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词汇 Triangle wave
分类 英语词汇 英语翻译词典
释义

Triangle wave

中文百科

三角波

大量谐波叠加生成三角波的过程动画演示。对于该过程的数学描述，请参阅傅里叶变换。
正弦波、方波、三角波和锯齿波的波形

三角波（英语：triangle wave）是一种非正弦波，其波形是三角形，因此得名。它具有周期性、分段连续性，并且是一个实函数。

三角波的无穷傅里叶级数展开为：

\begin{align} x_\mathrm{triangle}(t) & {} = \frac {8}{\pi^2} \sum_{k=0}^\infty (-1)^k \, \frac{ \sin \left( (2k+1) t \right)}{(2k+1)^2} \\ & {} = \frac{8}{\pi^2} \left( \sin ( t)1 \over 9} \sin (3 t)+{1 \over 25} \sin (5 t) - \cdots \right) \end{align}
  • 锯齿波
  • 方波
英语百科

Triangle wave 三角波

A bandlimited triangle wave pictured in the time domain (top) and frequency domain (bottom). The fundamental is at 220 Hz (A3).
Animation of the additive synthesis of a triangle wave with an increasing number of harmonics. See Fourier Analysis for a mathematical description.
Sine, square, triangle, and sawtooth waveforms

A triangle wave is a non-sinusoidal waveform named for its triangular shape. It is a periodic, piecewise linear, continuous real function.

Like a square wave, the triangle wave contains only odd harmonics, demonstrating odd symmetry. However, the higher harmonics roll off much faster than in a square wave (proportional to the inverse square of the harmonic number as opposed to just the inverse).
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