Sawtooth or triangle wave
sawtooth(t) generates a sawtooth wave with period 2π for the elements of time vector t. sawtooth(t) is similar to sin(t), but creates a sawtooth wave with peaks of -1 and 1 instead of a sine 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.
sawtooth(t,width) generates a modified triangle wave where width, a scalar parameter between 0 and 1, determines the point between 0 and 2π at which the maximum occurs. The function increases from -1 to 1 on the interval 0 to 2π*width, then decreases linearly from 1 to -1 on the interval 2π*width to 2π. Thus a parameter of 0.5 specifies a standard triangle wave, symmetric about time instant π with peak-to-peak amplitude of 1. sawtooth(t,1) is equivalent to sawtooth(t).
Generate 10 periods of a sawtooth wave with a fundamental frequency of 50 Hz. The sampling rate is 1 kHz.
T = 10*(1/50); Fs = 1000; dt = 1/Fs; t = 0:dt:T-dt; x = sawtooth(2*pi*50*t); plot(t,x) grid on;
Plot the power spectrum.
[pxx,f] = periodogram(x,,length(x),Fs,'power'); plot(f,pxx)