Abstract: A low-pass filter circuit comprising: a low-pass filter input terminal; a low-pass filter output terminal; a reference terminal; at least three filter resistors connected in series with each other between the low-pass filter input terminal and the low-pass filter output terminal, such that there is a resistor-connecting-node between each adjacent pair of filter resistors; a plurality of filter capacitors, one for each of the resistor-connecting-nodes, wherein each of the filter capacitors is connected between an associated resistor-connecting-node and the reference terminal; and a branch connected in parallel with the at least three filter resistors, wherein the branch comprises a bridging capacitor and a bridging resistor in series with each other.

Abstract: A phase locked loop circuit comprising: a phase detector configured to compare the phase of an input signal with the phase of a feedback signal in order to provide an up-phase signal and a down-phase-signal; an oscillator-driver configured to: apply an up-weighting-value to the up-phase signal in order to provide a weighted-up-phase signal; apply a down-weighting-value to the down-phase signal in order to provide a weighted-down-phase signal; and combine the weighted-up-phase signal with the weighted-down-phase signal in order to provide an oscillator-driver-output-signal; and a controller configured to: set the up-weighting-value and the down-phase-weighting as a first-set-of-unequal-weighting-values, and replace the first-set-of-unequal-weighting-values with a second-set-of-unequal-weighting-values if an operating signal of the phase locked loop circuit reaches a limit-value without satisfying a threshold value.

Abstract: A phase locked loop circuit comprising: a phase detector configured to compare the phase of an input signal with the phase of a feedback signal in order to provide an up-phase signal and a down-phase-signal; an oscillator-driver configured to: apply an up-weighting-value to the up-phase signal in order to provide a weighted-up-phase signal; apply a down-weighting-value to the down-phase signal in order to provide a weighted-down-phase signal; and combine the weighted-up-phase signal with the weighted-down-phase signal in order to provide an oscillator-driver-output-signal; and a controller configured to: set the up-weighting-value and the down-phase-weighting as a first-set-of-unequal-weighting-values, and replace the first-set-of-unequal-weighting-values with a second-set-of-unequal-weighting-values if an operating signal of the phase locked loop circuit reaches a limit-value without satisfying a threshold value.

Abstract: The present invention relates to a crystal oscillator for generating an oscillator signal having a predetermined frequency, wherein a frequency-dependent negative resistance circuit (FDNR) having a negative resistance inversely proportional to frequency squared is connected to an oscillator crystal (Q). Thereby, the voltage across the crystal (Q) approaches the time integral of a current supplied by an amplitude control means (10) and the input voltage of the amplitude control means (10) approaches the time integral of the current flowing through the crystal (Q). Due to this integration behavior of the frequency-dependent negative resistance circuit (FDNR), no accurate capacitors or other accurate reactive components are necessary.