典型信号傅里叶分析及仿真实现

Fourier Analysis and Simulation of Typical Signals

在信号分析和处理过程中,经常遇到时域和频域的对比分析,对于确定性信号,傅里叶变换是解决这类问题的主要手段。这里主要选择三角频谱作为频域带限信号,遵循一定的思路将复杂问题简单化,比如将三角脉冲信号看作两个矩形脉冲信号卷积的结果,或者采用对信号进行先微分、后积分的思想都可以使问题得到简化,从而大大减小了运算量,提高了运算效率。最后用仿真软件给出波形图以利于观察。

The comparative analysis in the time domain and frequency domain is often met in signal analysis and processing. Fourier transform is the main method to solve this kind of problem for certainty signals. The triangle spectrum is chosen as limited signals in frequency domain. A certain idea is abided to simplify the complex problem： take the triangle pulse signal as convolution results of two rectangular pulse signals, or make the problem simplified by using the signal integral after differential. It can reduce the amount of computation greatly and improve the computational efficiency. A waveform figure is given by the aid of a simulation software to favor the observation.