1. Discrete Fourier Transform (DFT)
Because every piece of data ever collected in any lab is discrete

2. Cool Fourier Animations!
Basic idea of Fourier Analysis
Trippy animation!
Cool Fourier Animations!

4. Continuous Function vs. Discrete Sampling
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5. Continuous vs Discrete
2T periodic
Discrete x(k) k
Continuous vs Discrete
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6. f(t) = continuous time signal f(k) = discrete time signal k = integer time index ts = sampling period fs = 1/ts = sampling frequency 2T = fundamental period of f(t) N = number of samples to complete 1 oscillation at fundamental period 2T = Nts n = harmonic number
Definitions for DFT

7. Nyquist Frequency
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