Function of Sawtooth Wave with Variable Peaks

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SUMMARY

The discussion centers on the mathematical function of a sawtooth wave, characterized by its sharp peaks and linear rise and fall. The user seeks clarification on how to define the sawtooth wave in terms of two parameters: the distance between the peaks, denoted as "a," and the height of the peaks, denoted as "b." The sawtooth wave can be mathematically represented as a periodic function, which alternates between a linear increase and a sudden drop, making it distinct from other waveforms like the triangle wave.

PREREQUISITES
  • Understanding of periodic functions
  • Familiarity with waveforms in signal processing
  • Basic knowledge of mathematical representation of functions
  • Concept of amplitude and frequency in waveforms
NEXT STEPS
  • Research the mathematical representation of sawtooth waves in Fourier series
  • Explore the applications of sawtooth waves in audio synthesis
  • Learn about the differences between sawtooth waves and triangle waves
  • Investigate the impact of varying parameters "a" and "b" on the waveform shape
USEFUL FOR

Engineers, audio designers, and students in signal processing or electrical engineering who are interested in waveform analysis and synthesis.

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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