sawtooth function

Sawtooth or triangle wave

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

sawtooth(t, width = 1)

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 c("$2\n$", "$* \\pi$"). Default: 1 (standard sawtooth).

Returns

Sawtooth wave, returned as a vector.

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")

Author(s)

Juan Aguado.

Conversion to R by Geert van Boxtel, G.J.M.vanBoxtel@gmail.com .