High-quality factor asymmetric-slope band-pass filters: a fractional-order capacitor approach

Ahmadi, Peyman; Maundy, Brent; Elwakil, Ahmed S.; Belostotski, Leonid

doi:10.1049/iet-cds.2011.0239

Cited by 94 publications

(66 citation statements)

References 22 publications

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“…The transfer function of a (1 + a) order low-pass filter with all-pole (Butterworth) response is given by (1) as [13] H LP 1+a (s) = 1 s 1+a + K 1 s a + K 2 (1)…”

Section: Design Equationsmentioning

confidence: 99%

“…To minimize the error in the frequency response, the factors K i (i = 1, 2) were calculated to be K 1 = 1.068a 2 + 0.161a + 0.3324, K 2 = 0.2937a + 0.7122 (2) The above transfer function can be approximated by an integer-order circuit after using a suitable second-order approximation for the fractional-order Laplacian s a , optimized in terms of phase and gain errors. Employing the approximation (normalized to 1 rad/s) given by (3) [11] s a ∼ = (a 2 + 3a + 2)s 2 + (8 − 2a 2 )s + (a 2 − 3a + 2) (a 2 − 3a + 2)s 2 + (8 − 2a 2 )s + (a 2 + 3a + 2)…”

Section: Design Equationsmentioning

confidence: 99%

“…For example, the modeling of viscoelasticity as well as of biological cells and tissues has long been performed through the utilization of fractional-order impedances [8]. In circuit design, a lot of effort has been made to migrate concepts of fractional-order calculus into circuit theory and design [1,6,7] with particular emphasis on fractional-step analog filters [2,4,9,10,13] and fractional-order oscillators [16]. In comparison with their integer-order counterparts, fractional-order 2 Design of a (1 + a) Filter Prototype…”

Section: Introductionmentioning

confidence: 99%

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Switched-Capacitor Fractional-Step Butterworth Filter Design

Psychalinos

Τσιριμώκου

Elwakil

2015

Circuits Syst Signal Process

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Switched-capacitor fractional-step filter design of low-pass filter prototypes with Butterworth characteristics is reported in this work for the first time. This is achieved using discrete-time integrators which implement both the bilinear and the Al-Alaoui s-to-z transformations. Filters of orders 1.2, 1.5 and 1.8 as well as 3.2, 3.5, and 3.8 are designed and verified using transistor-level simulations with Cadence on AMS 0.35 µm CMOS process. Digital programmability of the fractional-step filters is also achieved.

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“…The transfer function of a (1 + a) order low-pass filter with all-pole (Butterworth) response is given by (1) as [13] H LP 1+a (s) = 1 s 1+a + K 1 s a + K 2 (1)…”

Section: Design Equationsmentioning

confidence: 99%

Section: Design Equationsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Switched-Capacitor Fractional-Step Butterworth Filter Design

Psychalinos

Τσιριμώκου

Elwakil

2015

Circuits Syst Signal Process

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“…They also verify numerically the results as examples taking, i.e., Wien oscillator, Colpitts oscillator and phase-shift oscillator. In [1], we see new techniques for implementing continuous-time secondorder band-pass filters with high-quality factors and asymmetric slopes using multiple amplifier biquads and frequency-dependent negative resistor. Ahmadi et al present there four possible realizations of the filters: one based on a frequency-dependent negative resistor (FDNR), another based on an inductor and two based on multiple amplifier biquads (MABs).…”

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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“…Therefore, many scientists have attempted to broaden the scope of fundamentals and theorems from integer order systems into fractional ones in biomedical applications [2,3], chaotic systems [4,5], signal processing [6], control design [7], and more. More specifically, the applications of fractional calculus on the filter design have yielded much recent progress in theory [8][9][10], noise analysis [11] and stability analysis [12]. However, fewer researchers have concentrated on the LC low-pass filter circuit, which is an important basic filter circuit.…”

Section: Introductionmentioning

confidence: 99%

Fractional-order L_βC_αLow-Pass Filter Circuit

Zhou¹,

Zhang²,

Chen³

2015

Journal of Electrical Engineering and Technology

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-This paper introduces the fundamentals of the conventional LC low-pass filter circuit in the fractional domain. First, we study the new fundamentals of fractional-order LC low-pass filter circuit including the pure real angular frequency, the pure imaginary angular frequency and the short circuit angular frequency. Moreover, sensitivity analysis of the impedance characteristics and phase characteristics of the LC low-pass filter circuit with respect to the system variables is studied in detail, which shows the greater flexibility of the fractional-order filter circuit in designs. Furthermore, from the filtering property perspective, we systematically investigate the effects of the system variables (LC, frequency f and fractional orders) on the amplitude-frequency characteristics and phase-frequency characteristics. In addition, the detailed analyses of the cut-off frequency and filter factor are presented. Numerical experimental results are presented to verify the theoretical results introduced in this paper.

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High-quality factor asymmetric-slope band-pass filters: a fractional-order capacitor approach

Cited by 94 publications

References 22 publications

Switched-Capacitor Fractional-Step Butterworth Filter Design

Switched-Capacitor Fractional-Step Butterworth Filter Design

On Digital Realizations of Non-integer Order Filters

Fractional-order L_βC_αLow-Pass Filter Circuit

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High-quality factor asymmetric-slope band-pass filters: a fractional-order capacitor approach

Cited by 94 publications

References 22 publications

Switched-Capacitor Fractional-Step Butterworth Filter Design

Switched-Capacitor Fractional-Step Butterworth Filter Design

On Digital Realizations of Non-integer Order Filters

Fractional-order LβCαLow-Pass Filter Circuit

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Resources

About

Fractional-order L_βC_αLow-Pass Filter Circuit