Questions and Comments for
Fourier transform as a function of frequency ω versus Fourier transform as a function of frequency fPlease post your review, comments and questions below.
- Xiaozhe's review:
It's a great slecture, examples developed are in detail and the logic between the steps is quite clear. Also,it is very useful way to use properties of FT in solving practical problem. This slecture greatly helps me to understand the transformation from a function with variable ω (in rad/s) into another with variable f(in hertz).
- Author answer here
- Review by John S.
The explanation of the first method for solving the first example problem is very concise. Unfortunately, you seem to skip over the work for the second method. I think it would be better if you showed more of the steps in the direct calculation including converting the cosine into exponentials and solution of the integral. In the second example, you should mention of use of the translation property used to quickly solve the integral. Overall, this slecture is cleanly organized. Good job!
Review by Yerkebulan Y.
I think after you found FT of cos(w0t) by changing variables you were supposed prove it by using ICTFT and get cos(w0t) from its FT. Because you cannot directly use CTFT formula for cosine function, because of exponential integration.
- Author answer here
- Review by student 4
- Author answer here
