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Discrete Fourier transform
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Related lectures (30)
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Fourier Transform: Analysis IV
Covers the Fourier transform in Analysis IV, discussing Fourier series and solutions for various problems.
Discrete Fourier Transform: Introduction
Introduces the discrete Fourier transform, a key tool for digital signal analysis.
Properties of Fourier and inverse Fourier transforms
Explores the properties of Fourier and inverse Fourier transforms, analyzing finite wave trains, Gaussian functions, and 3D space transformations.
Relationships between transforms
Explores the relationships between various transforms and signal embedding techniques.
Unbounded and Bounded Systems: Fourier Methods
Explores the spectral properties of unbounded and bounded systems using Fourier methods and emphasizes the importance of choosing the correct representation for different boundary conditions.
Signal Representations
Covers matrix operations, Fourier transformations, Gaussian models, and signal representations using algebraic methods.
Fourier Transform: Properties and Convolution
Covers the properties and convolution of the Fourier transform.
The Discrete Fourier Transform (DFT): Definition
Explains the practical use of the Discrete Fourier Transform (DFT) for digital signal processing.
Reciprocal lattice: Shape effects
Explains how sample geometry affects the size and shape of reciprocal lattice nodes in multiple beam scattering.
Discrete-Time Fourier Transform: Properties
Explores the properties of Discrete-Time Fourier Transform, including linearity, time and frequency shifts, time reversal, and convolution.
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