This lecture covers the fundamentals of signals and systems, including topics such as rectangular and triangular shaped signals, b-spline functions, Fourier transformations, and periodic signals. It also discusses the properties of signals, such as non-negativity and partition of the unit.
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Explores the concept of scrambling in quantum chaotic systems, connecting classical chaos to quantum chaos and emphasizing sensitivity to initial conditions.
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.