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The wavelet transform in Eq. () is a complex
representation for the output of analytic filter in Eq.
().
Xk(t) |
= |
|
|
|
:= |
|
(32) |
Representing an absolute value for both terms, we obtain
|
(33) |
Similarly, comparing the phase terms between Eqs. () and
(), we obtain
|
(34) |
Since the phase spectrum
is represented by
|
(35) |
it becomes a periodical ramp function within
Differentiating both terms in Eq. (), it becomes
After clearing, we obtain
Hence, the output phase
is represented by
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Masashi Unoki
2000-10-26