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Let's say that you have two tones, that are close, but far enough
apart that their main lobe do not overlap. However, one signal is
very large and the other is small. What you care about is that all
of the side lobes have as much attentuation as possible, so that the
leakage from the big signal does not overwhelm the small signal. This
is opposite to a high resolution window and is called a high dynamic
range window.
An example is shown in figure 19. In
this example we have a 1 Hz bin width, a signal with amplitude 1 at
5.5 Hz, and a signal with amplitude 0.0015 at 13.5 Hz (i.e. 8 bins
away). The rectangular window is really bad here. We cannot even see
the small 13.5 Hz at all. The Kaiser is better. We can at least see
that something is going on at 13.5, although we don't the true picture.
The Hann window is the best, we can see the 13.5 Hz as a distinct
peak with correct amplitude. Compare this back to figure 18
and look at amplitude at 8.5 bins. The attentuation of the Hann window
is just below 0.001, whereas the attentuation of Kaiser is well above
it.
Figure 19:
Comparison of two signals that have
very different amplitudes with different windows
|
Next: Application: general purpose signal
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This work by Daniel Kiracofe (daniel dot kiracofe at gmail dot com)
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