Abstract
This lecture overviews the topics of continuous-time periodic signals, signal frequencies and Fourier Transform (FT). Its relation to Laplace transform is presented. Notable FT properties are review: time shift, time scaling, convolution, signal differentiation/integration, energy preservation. Its use in defining Linear Time-Invariant (LTI) continuous-time systems frequency response is presented. Various types of such systems, notably low-pass, high-pass, band-pass are presented with examples (e.g., RC and RLC electric filters).
Ideal band-pass filter.
Frequency response magnitude of an RC filter.
Fourier-Transform-v3.5-Summary