The Fourier Series, Amplitude and Phase Plot of a Saw Tooth Waveform

1. What is sawtooth wave in Fourier series?
2. What is amplitude in Fourier series?
3. How do you plot amplitude and phase spectrum?
4. What is the formula for sawtooth wave?

What is sawtooth wave in Fourier series?

The sawtooth wave (or saw wave) is a kind of non-sinusoidal waveform. It is so named based on its resemblance to the teeth of a plain-toothed saw with a zero rake angle. A single sawtooth, or an intermittently triggered sawtooth, is called a ramp waveform. Sawtooth wave.

What is amplitude in Fourier series?

The Fourier amplitude spectrum FS(ω) is defined as the square root of the sum of the squares of the real and imaginary parts of F(ω). Thus: [2] Since a(t) has units of acceleration, FS(ω) has units of velocity. The Fourier amplitude spectrum is of interest to seismologists in characterizing ground motion.

How do you plot amplitude and phase spectrum?

The exponential Fourier series representation of a periodic function x(t) has amplitude coefficients Cn which are complex and can be represented by magnitude and phase. Hence, we can plot the amplitude spectrum (|Cn| versus ω) and the phase spectrum (∠Cnversusω).

What is the formula for sawtooth wave?

The sawtooth wave is defined to be –1 at multiples of 2π and to increase linearly with time with a slope of 1/π at all other times. x = sawtooth( t , xmax ) generates a modified triangle wave with the maximum location at each period controlled by xmax .