- Generally speaking, what analyses are necessary and sufficient for the detection of periodicities in an n-dimensional signal amounting to a discretely sampled density distribution over n-dimensional space?
Assume that the signal-to-noise ratio and sampling frequency in all dimensions are adequate for detection of any periodicities that are present.
- Would an n-dimensional Fourier transform and an n-dimensional autocorrelogram suffice?
- Would these be limited to detecting periodicities that are aligned with one of the basis vectors of the n-D space?
Suggested references for further reading would be appreciated.