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sawtooth

Sawtooth or triangle wave

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Syntax

x = sawtooth(t)
x = sawtooth(t,xmax)

Description

x = sawtooth(t) generates a sawtooth wave with period 2π 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 2π and to increase linearly with time with a slope of 1/π at all other times.

example

x = sawtooth(t,xmax) generates a modified triangle wave with the maximum location at each period controlled by xmax. Set xmax to 0.5 to generate a standard triangle wave.

example

Examples

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Open Live Script

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;
t = 0:1/fs:T-1/fs;

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

plot(t,x)
grid on

Figure contains an axes object. The axes object contains an object of type line.

Plot the power spectrum of the wave.

pspectrum(x,fs,'Leakage',0.91)

Figure contains an axes object. The axes object with title Fres = 6.0288 Hz, xlabel Frequency (Hz), ylabel Power Spectrum (dB) contains an object of type line.

Open Live Script

Generate 10 periods of a triangle wave with a fundamental frequency of 50 Hz. The sample rate is 1 kHz.

T = 10*(1/50);

fs = 1000;
t = 0:1/fs:T-1/fs;

x = sawtooth(2*pi*50*t,1/2);

plot(t,x)
grid on

Figure contains an axes object. The axes object contains an object of type line.

Plot the power spectrum of the wave.

pspectrum(x,fs,'Leakage',0.91)

Figure contains an axes object. The axes object with title Fres = 6.0288 Hz, xlabel Frequency (Hz), ylabel Power Spectrum (dB) contains an object of type line.

Input Arguments

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Time array, specified as a vector, matrix, or N-D array. sawtooth operates along the first array dimension of t with size greater than 1.

Data Types: double

Wave maximum location, specified as a scalar between 0 and 1. xmax determines the point between 0 and 2π at which the wave reaches its maximum. The function increases from –1 to 1 on the interval 0 to 2π × xmax, then decreases linearly from 1 to –1 on the interval 2π × xmax to 2π. The shape then repeats with a period of 2π.

Example: xmax = 0.5 specifies a standard triangle wave, symmetric about time π with a peak-to-peak amplitude of 1.

Data Types: double

Output Arguments

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Sawtooth wave, returned as a vector, matrix, or N-D array.

Extended Capabilities

C/C++ Code Generation
Generate C and C++ code using MATLAB® Coder™.

Version History

Introduced before R2006a

See Also

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