GSAWTOOTH

Purpose:

Generates a sawtooth wave.

Syntax:

GSAWTOOTH(length, spacing, frequency, phase, width, duty)

length	-	An integer, the length of the output series.
spacing	-	A real, the spacing (delta x) between each point on the x-axis.
frequency	-	Optional. A real, the frequency specified in cycles per second (Hertz). Defaults to 1.
phase	-	Optional. A real, the phase specified in radians. Defaults to 0.
width	-	Optional. A real between 0 and 1. The fraction of the sawtooth period where the maximum value occurs. Defaults to 1.0.
duty	-	Optional. A real, between 0 and 100. The duty cycle, the percentage of a period the sawtooth is "on". Defaults to 100.0.

Returns:

A series.

Example:

gsawtooth(1000, 1/1000, 3)

Generates 1000 points of a 3 Hz sawtooth with a sample rate of 1000 Hz. The peak value occurs at the end of each period.

Example:

W1: gsawtooth(1000, 1/1000, 4)

W2: gtriwave(1000, 1/1000, 4);overp(w1, lred)

W1 contains 1000 points of an 4 Hz sawtooth with a sample rate of 1000 Hz. W2 contains 1000 points of an 4 Hz triangle wave with a sample rate of 1000 Hz. The overplot provides a graphical comparison.

Example:

W1: gsawtooth(1000, 1/1000, 1, 0, 0.8)

W2: gsawtooth(1000, 1/1000, 1, 0, 0.5)

W3: gsawtooth(1000, 1/1000, 1, 0, 0.2)

W4: gsawtooth(1000, 1/1000, 1);overp(w1, w2, w3)

legend(W4, 0.05, 1.1, "Width:1.0", "Width:0.8", "Width:0.5", "Width:0.2")

W1 through W4 contain 1000 points of an 1 Hz sawtooth with a sample rate of 1000 Hz. The width parameter for each sawtooth is set to 0.8, 0.5, 0.2 and 1.0 respectively. The overplot in W4 provides a graphical comparison of the effect of the differing sawtooth widths.

Remarks:

The sawtooth is normalized with an amplitude between 0.0 and 1.0. The leading edge of the sawtooth rises monotonically.

See GTRIWAVE to generate a triangle wave.

GSAWTOOTH

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