Description: Passive and negative discrete Fourier transform expressions are a key part of signal analysis.
X () (3.9) (3.10)
When the LTI system is used for filtering, the frequency response of the discrete time Fourier as an impulse response provides an indirect description of the LTI system. Discrete time Fourier transform X () is the periodic complex function of w, the period is always 2π, and the base period is usually selected in the interval [-π, π]. There are two problems with the discrete-time Fourier transform DTFT: 1. The definition of DTFT is valid for infinite length signals. 2. DTFT is a function of continuous variable w In MATLAB, any signal (vector) must be finite length, so DTFT can not be directly calculated using MATLAB. When you can derive the analytic the transformation definition and calculate it, you can use MATLAB to calculate. The second problem is frequency sampling. MATLAB is good at calculating DTFTs at wired network points and usually selecting enough frequen
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