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<blockquote data-quote="Mark DeArman" data-source="post: 42356" data-attributes="member: 950">Re: First post for meHilbert Value Decomposition is very similar to how Time Delay Spectrometry based systems work and really has nothing to do with normal convolution used in Fourier based analysis.&nbsp; The &quot;Hilbert&quot; in its name simply refers to the quadrature sine wave used in this method to find the instantaneous frequency and envelope curve.There is a rather inexpensive book by Cohen which is an excellent introduction to the 3-d time frequency representations.&nbsp; It is really quite readable if you just skip over the heavy mathematics.<a href="http://www.amazon.com/Time-Frequency-Analysis-Theory-Applications/dp/0135945321/ref=sr_1_1?ie=UTF8&amp;qid=1323896062&amp;sr=8-1" target="_blank">http://www.amazon.com/Time-Frequency-Analysis-Theory-Applications/dp/0135945321/ref=sr_1_1?ie=UTF8&amp;qid=1323896062&amp;sr=8-1</a>As far as applications which show off the 3-d methods the only one which comes to mind is Listen Inc.&#039;s SoundMap.The Wavelet TFR is really a poor choice for sub woofers because the resolution at low frequency is in favor of frequency and not time.</blockquote>

[QUOTE="Mark DeArman, post: 42356, member: 950"] Re: First post for me Hilbert Value Decomposition is very similar to how Time Delay Spectrometry based systems work and really has nothing to do with normal convolution used in Fourier based analysis. The "Hilbert" in its name simply refers to the quadrature sine wave used in this method to find the instantaneous frequency and envelope curve. There is a rather inexpensive book by Cohen which is an excellent introduction to the 3-d time frequency representations. It is really quite readable if you just skip over the heavy mathematics. [URL]http://www.amazon.com/Time-Frequency-Analysis-Theory-Applications/dp/0135945321/ref=sr_1_1?ie=UTF8&qid=1323896062&sr=8-1[/URL] As far as applications which show off the 3-d methods the only one which comes to mind is Listen Inc.'s SoundMap. The Wavelet TFR is really a poor choice for sub woofers because the resolution at low frequency is in favor of frequency and not time. [/QUOTE]

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