Order Filters

Baranowski

Bauer

Zagórowska

et al. 2016

Circuits Syst Signal Process

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Typical approach to non-integer order filtering consists of analogue design and implementation. Digital realization of non-integer order systems is susceptible to problems such as infinite memory requirement and sensitivity to numerical errors. The aim of this paper is to present two efficient methods for digital realization of noninteger order filters: discrete time-domain Oustaloup approximation and Laguerre impulse response approximation. Properties of both methods are investigated with use of non-integer low-pass filter. Filters realized with presented methods are then used for filtering of EEG signal. Paper concludes with discussion of merits and flaws of both methods.Keywords Non-integer order filter · Fractional filter · Oustaloup method · discretization · Laguerre impulse response approximation Work realized in the scope of project titled "Design and application of non-integer order subsystems in control systems". Project was financed by National Science Centre on the base of decision no.

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0.5‐V fractional‐order companding filters

Cited by 62 publications

References 21 publications

Ultra‐low voltage fractional‐order circuits using current mirrors

Ultra‐low voltage fractional‐order circuits using current mirrors

Fractional‐order electronically controlled generalized filters

On Digital Realizations of Non-integer Order Filters

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