Continuous time LTI system analysis based on complex frequency domain

Complex frequency domain analysis of the continuous time LTI system is an important concept of signal and system analysis, which may be used to solve zero-state response and zero-input response of the system under the action of arbitrary drive, thereby it is very important to master the solving method. Here the S domain analysis of the continuous time system and the solving methods of all responses are discussed combined with examples, and the relation between the pole location and impulse response waveform is reflected. The relation between the Laplace transformation and the Fourier transform is analyzed with the 3-D surface chart, and the properties of Laplace transformation are analyzed intuitively, it is of great significance for skilled grasping and applying the analysis method of signal and system complex frequency domain.