Signals & Systems II: Fourier Transform and FFT

This lecture covers the Fourier Transform and Fast Fourier Transform (FFT) algorithms, explaining the concepts of DTFT, DFT, and FFT. It delves into the cost of implementing DFT, the dyadic algorithm, and the benefits of FFT in reducing computational complexity. The instructor discusses the iterative process of FFT, the butterfly diagram, and the division of frequencies for efficient computation. Additionally, the lecture explores the representation of signals in the frequency domain, the Dirichlet core, and the concept of unit roots in signal processing.