Lista de secções

  • The first theme of this week addresses the DFT-based computation of auto- and cross-correlation. As the first lecture cannot be held (due to the Dec 1st holiday), the slides+videos+notes covering this theme should be used by all Students as self-study.

    The second lecture this week involves only whiteboard-based analytical developments and explanations (i.e. no slides) on the following themes: the DFT as a uniform filter-bank, and introduction to spectrum estimation.

    Specifically, we will present the filter bank interpretation of the DFT, in particular, by addressing the frequency response of each DFT channel. There are no supporting slides. At the end of the class, it should be clear to all attending Students why we say: «The DFT is a filter bank of uniformly frequency-modulated filters whose frequency responses depend on the Fourier Transform of the window that is used to multiply the signal under analysis». 

    Time permitting, we will also address and illustrate how we can use the FFT to perform a special form of spectrum estimation: the spectrogram. It should be clear to all attending Students how the spectrogram is obtained and what information it conveys. This part is not covered by supporting slides.