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Effective Usage of Circuits with Fractional Order in Integrated Circuits
Kadlčík, Libor ; Štork, Milan (oponent) ; Husák, Miroslav (oponent) ; Horský, Pavel (vedoucí práce)
Integration and differentiation are usually known for an integer order (i.e. first, second, etc.); however, a generalization to a fractional (non-integer) order is possible, which can be implemented by fractional-order electronic circuits (or make an approximation) and which provide a new degree of freedom for design. Approximation of fractional-order circuits with discrete components usually employs RC structures with a wide range of resistances and capacitances and appear difficult to use in integrated circuits. This work shows implementation of fractional-order circuits in integrated circuits and their use in circuit design. Lumped-element components (e.g. RC ladder) and distributed elements (e.g. R-PMOScap, consisting of unsalicided polysilicon strip above gate oxide) are used; only analog CMOS process is used, without any special processing steps. The usefulness of fractional-order circuits has been practically demonstrated by realization of several integrated voltage regulators, in which fractional-order circuits implement fractional-order regulation to achieve both tight DC regulation and a good stability of the regulation loop, without requiring a compensation zero or too large external capacitance (some of the regulators even allow a load capacitance from zero to infinity).
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Effective Usage of Circuits with Fractional Order in Integrated Circuits
Kadlčík, Libor ; Štork, Milan (oponent) ; Husák, Miroslav (oponent) ; Horský, Pavel (vedoucí práce)
Integration and differentiation are usually known for an integer order (i.e. first, second, etc.); however, a generalization to a fractional (non-integer) order is possible, which can be implemented by fractional-order electronic circuits (or make an approximation) and which provide a new degree of freedom for design. Approximation of fractional-order circuits with discrete components usually employs RC structures with a wide range of resistances and capacitances and appear difficult to use in integrated circuits. This work shows implementation of fractional-order circuits in integrated circuits and their use in circuit design. Lumped-element components (e.g. RC ladder) and distributed elements (e.g. R-PMOScap, consisting of unsalicided polysilicon strip above gate oxide) are used; only analog CMOS process is used, without any special processing steps. The usefulness of fractional-order circuits has been practically demonstrated by realization of several integrated voltage regulators, in which fractional-order circuits implement fractional-order regulation to achieve both tight DC regulation and a good stability of the regulation loop, without requiring a compensation zero or too large external capacitance (some of the regulators even allow a load capacitance from zero to infinity).
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