Ring oscillator-1
Ring oscillator, which is a kind of voltage-controlled oscillator, is a very common topology in current technology. It can be used in many different fields, such as Analog Design, Digital Design, and RF design. In Figure 1, this topology is combined by three or odd numbers of inverters. The frequency of inverters can be influenced by increasing numbers of inverters, adding capacitors or adjusting the size of MOSFET. Figure 1. Topology of Ring Oscillator The reason why this topology oscillates is gate delay. In the real world, because the gate (inverter) can't change the status immediately. Every gates need time to change the status. In odd numbers of inverters, if the last output of inverter is 1, output of first inverter will be -1 and cause oscillate. Therefore, adding capacitor is useful for changing the time delay and its frequency. The formula of oscillation is given by: \[f=\frac{1}{2*t*n}\] However, in this topology, the numbers of inverters can be three...