Lecture

Frequency Estimation in Deterministic Case (Low Noise)

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In course

ME-301: Measurement techniques

Theoretical and practical course on experimental techniques for observation and measurement of physical variables such as force, strain, temperature, flow velocity, structural deformation and vibrations, etc. ...

Description

This lecture covers numerical experiments for frequency estimation in mainly deterministic signals using Discrete Fourier Transform (DFT). Topics include spectral resolution, damped sinusoid, and signal processing of deterministic signals.

Instructors (2)

Kossi Agbeviade

Karen Ann J Mulleners

Expertise experimental fluid dynamics, unsteady aerodynamics, vortex dynamics, flow separation Karen Mulleners is an associate professor in the institute of mechanical engineering in the school of engineering at EPFL. She is the head of the unsteady flow diagnostics laboratory (UNFoLD). She is an experimental fluid dynamicist who focuses on unfolding the origin and development of unsteady flow separation and vortex formation. Karen studied physics in Belgium (Hasselt University, previously Limburgs Universi

Official source

Ontological neighbourhood

Information engineering

Signal processing: Fourier analysis

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Non-uniform discrete Fourier transform

In applied mathematics, the nonuniform discrete Fourier transform (NUDFT or NDFT) of a signal is a type of Fourier transform, related to a discrete Fourier transform or discrete-time Fourier transform, but in which the input signal is not sampled at equally spaced points or frequencies (or both). It is a generalization of the shifted DFT. It has important applications in signal processing, magnetic resonance imaging, and the numerical solution of partial differential equations.

Discrete Fourier transform over a ring

In mathematics, the discrete Fourier transform over a ring generalizes the discrete Fourier transform (DFT), of a function whose values are commonly complex numbers, over an arbitrary ring. Let R be any ring, let be an integer, and let be a principal nth root of unity, defined by: The discrete Fourier transform maps an n-tuple of elements of R to another n-tuple of elements of R according to the following formula: By convention, the tuple is said to be in the time domain and the index j is called time.

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