This lecture covers the concept of Region of Convergence (ROC) for rational transforms, illustrating cases with multiple poles and finite duration examples. It explains the properties of ROC, including its shape, boundedness, and relation to the unit circle.
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Covers the Fourier transform, its properties, applications in signal processing, and differential equations, emphasizing the concept of derivatives becoming multiplications in the frequency domain.
Covers the theory of numerical methods for frequency estimation on deterministic signals, including Fourier series and transform, Discrete Fourier transform, and the Sampling theorem.