Скачать с ютуб Response of linear, causal, time invariant system: Convolution, impulse response, Fourier transform в хорошем качестве

Response of linear, causal, time invariant system: Convolution, impulse response, Fourier transform

Many physical systems in real life can be described by a linear, causal and time invariant model, such as mechanical, audio, and electrical systems. We discuss the governing equations for such a linear, causal and time invariant system, which relates the input and output functions in the time and frequency domain. We discuss the physical intuition why the time domain output response is described by convolution of the input function and the system impulse response. We derived the elegant frequency domain response via Fourier transformation. Lastly, we prove that the generalized response function must be analytic over the upper or lower half complex frequency plane. Technical Content: Tony Low Video Production: Katie Low, Tony Low