Signal Processing – Summary
                                               Frantiˇsek Gr´ezl
                                           grezl@fit.vutbr.cz
                             DCGMFITBUTBrno, ihubeika@fit.vutbr.cz
                                               FIT BUT Brno
     Signal Processing – Summary                         Frantisek Grezl, CDGM FIT BUT Brno             1/41
                                                   Agenda
      • Introduction
      • Analog signals and sampling
      • Frequency analysis of sampled signals.
      • Random signals.
      • Filters.
     Signal Processing – Summary                         Frantisek Grezl, CDGM FIT BUT Brno             2/41
                                      Why digital signal processing ?
       • reproducibility (we don’t have to think about “component tolerance”).
       • no changes due to material aging or temperature.
       • easy setup (may be difficult tuning for analog signals).
       • possible adaptive processing (“changing device functionality depending on the type of
          the signal”).
       • simulation = application.
     Signal Processing – Summary                            Frantisek Grezl, CDGM FIT BUT Brno                3/41
                                           Usual Approach
                   x(t)             x (n)      digital          y (n)              y(t)
                      ✲ A/D               ✲ processing                ✲ D/A             ✲
                                               (PC, DSP)
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                                                                       .   interpretation
                                                                           other processing...
    The input signal is continuous: function of a real-valued variable (in our case time) t, t is
    defined over the interval (−∞, ∞), △t → ∞.
    Signal Processing – Summary                        Frantisek Grezl, CDGM FIT BUT Brno          4/41