User talk:BALTAM Itatsu

I think there's an error in your recent edit to the Fractional Fourier Transform page. (You added a bullet "integer order" under "Properties".) I think the clause "When alpha is equal to an integer k..." should be "When alpha is equal to an integer multiple of pi/2...".

I could make the change myself, but I've only just run across the FrFT and so my knowledge is limited to the wikipedia article plus a couple of references I tracked down.

Here's the full comment I posted on the Talk section. The previous comment was on 4/2013 so I don't think the Talk section is being used much:

(1) Is there an issue "Properties->integer order"? I think the sentence "When alpha is equal to an integer k, the alpha-th order fractional Fourier transform is equivalent to the k-th integer power of the ordinary Fourier transform" should actually be "When alpha is equal to an integer k times pi/2...", since alpha=pi/2 --> ordinary Fourier transform.

Likewise, in "Properties->coherence", shouldn't the intro text read "When a equals (pi/2)*k where k is an integer"?

(2) Notation:

For the fractional Fourier transform, is $$\mathcal{F}_\alpha$$ or $$\mathcal{F}^\alpha$$ preferred?

$$\mathcal{F}_\alpha$$ is used in the start of the Definition section and in the Fractional kernel section, but $$\mathcal{F}^\alpha$$ is used in much of the discussion on properties. This is particularly confusing given that a superscript notation $$\mathcal{F}^k$$ is also used in this article to describe the ordinary Fourier transform.

For clarity, I would prefer $$\mathcal{F}_\alpha$$ -- but I've just run across the FrFT and so don't know what the most common usage is. I only know that the article needs a common notation and that it's unclear to use the exact same notation for two related but different operators.

Regards, Gholleywiki (talk) 21:28, 21 April 2015 (UTC)