An oscillator includes a positive power supply node for providing a positive power supply voltage; a capacitor; and a constant current source providing a first constant current and coupled to the positive power supply node. The first constant current is independent from the positive power supply node. The oscillator also includes a charging current source configured to provide a second constant current to charge the capacitor, wherein the second constant current mirrors the first constant current. The oscillator further includes a constant current source inverter having a third constant current mirroring the first constant current. The constant current source inverter is configured to control the oscillator to transition state at a constant state transition voltage.