Triangle

Triangle wave equation

Triangle wave equation

A triangle wave with period p and amplitude a can be expressed in terms of sine and arcsine (whose value ranges from −π/2 to π/2): y ( x ) = 2 a π arcsin ⁡ ( sin ⁡ ( 2 π p x ) ) .

  1. What is triangular wave function?
  2. What makes a triangle wave?
  3. What is the spectrum of a triangle wave?

What is triangular wave function?

A triangular wave or triangle wave is a non-sinusoidal waveform named for its triangular shape. It is a periodic, piecewise linear, continuous real function. Triangle wave. A bandlimited triangle wave pictured in the time domain (top) and frequency domain (bottom). The fundamental is at 220 Hz (A3).

What makes a triangle wave?

Triangular waves or waveforms are often found within electronics and are used for a variety of purposes. A triangular waveform consists of a pair of consecutive straight ramps moving in opposite directions, where the voltage of variable first moves up and then down.

What is the spectrum of a triangle wave?

The harmonics of a triangle wave are all odd multiples of the fundamental frequency, in this example 600, 1000, 1400, etc. Another feature of this spectrum is the relationship between the amplitude and frequency of the harmonics. Their amplitude drops off in proportion to frequency squared.

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