Lecture

Parseval Relations and Fourier Transform

Related lectures (39)
Stationarity in Stochastic Processes
Explores stationarity in stochastic processes, showcasing how statistical characteristics remain constant over time and the implications on random variables and Fourier transforms.
Signals and Systems I: Symmetry Relations and Modulation
Explores symmetry relations, modulation, Fourier transform properties, and integration methods in signals and systems.
Signals & Systems I: Fourier Transform and Dirac Pulse
Explores Fourier transformation, sign function, Dirac pulse, series development, and periodic signal synthesis.
Statistical Signal Processing Tools
Explores statistical signal processing tools for wireless communications, including spectral estimation and signal detection, classification, and adaptive filtering.
Fourier Series: Complex Case
Covers the calculation of Fourier coefficients for periodic complex signals and the concept of a complete orthonormal system.
Signals & Systems I: Fourier Integral Series
Explores the Fourier integral series, convergence, non-periodic signals, symmetry relations, and practical applications in signals & systems.
Causal Systems & Transforms: Delay Operator Interpretation
Covers z Variable as a Delay Operator, realizable systems, probability theory, stochastic processes, and Hilbert Spaces.
Fourier Transform Applications: Image Processing Basics
Covers image processing basics, Fourier transformation, convolution, cross-correlation, and 3D reconstruction using the Radon projection theorem.
Signals & Systems I: Rectangular & Triangular Signals
Explores periodic and non-periodic rectangular and triangular signals, along with 'b-spline' functions and their properties.
Signals & Systems I: Fourier Analysis
Explores Fourier analysis, including reconstruction formula, Fourier series, and spectrum interpretation.

Graph Chatbot

Chat with Graph Search

Ask any question about EPFL courses, lectures, exercises, research, news, etc. or try the example questions below.

DISCLAIMER: The Graph Chatbot is not programmed to provide explicit or categorical answers to your questions. Rather, it transforms your questions into API requests that are distributed across the various IT services officially administered by EPFL. Its purpose is solely to collect and recommend relevant references to content that you can explore to help you answer your questions.