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Reassignment method : ウィキペディア英語版
Reassignment method
The method of reassignment is a technique for
sharpening a time-frequency representation by mapping
the data to time-frequency coordinates that are nearer to
the true region of support of the
analyzed signal. The method has been independently
introduced by several parties under various names, including
''method of reassignment'', ''remapping'', ''time-frequency reassignment'',
and ''modified moving-window method''. In
the case of the spectrogram or the short-time Fourier transform,
the method of reassignment sharpens blurry
time-frequency data by relocating the data according to
local estimates of instantaneous frequency and group delay.
This mapping to reassigned time-frequency coordinates is
very precise for signals that are separable in time and
frequency with respect to the analysis window.
== Introduction ==

Many signals of interest have a distribution of energy that
varies in time and frequency. For example, any sound signal
having a beginning or an end has an energy distribution that
varies in time, and most sounds exhibit considerable
variation in both time and frequency over their duration.
Time-frequency representations are commonly used to analyze
or characterize such signals. They map the one-dimensional
time-domain signal into a two-dimensional function of time
and frequency. A time-frequency representation describes the
variation of spectral energy distribution over time, much as
a musical score describes the variation of musical pitch
over time.
In audio signal analysis, the spectrogram is the most
commonly used time-frequency representation, probably
because it is well-understood, and immune to so-called
"cross-terms" that sometimes make other time-frequency
representations difficult to interpret. But the windowing
operation required in spectrogram computation introduces an unsavory tradeoff between time resolution and frequency
resolution, so spectrograms provide a time-frequency
representation that is blurred in time, in frequency, or in
both dimensions. The method of time-frequency reassignment
is a technique for refocussing time-frequency data in a blurred representation like the spectrogram by mapping the
data to time-frequency coordinates that are nearer to the
true region of support of the analyzed signal.

抄文引用元・出典: フリー百科事典『 ウィキペディア(Wikipedia)
ウィキペディアで「Reassignment method」の詳細全文を読む



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