Questions and Comments for Definition of Rep and Comb
Please post your reviews, comments, and questions below.
- Miguel Castellanos
I like how you introduce both operators with a graphical representation and then proceed to give a mathematical description. This organization seems natural to me. I also like how you explain the use of each operator. In your introduction to the rep operator, I believe it should be $ k \in \mathbb{Z} $ since you want to allow k to be negative as well. Also, you could clean up your multiplications by removing the periods (multiplication is implied by convention). Great slecture!
- Review by Jacob Holtman
The initial outline and the numbering system makes the process easy to see. In the comb example the graph is easy to understand. The function PT does not get explained until 1.1.4 while it is used in 1.1.3. It would be good to explain what that function means
- Review by Yerkebulan Y.
You provided good and clear explanation of rep and comb both graphically and by equations. You should have also explained impulse train pT(t) graphically. And at the end you just mentioned that comb is a CTFT of a rep. I think it would be better if you also included that rep is CTFT of a comb.Anyway, good job ! I understood a lot from your lecture. )
- Review by Soonho Kwon
The outline is very helpful to understand this topic, especially when I wanted to make sure I was following this slecture. The graphical explanation was done perfectly and the mathematical expressions were good as well.
- Review by David Klouda
I liked your slecture. It was very clear and concise. A potential upgrade could be including hyperlinks in your outline to jump to each part of the slecture.
- Review by Fabian Faes
I really enjoyed the use of graphics to illustrate what a rep and a comb function look like. It really aids the understanding a lot! The flow seems very natural to me and I think it has a very good structure and explains the mathematics in terms that are easy to understand and follow. My favourite feature of this Slecture would have to be the link in the references to the list of YouTube videos where one can get more information if desired. Great Job!
- Review by Talha Takleh Omar Takleh
A very clean slecture, which is very good because it makes it easier for me to follow and understand. I like how you structured your slecture from basic information to detailed information about the topic. Short, concise and understandable points which helps me understand. Overall, great slecture.
- Review by Yijun Han
The work is very clear and well organized. It is really easy to understand the definition of rep and comb by looking at the graphs. It would be better if you state the relationship between rep and comb.
- Review by Andrew Pawling
The use of the figures to demonstrate the operators is great! I would recommend showing what happens with the rep operator when T < a+b. The text descriptions are good but could use some rewording. Some ideas that you are trying to convey are not exactly clear in the text descriptions.
- Review by Michel Olvera
I liked how you used graphical methods to help understand the operators in a very intuitive way. The definitions and relationships between the representations of both operators are well defined and use a clear mathematical approach, which makes your Slecture easy to follow. Great job!
- Review by Sahil Sanghani
I really liked the outline and the graphs you used to explain the rep and comb operators. A visual really helps with understanding each of them. I think that the relationship between rep and comb could have been more thoroughly explained. Otherwise your slecture was very well organized and written.
- Review by Evan Stockrahm
In section 1.1.2, it is claimed that T has to be greater than a + b. I believe this is an ideal condition but not necessary to define the rep operator. The organization of this slecture is superb though. Making each section title bold and/or bigger is the only organizational comment I can come up with.
- Review by Randall Cochran
The graphical method was a really good approach to explaining what was going on with each operator. The outline at the beginning made following the slecture easier too. A little more on the relationship between the rep and comb operators would be great.
- Review by Botao Chen
The outline is very helpful to sort the slecture. For every step you provide a specific and good explanation. And the graph has been a good tool for me to understand the relation between comb vs original signal and rep vs original signal.
- Review by Hyungsuk Kim
I think specific outline is very helpful and make easy to follow the formula and graphs. Formulas and graphs are very clear to understand.
- Review by Xian Zhang
Good job! I really like your slecture. It is organized and clear. You have clear and detailed overview and all the graphs you provided are clear and easy to understand.
- Review by Michael Hayashi
I found this slecture to be very helpful overall. The graphs clearly indicated the function of the two operators. For the rep() operator, the definition does not need to be restricted to cases where $ T > a + b $ (though this may be mentioned as the most common usage), and your "since" statement in 1.1.4 is incorrect: there needs to be an $ x(\tau) $ in front of the delta function. Pointing out how the comb() operator leaves the result as a continuous function was a good idea.
- Review by Chloe Kauffman
I would change everywhere that you have $ P_{T}(T) $ to $ P_{T}(t) $ since the lowercase t denotes the time-domain. I really liked the in depth analysis of the simplification of the convolution of x(t) and the impulse train. That was helpful for me. Overall, I liked this slecture a lot for my own learning.
- Review by Ryan Johnson
It would help to have a more precise definitions of rep and comb. Other that that, great job overall. The formulas are very easy to follow.
- Review by Robert Stein
Great job. Very thorough. I might have given the section headers bold text for better appearence.
- Review by Matt Miller
This slecture was very easy to follow due to the clear diagrams. The rep and comb operators could be explained better, however.
- Review by Ben Capano
You made great use of clear graphs to explain what a rep and comb are. Mathematically, it's a little difficult to see the relationship you explain, adding more words along the step by step process may be good.
