gsignal (version 0.3-7)

sawtooth: Sawtooth or triangle wave

Description

Returns samples of the sawtooth function at the times indicated by t.

Usage

sawtooth(t, width = 1)

Value

Sawtooth wave, returned as a vector.

Arguments

t

Sample times of unit sawtooth wave specified by a vector.

width

Real number between 0 and 1 which specifies the point between 0 and \(2 \pi\) where the maximum is. The function increases linearly from -1 to 1 in the interval from 0 to \( 2 * \pi * width\), and decreases linearly from 1 to -1 in the interval from \(2 * \pi * width\) to \(2 * \pi\). Default: 1 (standard sawtooth).

Author

Juan Aguado.
Conversion to R by Geert van Boxtel, .

Details

The code y <- sawtooth(t) generates a sawtooth wave with period \(2\pi\) for the elements of the time array t. sawtooth() is similar to the sine function but creates a sawtooth wave with peaks of –1 and 1. The sawtooth wave is defined to be –1 at multiples of \(2\pi\) and to increase linearly with time with a slope of \(1/\pi\) at all other times.

y <- sawtooth(t, width) generates a modified triangle wave with the maximum location at each period controlled by width. Set width to 0.5 to generate a standard triangle wave.

Examples

T <- 10 * (1 / 50)
fs <- 1000
t <- seq(0, T-1/fs, 1/fs)
y <- sawtooth(2 * pi * 50 *t)
plot(t, y, type="l", xlab = "", ylab = "", main = "50 Hz sawtooth wave")

T <- 10 * (1 / 50)
fs <- 1000
t <- seq(0, T-1/fs, 1/fs)
y <- sawtooth(2 * pi * 50 * t, 1/2)
plot(t, y, type="l", xlab = "", ylab = "", main = "50 Hz triangle wave")