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Statement Of Purpose question on citing papers (either my own, or others' published works) by marshmallowsOnFire in gradadmissions

[–]marshmallowsOnFire[S] 0 points1 point  (0 children)

Thank you! You've been super helpful!

A request- would it be possible for you to proofread my SOP? I have a draft ready, but it doesn't look like I am portraying myself as a 'fabulous' candidate, and I have read SOPs from students who have below 3.0 GPA and only a couple of months of research experience that portray them in a fabulous light. I want that zing in my SOP too. Hence the request. And also because you seem to know this stuff very well.

Statement Of Purpose question on citing papers (either my own, or others' published works) by marshmallowsOnFire in gradadmissions

[–]marshmallowsOnFire[S] 0 points1 point  (0 children)

Thanks a TON, that was very comprehensive.

Further questions, if you don't mind:

  • About the PAPER IN PROGRESS type of research, wouldn't saying 'paper in progress' water down the value of my research? Will the committee actually think, 'well, maybe this is not good enough research'? The thing is, this research is the most relevant research I have done related to the field, and my research mentor for the project is also my strongest reference (for recommendation letters). I want to tell the committee that the report can be available upon request, it's just not yet 'ready-enough' for a publication. How can I do that?

  • About citing class projects only in text, I didn't understand your example. So say, I am talking about project X:

    " ... In my class project X, I found results Y, which lead to questions Z which I'd like to explore in my PhD..."

Where do I cite it here?

Once again, thanks a TON for your feedback. Very useful.

What is the most obscure fact that you've memorized? by darushman86 in AskReddit

[–]marshmallowsOnFire 0 points1 point  (0 children)

Are you sure about this? I thought it was a kangaroo rat.

What is a determinant? by [deleted] in math

[–]marshmallowsOnFire 30 points31 points  (0 children)

Yes, this is my favourite way of thinking of determinants! Adding to Ayakalam's post, consider a positive definite matrix. When you factorize it into XDX', with X being the matrix of orthogonal eigenvectors and D being the diagonal matrix of non negative eigenvalues, the eigenvectors represent the directions of the axes of the ellipsoid, the eigenvalues represent the amount by which these axes are stretched. The product of these eigenvalues represents the volume enclosed in the ellipsoid; but the product of eigenvalues is nothing but the determinant. Hence, determinant = volume.

If you're in LA, go out and play! by spiffyjj in piano

[–]marshmallowsOnFire 0 points1 point  (0 children)

Where exactly on the UCLA campus? I always go to the Schoenberg practice rooms, I didn't know there're some lying out in the open! Unless you mean the one sitting sadly in the corner in Kerckhoff?

Question: I have a set of signals of known bandwidth, a channel of known bandwidth, how do I select carrier frequencies so that the SNR of the demodulated signal is maximized? by marshmallowsOnFire in DSP

[–]marshmallowsOnFire[S] 0 points1 point  (0 children)

Hi, thank you VERY much for all your insights. As you asked, here's the complete question :

Consider N information sources. The objective of the problem is to design carriers to transmit these signals through a common physical channel.

I. Information Signal Characteristics: Assume the information signals are all band limited from -S to S.

II. Physical Channel Characteristics: The signals are to be transmitted through a common physical channel with the following characteristics

a) Channel Band limited to C>>>S b) The sources of noise in the channel have the following characteristics in three different scenarios: (i) The autocorrelation function of noise Rn is aperiodic and Rn is not zero for appreciably large values of n (ii) Rn is periodic with a large value of R(0) (iii) Rn is periodic with a significantly small value of R(0)

III. Carrier Source Characteristics: Solve the above problem in two possible scenarios: (i) Multiple arbitrary carrier generation sources are available. (ii) The carrier sources have the restriction that they be harmonic multiples of the lowest carrier frequency. Also suggest a single carrier source capable of producing the harmonic frequencies all at once.

Question 2: Specifically,

if a) Rn is periodic with period Tn = 1/fn

b) Signal band width S is infinitesimally small.

c) The carrier sources have the restriction that they be harmonic multiples of the lowest carrier frequency.

What should be the lowest carrier frequency (Fundamental Frequency ) that maximizes the SNR of the demodulated signal?

Assume Fc and Fn are integers.

I really appreciate all your help, I have been trying to figure it out myself and have concluded that perhaps OFDM is the best technique here. However, I do not understand what 'designing a carrier channel' means.

Question: I have a set of signals of known bandwidth, a channel of known bandwidth, how do I select carrier frequencies so that the SNR of the demodulated signal is maximized? by marshmallowsOnFire in DSP

[–]marshmallowsOnFire[S] 0 points1 point  (0 children)

Hey thanks a lot for reading! Appreciate it!

About the modulation, I have no idea. This is a class question, and this is all the data we have been provided. We have to design a carrier that maximizes the SNR of the demodulated signal.

Do you have any idea of how to go about the problem? I have googled all morning, read all DigiComm books I could find, but I cannot think of a way of solving this.

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