Author: Odilyn L. Santa Maria
Publisher:
ISBN:
Category : Helicopters
Languages : en
Pages : 70
Book Description
Two-Dimensional Fourier Transform Applied to Helicopter Flyover Noise
Author: Odilyn L. Santa Maria
Publisher:
ISBN:
Category : Helicopters
Languages : en
Pages : 70
Book Description
Publisher:
ISBN:
Category : Helicopters
Languages : en
Pages : 70
Book Description
Two-Dimensional Fourier Transform Applied to Helicopter Flyover Noise
Author: National Aeronautics and Space Administration (NASA)
Publisher: Createspace Independent Publishing Platform
ISBN: 9781721033706
Category :
Languages : en
Pages : 64
Book Description
A method to separate main rotor and tail rotor noise from a helicopter in flight is explored. Being the sum of two periodic signals of disproportionate, or incommensurate frequencies, helicopter noise is neither periodic nor stationary, but possibly harmonizable. The single Fourier transform divides signal energy into frequency bins of equal size. Incommensurate frequencies are therefore not adequately represented by any one chosen data block size. A two-dimensional Fourier analysis method is used to show helicopter noise as harmonizable. The two-dimensional spectral analysis method is first applied to simulated signals. This initial analysis gives an idea of the characteristics of the two-dimensional autocorrelations and spectra. Data from a helicopter flight test is analyzed in two dimensions. The test aircraft are a Boeing MD902 Explorer (no tail rotor) and a Sikorsky S-76 (4-bladed tail rotor). The results show that the main rotor and tail rotor signals can indeed be separated in the two-dimensional Fourier transform spectrum. The separation occurs along the diagonals associated with the frequencies of interest. These diagonals are individual spectra containing only information related to one particular frequency.Santa Maria, Odilyn L.Langley Research CenterFOURIER TRANSFORMATION; AIRCRAFT NOISE; FOURIER ANALYSIS; AERODYNAMIC NOISE; AEROACOUSTICS; HELICOPTERS; SPECTRUM ANALYSIS; FLIGHT TESTS; TAIL ROTORS
Publisher: Createspace Independent Publishing Platform
ISBN: 9781721033706
Category :
Languages : en
Pages : 64
Book Description
A method to separate main rotor and tail rotor noise from a helicopter in flight is explored. Being the sum of two periodic signals of disproportionate, or incommensurate frequencies, helicopter noise is neither periodic nor stationary, but possibly harmonizable. The single Fourier transform divides signal energy into frequency bins of equal size. Incommensurate frequencies are therefore not adequately represented by any one chosen data block size. A two-dimensional Fourier analysis method is used to show helicopter noise as harmonizable. The two-dimensional spectral analysis method is first applied to simulated signals. This initial analysis gives an idea of the characteristics of the two-dimensional autocorrelations and spectra. Data from a helicopter flight test is analyzed in two dimensions. The test aircraft are a Boeing MD902 Explorer (no tail rotor) and a Sikorsky S-76 (4-bladed tail rotor). The results show that the main rotor and tail rotor signals can indeed be separated in the two-dimensional Fourier transform spectrum. The separation occurs along the diagonals associated with the frequencies of interest. These diagonals are individual spectra containing only information related to one particular frequency.Santa Maria, Odilyn L.Langley Research CenterFOURIER TRANSFORMATION; AIRCRAFT NOISE; FOURIER ANALYSIS; AERODYNAMIC NOISE; AEROACOUSTICS; HELICOPTERS; SPECTRUM ANALYSIS; FLIGHT TESTS; TAIL ROTORS
NASA Langley Scientific and Technical Information Output: 1999
Author:
Publisher:
ISBN:
Category : Astronautics
Languages : en
Pages : 182
Book Description
Publisher:
ISBN:
Category : Astronautics
Languages : en
Pages : 182
Book Description
Monthly Catalog of United States Government Publications
Author:
Publisher:
ISBN:
Category : Government publications
Languages : en
Pages : 776
Book Description
Publisher:
ISBN:
Category : Government publications
Languages : en
Pages : 776
Book Description
Scientific and Technical Aerospace Reports
Author:
Publisher:
ISBN:
Category : Aeronautics
Languages : en
Pages : 304
Book Description
Publisher:
ISBN:
Category : Aeronautics
Languages : en
Pages : 304
Book Description
International Aerospace Abstracts
Author:
Publisher:
ISBN:
Category : Aeronautics
Languages : en
Pages : 1042
Book Description
Publisher:
ISBN:
Category : Aeronautics
Languages : en
Pages : 1042
Book Description
Vertiflite
Author:
Publisher:
ISBN:
Category : Helicopter
Languages : en
Pages : 1180
Book Description
Publisher:
ISBN:
Category : Helicopter
Languages : en
Pages : 1180
Book Description
Verti-flite
Author:
Publisher:
ISBN:
Category : Helicopters
Languages : en
Pages : 594
Book Description
Publisher:
ISBN:
Category : Helicopters
Languages : en
Pages : 594
Book Description
Computation of Two-Dimensional Fourier Transforms for Noisy Band-Limited Signals
Author: Weidong Chen
Publisher:
ISBN:
Category : Electronic books
Languages : en
Pages : 0
Book Description
The computation of the two-dimensional Fourier transform by the sampling points creates an ill-posed problem. In this chapter, we will cover this problem for the band-limited signals in the noisy case. We will present a regularized algorithm based on the two-dimensional Shannon Sampling Theorem, the two-dimensional Fourier series, and the regularization method. First, we prove the convergence property of the regularized solution according to the maximum norm. Then an error estimation is given according to the L2-norm. The convergence property of the regularized Fourier series is given in theory, and some examples are given to compare the numerical results of the regularized Fourier series with the numerical results of the Fourier series.
Publisher:
ISBN:
Category : Electronic books
Languages : en
Pages : 0
Book Description
The computation of the two-dimensional Fourier transform by the sampling points creates an ill-posed problem. In this chapter, we will cover this problem for the band-limited signals in the noisy case. We will present a regularized algorithm based on the two-dimensional Shannon Sampling Theorem, the two-dimensional Fourier series, and the regularization method. First, we prove the convergence property of the regularized solution according to the maximum norm. Then an error estimation is given according to the L2-norm. The convergence property of the regularized Fourier series is given in theory, and some examples are given to compare the numerical results of the regularized Fourier series with the numerical results of the Fourier series.
Inversion-Based Fourier Transform as a New Tool for Noise Rejection
Author: Mihály Dobróka
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages :
Book Description
In this study, a new inversion method is presented for performing two-dimensional (2D) Fourier transform. The discretization of the continuous Fourier spectra is given by a series expansion with the scaled Hermite functions as square-integrable set of basis functions. The expansion coefficients are determined by solving an overdetermined inverse problem. In order to define a quick algorithm in calculating the Jacobian matrix of the problem, the special feature that the Hermite functions are eigenfunctions of the Fourier transformation is used. In the field of inverse problem theory, there are numerous procedures for noise rejection, so if the Fourier transformation is formulated as an inverse problem, these tools can be used to reduce the noise sensitivity. It was demonstrated in many case studies that the use of Cauchy-Steiner weights could increase the noise rejection capability of geophysical inversion methods. Following this idea, the two-dimensional Fourier transform is formulated as an iteratively reweighted least squares (IRLS) problem using Cauchy-Steiner weights. The new procedure is numerically tested using synthetic data.
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages :
Book Description
In this study, a new inversion method is presented for performing two-dimensional (2D) Fourier transform. The discretization of the continuous Fourier spectra is given by a series expansion with the scaled Hermite functions as square-integrable set of basis functions. The expansion coefficients are determined by solving an overdetermined inverse problem. In order to define a quick algorithm in calculating the Jacobian matrix of the problem, the special feature that the Hermite functions are eigenfunctions of the Fourier transformation is used. In the field of inverse problem theory, there are numerous procedures for noise rejection, so if the Fourier transformation is formulated as an inverse problem, these tools can be used to reduce the noise sensitivity. It was demonstrated in many case studies that the use of Cauchy-Steiner weights could increase the noise rejection capability of geophysical inversion methods. Following this idea, the two-dimensional Fourier transform is formulated as an iteratively reweighted least squares (IRLS) problem using Cauchy-Steiner weights. The new procedure is numerically tested using synthetic data.