sawtooth

A sawtooth or triangular wave.

Library

EngeeDSP

Syntax

Function call

x = sawtooth(t) — generates a sawtooth wave with a period of for elements of a temporary array t. Function sawtooth generates a sawtooth wave with peaks -1 and 1. The sawtooth wave is equal to -1 for time values that are multiples of , and increases linearly with time with slope at all other times.

x = sawtooth(t,xmax) — generates a modified triangular wave with the maximum position on each period determined by xmax. Install xmax equal 0.5 to generate a standard triangular wave.

Arguments

Input arguments

# t — time values

+ vector | matrix

Details

Time values set as a vector or matrix. Function sawtooth works with the first dimension of the array from t with a larger size 1.

Data types

Float64

# xmax — maximum wave value

+ 1 (by default) | scalar from 0 to 1

Details

The maximum value of the wave, given as a scalar of 0 before 1. Value xmax defines the point between 0 and , in which the wave reaches its maximum. The function increases with -1 before 1 on the interval from 0 before xmax, then linearly decreases from 1 before -1 on the interval xmax before . Then the form is repeated with a period in .

For example, xmax = 0.5 defines a standard triangular wave, symmetrical with respect to the time value , with peak-to-peak amplitude equal to 1.

Data types

Float64

Output arguments

# x — sawtooth wave

+ vector | matrix

Details

A sawtooth wave returned as a vector or matrix.

Data types

Float64

Examples

Sawtooth wave 50 Hz

Details

Generate 10 periods of a sawtooth signal with a fundamental frequency 50 Hz. Sampling rate — 1 kHz.

import EngeeDSP.Functions: sawtooth

T = 10 * (1/50)
fs = 1000
t = 0:1/fs:T-1/fs

x = sawtooth.(2*pi*50 .* t)

plot(t, x, grid = true)
xlabel!("Time (s)")
ylabel!("Amplitude")

func sawtooth 1

50 Hz triangle wave

Details

Generate 10 periods of a triangular signal with a fundamental frequency 50 Hz. Sampling rate — 1 kHz.

import EngeeDSP.Functions: sawtooth

T = 10 * (1/50)
fs = 1000
t = 0:1/fs:T-1/fs

x = sawtooth.(2*pi*50 .* t, 0.5)

plot(t, x, grid = true)
xlabel!("Time (s)")
ylabel!("Amplitude")

func sawtooth 2