Abstract: MEMS-based, computer system, clock generation and oscillator circuits and LC-tank apparatus for use therein are provided and which are fabricated using a CMOS-compatible process. A micromachined inductor (L) and a pair of varactors (C) are developed in metal layers on a silicon substrate to realize the high quality factor LC-tank apparatus. This micromachined LC-tank apparatus is incorporated with CMOS transistor circuitry in order to realize a digital, tunable, low phase jitter, and low power clock, or time base, for synchronous integrated circuits. The synthesized clock signal can be divided down with digital circuitry from several GHz to tens of MHZ—a systemic approach that substantially improves stability as compared to the state of the art. Advanced circuit design techniques have been utilized to minimize power consumption and mitigate transistor flicker noise upconversion, thus enhancing clock stability.

Abstract: An apparatus and method are disclosed which provide a substantially linear relationship between an input signal, such as an input voltage or current, and a predetermined parameter, such as a frequency response or capacitance of a parallel plate capacitor or varactor. The apparatus comprises a square root converter and a logarithmic generator. The square root converter is adapted to provide a square root signal which is substantially proportional to a square root of the input signal. In the various embodiments, the logarithmic generator is adapted to provide an applied signal which is substantially proportional to a sum of a logarithm of the input signal plus the square root of the input signal. The applied signal is a pre-distorted signal which generally has a non-linear relation to the predetermined parameter and which, when applied, allows the predetermined parameter to vary substantially linearly with the input signal.

Abstract: MEMS-based, computer system, clock generation and oscillator circuits and LC-tank apparatus for use therein are provided and which are fabricated using a CMOS-compatible process. A micromachined inductor (L) and a pair of varactors (C) are developed in metal layers on a silicon substrate to realize the high quality factor LC-tank apparatus. This micromachined LC-tank apparatus is incorporated with CMOS transistor circuitry in order to realize a digital, tunable, low phase jitter, and low power clock, or time base, for synchronous integrated circuits. The synthesized clock signal can be divided down with digital circuitry from several GHz to tens of MHz—a systemic approach that substantially improves stability as compared to the state of the art. Advanced circuit design techniques have been utilized to minimize power consumption and mitigate transistor flicker noise upconversion, thus enhancing clock stability.

Abstract: An apparatus and method are disclosed which provide a substantially linear relationship between an input signal, such as an input voltage or current, and a predetermined parameter, such as a frequency response or capacitance of a parallel plate capacitor or varactor. The apparatus comprises a square root converter and a logarithmic generator. The square root converter is adapted to provide a square root signal which is substantially proportional to a square root of the input signal. In the various embodiments, the logarithmic generator is adapted to provide an applied signal which is substantially proportional to a sum of a logarithm of the input signal plus the square root of the input signal. The applied signal is a pre-distorted signal which generally has a non-linear relation to the predetermined parameter and which, when applied, allows the predetermined parameter to vary substantially linearly with the input signal.

Abstract: MEMS-based, computer system, clock generation and oscillator circuits and LC-tank apparatus for use therein are provided and which are fabricated using a CMOS-compatible process. A micromachined inductor (L) and a pair of varactors (C) are developed in metal layers on a silicon substrate to realize the high quality factor LC-tank apparatus. This micromachined LC-tank apparatus is incorporated with CMOS transistor circuitry in order to realize a digital, tunable, low phase jitter, and low power clock, or time base, for synchronous integrated circuits. The synthesized clock signal can be divided down with digital circuitry from several GHz to tens of MHz—a systemic approach that substantially improves stability as compared to the state of the art. Advanced circuit design techniques have been utilized to minimize power consumption and mitigate transistor flicker noise upconversion, thus enhancing clock stability.