I have a matrix equation (left side) that needs to be formatted into another form (right side). I've simplified the left side as much as I could but can't seem to get it to the match the right side. I am unsure if my matrix algebra skills are lacking or if I somehow messed up the starting...
I'm currently studying the sensitivity of polynomial roots as a function of coefficient errors. Essentially, small coefficient errors of high order polynomials can lead to dramatic errors in root locations.
Referring to the Wilkinson polynomial wikipedia page right...
Ahhh that's the problem, I already have a job as a controls engineer. While I do quite a bit of work analyzing FFTs in the context of motion control and tracking, there are probably some areas of advanced DSP that I will never touch outside of being a hobbyist. This question hopes to fill that void.
Hi there, this is a shameless repost of a thread I made over on the DSP subreddit, however, I'm very interested to get some feedback from the folks of PF. Here is my question:
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Hi there,
I recently graduated with an undergraduate degree in electrical engineering. During my schooling, I took...
Thank you for this derivation. This is the exact result I got, but I didn't have much confidence in it and assumed there was a general formula.
I was also able to stumble across this on the wikipedia page earlier this morning -...
Yes it would better fit the collected data. However, it would not be a better approximation of the true underlying signal if I know that the signal has the form y = Bx. By trying to use a model of y = A + Bx, my coefficient approximations would be more influenced by noise in the data set.
Hi Mark,
Thanks for the response. So I'm definitely not an expert in this area, but here's what I know (or that I believe I know).
You are correct in the sense that I could try to fit y(x) = A + Bx and solve for A and B. The resulting function I calculate would indeed better fit the collected...
Hi Stephen,
I appreciate the response! After doing further investigation, I believe you are correct in the sense that the parameter must be solved via a least squares estimates. I am currently attempting to find a method for a solving a polynomial y(x) = a0 + a1*x, where I make the assumption...
Hi there,
I'm working on a problem right now that relates to least squares error estimate for polynomial fitting.
I'm aware of techniques (iterative formulas) for finding the coefficients of a polynomial that minimizes the square error from a data set. So for example, for a data set that I...
Hi there,
I've recently start learning methods for determining whether or not time series are stationary. The first method I'm trying to learn is the 'Dickey-Fuller Test'. This test uses a time series modeled by an AR(1) process. The key is to find whether or not this process contains a unit...
Hi there,
I've started learning the concept of t-tables and have a question regarding methods to find p-values.
I realize that the t-table is limited in providing p-values for every possible t-score. Instead, we must rely on interpolation to attempt to get more precision on the p-value. I've...
Hi there,
I've recently been doing some studying into time-frequency analysis. I've covered some of the basic materials regarding the Short-Time Fourier Transform (STFT) along with the concepts of temporal and frequency resolution (along with the uncertainty principle of course).
I've now...
Hi there,
I'm struggling to wrap my head around a 'should-be-simple' problem involving an RL circuit. Referring to the image I've pasted below, what happens if we were to remove switch 1, and instead created a scenario where switch 2 simply opens? Where would the current go in the inductor?
I...
Hi there,
I've recently been looking into applications of cross-correlation in the context of signal processing. I've noticed that the mathematical operations that yield the cross correlation between two signals is very similar to the operations in calculating the convolution of a signal and...