Non-linear embedding of acoustic cross-spectral density matrices through diffusion maps

2020 ◽  
Vol 148 (6) ◽  
pp. 3497-3508
Author(s):  
Steven Finette
Keyword(s):  
Spectral Density ◽  
Diffusion Maps ◽  
Density Matrices ◽  
Cross Spectral Density ◽  
Non Linear ◽  
Linear Embedding ◽  
Through Diffusion

On genuine cross-spectral density matrices

2009 ◽  
Vol 11 (8) ◽  
pp. 085706 ◽  
Author(s):  
F Gori ◽  
V Ramírez-Sánchez ◽  
M Santarsiero ◽  
T Shirai
Keyword(s):  
Spectral Density ◽  
Density Matrices ◽  
Cross Spectral Density

Elementary-field expansions of genuine cross-spectral density matrices

2009 ◽  
Vol 34 (15) ◽  
pp. 2303 ◽  
Author(s):  
Rosario Martínez-Herrero ◽  
Pedro M. Mejías
Keyword(s):  
Spectral Density ◽  
Density Matrices ◽  
Cross Spectral Density ◽  
Elementary Field

A New Random Data Description and Its Use in Transferring Road Roughness to Vehicle Response

1974 ◽  
Vol 96 (2) ◽  
pp. 676-679 ◽  
Author(s):  
J. C. Wambold ◽  
W. H. Park ◽  
R. G. Vashlishan
Keyword(s):  
Spectral Density ◽  
Frequency Distribution ◽  
Descriptive Analysis ◽  
Joint Probability ◽  
Amplitude Distribution ◽  
Matrix Functions ◽  
Initial Portion ◽  
Power Spectral ◽  
Road Roughness ◽  
Cross Spectral Density

The initial portion of the paper discusses the more conventional method of obtaining a vehicle transfer function where phase and magnitude are determined by dividing the cross spectral density of the input/output by the power spectral density (PSD) of the input. The authors needed a more descriptive analysis (over PSD) and developed a new signal description called Amplitude Frequency Distribution (AFD); a discrete joint probability of amplitude and frequency with the advantage of retaining amplitude distribution as well as frequency distribution. A better understanding was obtained, and transfer matrix functions were developed using AFD.

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