Recent content by dionysian

I’m reviewing differential equations after taking the course about 5-6 years ago and I have a couple of questions about the solutions of differential equations. 1) First why is the general form of the solution to linear homogenous differential equations, with non-equal and real roots to the...

Ok I am not sure if I should put this question in the homework category of here but it’s a problem from schaums outline and I know the solution to it but I don’t understand the solution 100% so maybe someone can explain this to me. Let X and Y be defined by: \begin{array}{l} X = \cos \theta...

Thanks mathman. I think I get it now.

Here is a website that has some simulink tutorials that pertain to communications systems http://www.csun.edu/~skatz/ece561/561hmk.html. They are labeled MATLAB tutorial but there mostly simulink. The have some labs that are easy to work through with the solutions posted. I don't know many books...

Thanks for your reply mathman. So the two are very similar but they are just interpreted diffrently? Is there any diffrence other than that which someone might know about?

I think to build some intuition in the relm of signal processing i would recommend getting a copy of simulink and learning to use that. You can set up simulation of signal processing systems and learn a lot from doing that.

If a discrete random process can be viewed as a collection of random variables indexed by a value n and a discrete N dimensional random variable can be viewed as N random variables with with a joint pmf. In these cases it seems like there is not much difference between a N dimensional random...

Thanks.

I am a little fuzzy on the meaning of Independent Identically distributed random variables. I understand the independent part but still not 100% on the identically distributed part. I understand that identically distributed means they have the same pdf and cdf but does this mean that they have...

Homework Statement Let X and Y be two independent random variables each exponentially distributed with parameter 1. Define a new random variable: z = \frac{x}{{x + y}} Find the PDF of Z Homework Equations The Attempt at a Solution \begin{array}{l} {F_Z}(z) = P(Z < z) =...

Ahhh haa... I just found that in one of my books. Thanks. I just needed someone to point me in the right direction.

Does anyone here have a good explanation of why the Fourier transform of the autocorrelation function equals the ESD of the the original signal. It kind of make sense intutively because functions that have a autocorrelation that drops of quickly are high frenquency and the Fourier transform of...

Thanks... I am a little rusty...

This is not a homework question but I am trying to follow the proof on wolfram that \int_{-\infty }^{ \infty }{e}^{{x}^{-2}} dx = \sqrt{\pi} and I am haveing trouble at one point where they state \int_{0 }^{ \infty }r{e}^{{r}^{-2}} dr = \left[- \frac{ 1}{ 2} {e }^{ {-r }^{2 } }...

Ahh this is what i suspected... So its fair to say that the RV helps keeps the pdf independent of each expirment