Potential issues with wavelet center frequency parameter (C0).

[zdanaceau]

The wavelet center frequency parameter (C0) appears to be behaving in an unexpected way in which varying this parameter does not move the location of frequency bands in the resulting CWT of a given signal. This is a problem because when calculating frequencies through f = C0 / a, a single pure cosine wave's detected frequency will vary depending on what C0 is. Examples of this are given below for C0 = 10, 25 and 50 for a single cosine wave. Varying C0 appears to only affect the width of the resulting ridge.
cosTestCWTHeatmapc0-50.pdf
cosTestCWTHeatmapc0-25.pdf
cosTestCWTHeatmapc0-10.pdf
.

[avcarr2]

What's the frequency of the test cosine wave? It looks like these three are resonance frequencies.

[zdanaceau]

I just tested it with a different cosine wave of frequency 0.11/2π at C0 = 20, 50, and 70 and saw a similar effect so I don't think it is resonance frequencies. The measured frequency of the cosine wave appears to be scaling linearly with C0 though.
cosTestCWTHeatmap0.11FC0-20.pdf
cosTestCWTHeatmap0.11FC0-50.pdf
cosTestCWTHeatmap0.11FC0-70.pdf
.