Questions and Comments for Fourier Transform as a Function of Frequency w Versus Frequency f (in Hertz)
Please post your reviews, comments, and questions below.
- Review by Miguel Castellanos
The steps you take to find each Fourier transform are well explained, and I really like your use of color to track the important changes from line to line. However, I think it would be clearer if you used different variables for the CTFT in terms of ω and the CTFT in terms of f, instead of using X for both.
- Review by Andrew Pawling
The lecture is very clear and easy to understand. I think your lecture would of benefited by adding an clear outline introduction and conclusion. This would better lay out the overall idea of the lecture. The use of red text was an excellent way of showing the changes resulting from the substitution.
- Review by Jacob Holtman
The objective is a little hard to understand at first and so the typo mentioned above is a confusing but once the purpose is understood then the examples are easy to follow and the layout makes sense. In the second example, it might be helpful to explain that there is a multiplication of 2π over 2π.
- Review by Fabian Faes
I thought that the examples and formulas were very well illustrated here and the use of color makes it easier to understand the flow of the steps. I also enjoy the fact that everything is nicely spaced out which makes it easier to read. I do agree that a small introduction and conclusion would be beneficial but it is not crucial if left as it is.
- Review by Soonho Kwon
The introduction and the conclusion parts were not categorized. By categorizing the introduction and the conclusion parts, it would be easier to the reader to understand what is going on. Other than that the equations and the development were very clear and precise and it actually helped me understand this topic.
- Review by Yijun Han
This slecture is clear on comparing Fourier transform as a function of frequency ω versus Fourier transform as a function of frequency f. It would be better if you mention the formula delta(af) = 1/a delta(f) when simplifying X(f).
- Review by David Klouda
I liked the way you derived the Fourier transform. My recommendation would be to reformat so that each of the sections of the template are represented to better organize your slecture. Overall, great work.
- Review by Botao Chen
The formulas are derived very well with a good explanation. I especially appreciate your red mark to show the importance to others like the change of 2pi. Just a small suggestion that I believe a category would help more for people to understand and follow your steps.
- Review by Yerkebulan Y.
- You just showed method of changing variables when finding CTFT in hertz. I think, you also need to use ICTFT to verify that first method was right.For example, you could find ICTFT of delta(f - f0) , which is e^(j2pif0t). Overall, good explanation of finding CTFT.
- Review by Hyungsuk Kim
I thought that this slecture is clear and easy to understand. However I think it would be better and more clear how do they change if you put some graphs on the example.
- Review by Xian Zhang
The procedure from $ \omega $ to f is very clear. And the following two examples are easy to understand. It might be better if you add a overview in the very front to inform the reader about what you are going to talk about in the slecture.
- Review by Chloe Kauffman
Example coloring was very helpful. Maybe add input as to benefits/reasons of interchanging between w and f. Also little detail I would have added is for the scaling property of the dirac delta $ c\delta (ct) = \delta (t) $ it is for all c >0.
- Review by Evan Stockrahm
The coloring is extremely helpful in noting the significant changes from line to line. I did notice that in some equations there are parentheses and brackets that open but don't close anywhere. The idea is still clear but just a bit of a technical note to kind of establish credibility to a user.
- Review by Xiaozhe Fan
The examples with color gave me more insight into how to transfer from one equation with w to another equation with f. But it maybe better to add the scaling property of the Dirac delta function bellow the last line of your equation to indicate how you get the final result.
- Review by Matt Miller
The use of color was very helpful for viewing the movement of constants throughout the problem. The slecture could be improved by reorganizing the the content.
