周期信号分解与合成的教学演示程序

Demo Program of Periodic Continuous Signal Decomposition and Synthesis

为了形象地呈现周期连续信号分解为若干谐波成分或由不同的谐波合成周期信号这一过程,采用MATLAB数值计算和GUI程序设计的方法和技巧,编写了其图形用户界面程序。通过实例演示,特别是能对任意周期信号的分解和合成,验证了教学演示程序的正确性并在教学中的有效作用。通过观察信号分解和合成的过程、周期信号的对称性与谐波成分的关系,加深了对周期连续信号分解与合成的理解。展示了用MATLAB编写周期连续信号分解与合成的教学演示程序的优点。

In this paper, In order to render the image of a continuous cycle of signal decomposition into a number of harmonic components or harmonics by different synthetic periodic signal in the process, numerical calculation method of the periodic continuous signal decomposition and synthesis and corresponding GUI programming method are introduced. Through GUI simulation result, it is verified that it has great effect in teaching, especially in decomposition and synthesis of signal with arbitrary period. By observing the signal decomposition and synthesis process, periodic signal symmetry and harmonic components of the relationship and to enhance the signal of a continuous cycle of decomposition and synthesis of understanding. And these GUI demo programmed using MATLAB shows great advantages in teaching periodic continuous signal decomposition and synthesis.