【摘要】 锯齿波、方波、三角波和梯形波都可以展开为正余弦波形的叠加。利用一个与数论有关的公式 ,给出了用锯齿波、方波、三角波和梯形波表示正余弦波形的方法 ,进一步还给出了锯齿波、方波、三角波和梯形波之间的联系。这些关系在应用中具有基本而重要的作用。更多还原

【Abstract】 It is well known that sawtooth wave, square wave, triangular wave, trapezoidal wave can be expressed as the superposition of a series of cosine or sine functions. Based on a formula related to the number theory, expansions of sine and cosine waves by means of sawtooth wave and square wave, triangular wave, trapezoidal wave are presented, and the relations between these waveforms are discussed as well. These relations play a basic and important role in applications.更多还原