Motions in The Time-frequency Distribution - Example

Example

If we want the left image to become the right image, we can use the techniques from above to achieve the requirement.

There are several ways to solve this problem, this is one of the possible solutions.

First, we apply clockwise rotation of 90 degree by using one of the transform.

STFT:

Gabor:

WDF:

Second, we set a = 1/3, and perform a horizontal shearing on t-axis.

STFT, Gabor:

WDF:

Third, we shift the signal 2 to the right on t-axis by setting t0 = 2

STFT, Gabor:

WDF:

Finally, we shift the signal 1 to the left on f-axis by setting f0 = -1

STFT, Gabor:

WDF:

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