Two-Dimensional Fourier Transform Applied to Helicopter Flyover Noise

Two-Dimensional Fourier Transform Applied to Helicopter Flyover Noise
Author: National Aeronautics and Space Administration (NASA)
Publisher: Createspace Independent Publishing Platform
Total Pages: 64
Release: 2018-06-12
Genre:
ISBN: 9781721033706

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

Vertiflite

Vertiflite
Author:
Publisher:
Total Pages: 1180
Release: 1998
Genre: Helicopter
ISBN:

Inversion-Based Fourier Transform as a New Tool for Noise Rejection

Inversion-Based Fourier Transform as a New Tool for Noise Rejection
Author: Mihály Dobróka
Publisher:
Total Pages:
Release: 2017
Genre: Mathematics
ISBN:

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.