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Reduction of noise and bias in randomly sampled power spectra

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TLDR
In this article, the authors consider the origin of noise and distortion in power spectral estimates of randomly sampled data, specifically velocity data measured with a burst-mode laser Doppler anemometer.
Abstract
We consider the origin of noise and distortion in power spectral estimates of randomly sampled data, specifically velocity data measured with a burst-mode laser Doppler anemometer. The analysis guides us to new ways of reducing noise and removing spectral bias, e.g., distortions caused by modifications of the ideal Poisson sample rate caused by dead time effects and correlations between velocity and sample rate. The noise and dead time effects for finite records are shown to tend to previous results for infinite time records and ensemble averages. For finite records, we show that the measured sampling function can be used to correct the spectra for noise and dead time effects by a deconvolution process. We also describe a novel version of a power spectral estimator based on a fast slotted autocovariance algorithm.

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Citations
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Journal ArticleDOI

Dynamics of premixed swirl flames under the influence of transverse acoustic fluctuations

TL;DR: In this paper, a generic swirl-stabilized premixed flame was subjected to transverse acoustic pressure fluctuations by generating controlled standing acoustic modes in this combustor, and the results revealed that flame response to these pressure fluctuations is quantitatively different when compared to axial forcing for low frequencies.
Journal ArticleDOI

Measurement of turbulent spatial structure and kinetic energy spectrum by exact temporal-to-spatial mapping.

TL;DR: In this article, the authors present a method for converting a time record of turbulent velocity measured at a point in a flow to a spatial velocity record consisting of consecutive convection elements, allowing computation of dynamic statistical moments such as turbulent kinetic wavenumber spectra and spatial structure functions.
Journal ArticleDOI

Measurement of turbulent spatial structure and kinetic energy spectrum by exact temporal-to-spatial mapping

TL;DR: In this article, the authors present a method for converting a time record of turbulent velocity measured at a point in a flow to a spatial velocity record consisting of consecutive convection elements, allowing computation of dynamic statistical moments such as turbulent kinetic wavenumber spectra and spatial structure functions.
Journal ArticleDOI

Measurement of acoustic velocity components in a turbulent flow using LDV and high-repetition rate PIV

TL;DR: In this article, the authors provide theoretical details and experimental validation results to the approach proposed by Minotti et al. for measuring amplitudes and phases of acoustic velocity components (AVC) that are waveform parameters of each component of velocity induced by an acoustic wave, in fully turbulent duct flows carrying multitone acoustic waves.
Journal ArticleDOI

A fair review of non-parametric bias-free autocorrelation and spectral methods for randomly sampled data in laser Doppler velocimetry

TL;DR: A comparison of currently available methods for non-parametric and bias-free estimation of the autocorrelation function and power spectral density from randomly sampled data indicates that the available methods are interchangeable and indicate a possible replacement for the current best-practice procedure in the laser Doppler community.
References
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Book

The Measurement Of Power Spectra: From The Point Of View Of Communications Engineering

TL;DR: This account attempts to provide and relate the necessary ideas and techniques in reasonable detail to develop the insight necessary to plan both the acquisition of adequate data and sound procedures for its reduction to meaningful estimates.

Principles and practice of laser-Doppler anemometry

TL;DR: In this article, the Doppler Reference Record (DRR) was used for anemometrie a : laser a : anemometry a: laser a: anemometric a: a : a : light anemometer b : laser A : laser
Book

Principles and practice of laser-Doppler anemometry

TL;DR: In this paper, the Doppler Reference Record (DRR) was used for anemometrie a : laser a : anemometry a: laser a: anemometric a: a : a : light anemometer b : laser A : laser
Book

Laser Doppler and Phase Doppler Measurement Techniques

TL;DR: In this article, the basic measuring principles of light propagation and light scattering from small particles are discussed, along with the fundamental principles of data processing and data generation in laser and phase doppler systems.
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