Before we start, I would like to state that we have not been introduced to Fourier series yet, but somehow ended up with a project involving it.
The goal of this project is to convert a sawtooth signal to a pure sinusoid signal. The sawtooth has a frequency of 50hz with a 5v amplitude and we want a sinusoid with a period of 250Khz. We are to build a filter circuit with only inductors, resistors, and capacitors to perform as asked.
After researching, it turns out that a sawtooth signal is merely a superposition of sinusoid with varying signals.
So the question/s are:
-To achieve a 250khz sinusoid, all we need to do is create a 2nd order bandpass filter to filter all signals below and above 250khz, am I correct? Or am I missing a piece of the equation to get the desired result?
-But then as I look at the Fourier equation for a sawtooth again, it says there is a "fundamental" frequency and a term called "harmonic". In this case, I believe the fundamental frequency is 50hz. So at 250khz, it would be the 5000th harmonic. What am I suppose to do with this? lol
The goal of this project is to convert a sawtooth signal to a pure sinusoid signal. The sawtooth has a frequency of 50hz with a 5v amplitude and we want a sinusoid with a period of 250Khz. We are to build a filter circuit with only inductors, resistors, and capacitors to perform as asked.
After researching, it turns out that a sawtooth signal is merely a superposition of sinusoid with varying signals.
So the question/s are:
-To achieve a 250khz sinusoid, all we need to do is create a 2nd order bandpass filter to filter all signals below and above 250khz, am I correct? Or am I missing a piece of the equation to get the desired result?
-But then as I look at the Fourier equation for a sawtooth again, it says there is a "fundamental" frequency and a term called "harmonic". In this case, I believe the fundamental frequency is 50hz. So at 250khz, it would be the 5000th harmonic. What am I suppose to do with this? lol