An oscillator is a second order system, an amplifier with a gain fractionally over 1 and a tiny bit of non-linearity to drop the gain at the peaks to 0.999. The natural response of a critically damped second order system to a step or impulse is the sinusoid. With a loop gain of just over unity, it would be a sinusoid of ever-increasing amplitude, but tiny non-linearities are incorporated to level it out at an amplitude appropriate to the circuit parameters.sns said:Why/How does a linear oscillator give >>>sinusoidal<<< output?
I am basically confused how the sinusoidal signal output generates from a random noise? Why sinusoidal and not something else?
Can this be explained from the characteristic equation/circuit poles?
Sinusoidal oscillators produce sinusoids by utilizing a feedback circuit that generates a continuous oscillating signal. This signal is then amplified and fed back into the circuit, creating a self-sustaining loop that produces a sinusoidal output.
The purpose of a sinusoidal oscillator is to generate a continuous sinusoidal signal at a desired frequency. This is often used in electronic devices and systems for various applications such as communication, measurement, and control.
A sinusoidal oscillator circuit typically consists of a feedback circuit, an amplifier, and a frequency-selective element such as a capacitor or inductor. Additional components such as resistors and diodes may also be used for specific oscillator designs.
The frequency of a sinusoidal oscillator is primarily determined by the values of the components in the feedback circuit. In addition, the oscillation frequency can also be affected by external factors such as temperature, power supply voltage, and component tolerances.
The damping factor, also known as the quality factor, determines the sharpness of the output signal's frequency response. A higher damping factor results in a narrower frequency response and a more precise sinusoidal output, while a lower damping factor can lead to distortions and a less accurate output.