MHB Function of Sawtooth Wave with Variable Peaks

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The discussion focuses on understanding the function of a sawtooth wave, characterized by its sharp peaks and troughs. The user seeks clarification on how to define the wave mathematically, particularly in terms of the distance between peaks (denoted as "a") and the height of the peaks (denoted as "b"). The sawtooth wave can be represented as a periodic function that rises linearly and then drops sharply, creating its distinctive shape. This waveform is commonly used in signal processing and synthesizers due to its rich harmonic content. The inquiry emphasizes the need for a clear mathematical representation of the sawtooth wave's characteristics.
samsami
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Hi everybody
I want to know what's the function of sinusoidal curve but with sharp peaks both positive and negative? In the other word, peaks (positive and negative) be as follows:
/\/\/\/\/\/\/\

I mean sawtooth wave, please give an answer that what's the function of the sawtooth wave as distance of between teeth be "a" and height of ones be "b" as follows:

/\/\/\/\/\/\/\ |b
_
aThanks so much.
 
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