Recent content by tworitdash

My research is on radar images and the images are collected in several conical surfaces. These conical surfaces have the same origin, the same maximum length (max flare or max range), but different elevations angles. The images are collected on the surface of the cones only. I want to determine...

I found a paper by Brethorst where he developed a periodogram that is a generalized version of the Lomb-Scargle periodogram. You can find it here [1]. I tried to implement (22) from this paper to make a periodogram for an aperiodically sampled complex data that is stochastic. I observed that it...

Thanks for the reply again. I like the discussion. I also discussed with one of my professors, and I think for me it is very difficult to disprove the theories people made over the last 50 years. I see different relations between these two parameters, and all of them are empirical. And, I also...

Thanks for the answer; I really appreciate it. What do you mean by constants here? For example, the claim is that the drop diameters are gamma distributed , but depending on different kinds of physical conditions the parameters of this distribution can vary (Like a different mean diameter in the...

Pardon me if this is a very silly question. Although my research involves a lot of probability distributions, I consider myself a fledgling statistician. When people assign a probability distribution to a variable in a physical process, is it inherently assumed that the parameters of this...

So, it is an absolutely converging function. That I get it as well. Is there a possibility to get an asymptotic value of this sum for non-integer \eta , as a function of \eta , and A ?

I have a sum that looks like the following: ## \sum_{k = 0}^{\infty} \left( \frac{A}{A + k} \right)^{\eta} \frac{z^k}{k!} ## Here, A is positive real. If \eta is an integer, this can be written as: ## \sum_{k = 0}^{\infty} \left( \frac{A(A +1)(A+2) \cdots (A + k - 1)}{(A + 1)(A+2)(A+3)...

Thank you! It makes things clear for me. I will definitely check the standards if there is any.

Yes, they are i.i.d. I didn't mention that in the question.

I started my research in statistical digital signal processing two years ago, so I need to familiarize myself with all the notations people use in probability and statistics. I come from a deterministic science background. I name my variables based on what they mean. A velocity is a v , a...

Thank you for the appreciation. :)

Thank you for the responses. There are many de-aliasing techniques out there that I’m aware of as well. And, as you said, the only way to do it is to use some additional information. In an image, it is the frequency estimate in each pixel for example. People try to find sharp jumps and try...

Thank you for the reply with the example. I also thought so. That is why I mentioned it as a "silly" question. :D However, I just wanted to ask it here. I have been surprised (especially in the past year in my research) sometimes with fundamentals that completely changed some of my understanding...

The signal processing terms that I use are usual in practice. For example, "ambiguity" means multiple solutions for the same problem. It is not an error. It can also be said as "grating lobes" in some other fields in science. The paragraph containing the explanation of irregular sampling (for...

I got confused with the terminology. So, I am pasting an edit here. `` For example, to keep it simple, let's say that the estimated quantity is a Doppler velocity. Due to the sampling, we can only measure for example from -v to +v meters per second in frequency/ velocity domain. If the true...