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

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

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This study presents new techniques for implementing continuous-time second-order band-pass filters with high-quality factors and asymmetric slopes. The techniques are centred around the realisation of two non-conventional transfer functions which include the non-integer-order Laplacian operator sα; 0<α<1. Four main possible circuit realisations; one based on a frequency-dependent negative resistor (FDNR), another based on an inductor and two based on multiple amplifier biquads (MABs) are given and verified using Spice and experimentally for both transfer functions. In addition, a field programmable analogue array (FPAA) realisation is tested and verified. Last but not least, a possible realisation using current conveyors is also given, tested and verified.


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      • Design Chebychev bandpass filters efficiently
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      • Filter theory and design: active and passive
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      • Continuous-time active filter design
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      • Introduction to the theory and design of active filters
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      • Approximation of fractional capacitors (1/s)1/n by regular Newton process
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      • Inductance and FDNR simulator employing only two CCII+s
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      • Simulation of fractal immittance by analog circuits: an approach to the optimized circuits
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      • Freeborn, T., Maundy, B., Elwakil, A.: `Towards the realization of fractional step filters', Int. Symp. on Circuits and Systems (ISCAS), May 2010, p. 1037–1040
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