Method and apparatus for the generation of long time constants using switched capacitors

A switched capacitor resistor comprising:

• a first capacitor, said first capacitor including an input terminal and an output terminal;
• a second capacitor, said second capacitor including an input terminal and an output terminal;
• a first switch electrically connected to the input terminal of the first capacitor, said first switch operable to switch the input of the first capacitor between a first position, a second position and a third position, wherein a first input potential is applied to the input terminal of the first capacitor when the first switch is in the first position, and a second input potential is applied to the input terminal of the first capacitor when the first switch is in the second position, said second input potential being proportional to the first input potential;
• a second switch electrically connected to the output terminal of the first capacitor, said second switch operable to switch the output of the first capacitor between a first position, a second position and a third position, wherein an output potential is applied to the output terminal of the first capacitor when the second switch is in the first position;
• a third switch electrically connected to the input terminal of the second capacitor, said third switch operable to switch the input of the second capacitor between a first position and a second position, wherein the first input potential is applied to the input terminal of the second capacitor when the third switch is in the first position;
• and
• a fourth switch electrically connected to the output terminal of the second capacitor, said fourth switch operable to switch the output of the second capacitor between a first position and a second position, said first position of the fourth switch being electrically connected to the second position of the first switch;
• wherein the first and second switches are switched in unison in accordance with a first switching frequency in order to charge and discharge the first capacitor, and the third and fourth switches are switched in unison in accordance with a second switching frequency in order to charge and discharge the second capacitor such that when the first and second switches are in the second position, the third and fourth switches are being switched between their first and second positions in order to provide the second input potential to the first capacitor, said second input potential being set by a number of times the third and fourth switches are switched when the first switch is in the second position and a ratio of the capacitance of the first capacitor and the capacitance of the second capacitor.

A switched capacitor resistor comprising:

• a first capacitor, said first capacitor including a first terminal and a second terminal:
• a first switch electrically connected to the first terminal of the first capacitor;
• means for applying a first input potential to the first capacitor when the first switch is in a first input position in order to charge the capacitor and bring the first terminal to the first input potential;
• means for applying a second input potential to the first capacitor when the first switch is in a second input position, said second input potential being proportional to the first input potential in order to discharge the capacitor and bring the first terminal to the second input potential, wherein the first switch is switched between the first position and the second position in accordance with a first capacitor switching frequency;
• a second switch electrically connected to the second terminal of the first capacitor;
• means for applying a ground potential to the first switch of the first capacitor when the first switch is in a third position;
• means for applying a output potential to the second switch of the first capacitor when the first switch is in the first position;
• and
• means for applying a ground potential to the second switch of the first capacitor when the first switch of the first capacitor is in the second and third positions.