This video introduces an arithmetic approach to explaining the Discrete Fourier Transform (DFT), focusing on summation and multiplication. This is probably how it should be taught in lectures before diving into complex math.
00:27 - Sinusoidal and Rectangular Waveforms
02:22 - Analyzing 2 Hz Rectangular Waveform Using Multiplication
09:02 - Amplitude Spectrum of 2 Hz Rectangular Waveform
10:04 - Analyzing 2 Hz Rectangular Waveform Shifted By 90 Degrees
12:46 - Second Spectrum Using Reference Waveform Shifted By 90 Degrees
13:16 - Combining Two Spectrums for 2 Hz 90-Degree Shifted Waveform
14:00 - Analyzing 1 Hz Rectangular Waveform Shifted By 45 Degrees
17:14 - Shifting 1Hz Reference Waveform By 90 Degrees
18:16 - Combining Two Spectrums for 1 Hz 90-Degree Shifted Waveform
19:21 - Analyzing 1 Hz Sinusoidal Signal Using Multiplication
26:52 - Analyzing 1 Hz Sinusoidal Signal (Reference Shifted By 90 Degrees)
32:50 - Combining Two Spectrums for 1 Hz Sinusoidal Waveform
35:22 - Why Sinusoidal Signal Amplitude Should Be Multiplied By 2
36:46 - Zero Frequency

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