scholarly journals Mathematical and computational issues in the deconvolution of a finite‐length wavelet from a room impulse response under noisy conditions

1983 ◽  
Vol 74 (S1) ◽  
pp. S84-S84
Author(s):  
John P. Walsh
Keyword(s):  
Impulse Response ◽  
Finite Length ◽  
Noisy Conditions

scholarly journals A Method for Improving the Accuracy of Natural Frequency Measurement Using In-the-loop Computing

2021 ◽  
Vol 21 (4) ◽  
pp. 93-98
Author(s):  
Adam Kotowski
Keyword(s):  
Natural Frequency ◽  
Impulse Response ◽  
Finite Length ◽  
Spectral Resolution ◽  
Natural Frequencies ◽  
Reference Method ◽  
Frequency Measurement ◽  
Frequency Resolution ◽  
Zero Padding

Abstract The method presented in the paper is based on in-the-loop computing applied for impulse response to obtain a spectrum with a much higher frequency resolution than using FFT. Then, higher spectrum frequency resolution results in greater accuracy in estimation of natural frequencies. The frequency resolution of estimated spectrum in this method is completely independent of the length of impulse response and, by extension, the method eliminates the problem of spectral resolution limitation using FFT due to finite length of recorded signals. This fact is very useful and is the main advantage of the proposed method. The results of the method have been shown and compared in quantitative terms to natural frequencies estimated using classical FFT with zero-padding as reference method.

Reply by the authors to A. Walden and R. White

Geophysics ◽  
1988 ◽  
Vol 53 (11) ◽  
pp. 1491-1492
Author(s):  
Anton Ziolkowski ◽  
Jacob Fokkema
Keyword(s):  
Impulse Response ◽  
Finite Length ◽  
Statistical Properties ◽  
Finite Segment ◽  
The Earth ◽  
Response Formula

We thank Andrew Walden and Roy White for their interest in our paper and their explanation of the practical whiteness assumption in deconvolution. As we understand it, what they are saying is this: True whiteness is not at issue when we are dealing with finite chunks of data. The only thing that matters is whether the statistical properties of a finite segment of the impulse response of the earth (what Walden and White call the reflection response [Formula: see text]) are those of a finite length sample from an uncorrelated sequence. Quite. And how are we going to find that out unless we first do the signature deconvolution with a known signature? In other words, we can only test this assumption in circumstances where we have no need of it.

Influence of the Test Voltage Function over Lightning Impulse Response Parameters Measured by Long Cable

2018 ◽  
Vol 138 (3) ◽  
pp. 242-248 ◽  
Author(s):  
Shuji Sato ◽  
Seisuke Nishimura ◽  
Hiroyuki Shimizu ◽  
Hisatoshi Ikeda
Keyword(s):  
Impulse Response ◽  
Lightning Impulse ◽  
Test Voltage
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