This lecture covers the Fast Fourier Transform (FFT), a fast algorithm to calculate the Discrete Fourier Transform (DFT). It explains the mathematical operations involved in FFT, such as splitting the DFT into smaller series and the complexity reduction compared to direct methods.
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Covers the theory of numerical methods for frequency estimation on deterministic signals, including Fourier series and transform, Discrete Fourier transform, and the Sampling theorem.
Covers the Fourier transform, its properties, applications in signal processing, and differential equations, emphasizing the concept of derivatives becoming multiplications in the frequency domain.
