I'm playing around with ContinuousWaveletTransform using a sine wave of a constant frequency:

x = Array[# &, 4096, {0, 10}];
y = Sin[2 \[Pi] * 50 x];
c = ContinuousWaveletTransform[y, MorletWavelet[]];
WaveletScalogram[c, Automatic, Abs, ImageSize -> Large]
WaveletScalogram[c, Automatic, Arg, ImageSize -> Large]

The output of the first line seems fine:

But the phase has some unusual features:

Why does the phase have information present at scales above and below scale 4 (the signal frequency)? What are those features below scale 5?


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