Discrete Signals and Systems II: Fourier Transform Properties

This lecture covers the properties of the discrete Fourier transform (DFT) and its relationship with the continuous-time Fourier transform. It explains the definition of DFT, its matrix representation, and the calculation of the Fourier transform for n-periodic signals. The lecture also discusses DFT reversal, DTFT resampling, and the link between DFT and continuous-time Fourier transform. Additionally, it explores the interpolation formula for non-periodic signals and the concept of cyclic convolution. The instructor emphasizes the importance of understanding the DFT properties and its applications in signal processing.