Convolution theorem

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Related lectures (32)

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DTFT Properties

Covers the properties of the Discrete-Time Fourier Transform, including linearity, shifts, time reversal, differentiation, convolution, conjugate symmetry, and Parseval's Relation.

Karplus-Strong revisited and the DTFT

Explores the Karplus-Strong algorithm with decay and the DTFT of signals.

Difference Equations

Covers the concept of difference equations and properties of causal vs. stable systems.

Impulse Response and Laplace Transform

Explores impulse response, Laplace transform, and their applications in dynamical systems.

Signals & Systems II: Properties and Stability

Explores properties and stability of signals and systems, including causal systems and compositional stability in convolution.

Fourier Transformation: Solving Differential Equations

Explores using Fourier transformation to solve differential equations, focusing on a specific example and deriving the solution formula step by step.

Fourier Transform and Convolution Product in Signal Processing

Explores the Fourier transform, convolution product, and their applications in signal processing.

Signals & Systems II: Fourier Transform Properties

Explores the properties of the Discrete-Time Fourier Transform in signal processing.

Sturm-Liouville Problem and Differential Equations

Covers the Sturm-Liouville problem, differential equations, and Fourier transforms for solving equations with specific conditions.

Discrete Signals & Fourier Transform

Explores discrete signals, Fourier transform, modulation, convolution, DFT properties, and signal periodicity.