We propose a simple model for the origin of pink noise (or 1/f fluctuation) based on the beat of cooperative waves. These cooperative waves arise spontaneously in a system with synchronization, resonance, and infrared divergence. Many cooperative waves with close frequencies can produce signals of arbitrary small frequencies from a system of small size. This beat mechanism can be understood as amplitude modulation. The pink noise can appear after the demodulation process, which produces a variety of pink noise in many fields. The pink noise thus formed from the beat has nothing to do with dissipation or long-time memory. We also suggest new ways of looking at pink noise in shallow earthquakes, solar flares, and stellar activities.

翻译：我们提出一个基于合作波拍频的粉红噪声（或1/f涨落）起源的简单模型。这些合作波在具有同步、共振和红外发散特性的系统中自发产生。多个频率接近的合作波能在一个小尺寸系统中产生任意小频率的信号。这种拍频机制可被理解为振幅调制。经解调过程后粉红噪声得以显现，从而在众多领域中产生各种形式的粉红噪声。这种由拍频形成的粉红噪声与耗散或长时记忆无关。我们还提出了在浅源地震、太阳耀斑和恒星活动中观察粉红噪声的新思路。