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# sawtooth() - Signal Processing

```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).```

### Syntax

`sawtooth(t)sawtooth(t,width)`

### Example

```50 Hz Sawtooth WaveformOpen This Example
Generate 10 periods of a sawtooth wave with a fundamental frequency of 50 Hz. The sample 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.periodogram(x,[],length(x),Fs,'power')```