Recent content by evol_w10lv

  1. E

    State prediction equation for Kalman filter

    Sorry for late response. I don't work in the engineering sector. I prefer programming. I am familiar with Kalman filter in programming level. Here my problem is in basics of engineering. I found out ##A, B, C, D## with MATLAB built in function: ##x(k+1)=-0.25*x(k) + 1*u(k)## ##y(k)=1*x(k)## ##A=...
  2. E

    State prediction equation for Kalman filter

    I have to filter data with Kalman filter. I know process error covariance Q and measurment error covariance R. Problem is with state transition matrix A, control matrix B and observation matrix H. First of all, data goes through this transfer function: ##W(s) = \frac{4s}{4s+1}## I can't get it...
  3. E

    Low pass filter (uniform/gauss distribution)

    I went through my calculations. Input distribution: $$f_x = \begin{cases} 0, & x \lt -0.3 \\ \frac {1} {1.2}, & -0.3 \leq x \leq 0.9 \\ 0, & x \gt 0.9 \end{cases}$$ Input distribution scaled by ##1/9##:: $$f_{x/9} = \begin{cases} 0, & x \lt -\frac {1} {30} \\ 7.5, & -\frac {1} {30} \leq x \leq...
  4. E

    Low pass filter (uniform/gauss distribution)

    Now I understand that part. Thanks. I think I calculated wrong ##f_{8u_{0}/9}## in post #7. It should be ##f_{x}## scaled by ##8/9##, because ##x_{1}=u_{0}##. But I did something else there. Then I tried to solve few discrete convolution iterations in Matlab. Here are results: Something...
  5. E

    Low pass filter (uniform/gauss distribution)

    Actually I think that I don't need mathematically exact probability density function, that's why I didn't ask for it. Heh, we started to speak about probability density functions, then I thought that I could solve actual function. But I think I won't be able to solve that continuous convolvution...
  6. E

    Low pass filter (uniform/gauss distribution)

    Input distribution: $$f_x = \begin{cases} 0, & x \lt -0.3 \\ \frac {1} {1.2}, & -0.3 \leq x \leq 0.9 \\ 0, & x \gt 0.9 \end{cases}$$ Input distribution scaled by ##1/9##:: $$f_{x/9} = \begin{cases} 0, & x \lt -\frac {1} {30} \\ 7.5, & -\frac {1} {30} \leq x \leq 0.1 \\ 0, & x \gt 0.1...
  7. E

    Low pass filter (uniform/gauss distribution)

    I like your approach to this question. I hadn't thought, that output is sum of two different distributions. Actually output isn't Gaussian distribution, but it just looks like that? Filter output can be calculated recursively using difference equation: $$y(n) = \sum_{k=0}^M...
  8. E

    Low pass filter (uniform/gauss distribution)

    Homework Statement [/B] I have got data x, which is formed like uniform distribution. After using discrete low pass filter I got output data u, which is Gauss distribution. What is explanation, why using that filter, we from uniform distribution can get Gauss distribution? Homework...
  9. E

    Using Xsens MTi-G to Plot Motion in Plane

    Ok, it's clear about that. But now I'm trying to do more advanced calculations. I want to include heading and distance in my calculations. Let's say I integrate resulting acceleration vector twice to get distace. resulting_acc = sqrt(accX^2 + acc_Y^2) To get heading, I use magnetometer data, so...
  10. E

    Using Xsens MTi-G to Plot Motion in Plane

    Homework Statement I'm doing project using xsens MTi-G. Data file example: I must plot motion in plane (decart coordinate system), without z component. Measurment is taken after 0.01 s. To do the task, I should use acceleration and velosity data. Homework Equations The Attempt at a...
  11. E

    Engineering Op-amp circuit analysis using a transfer function

    I calculated Wk(s) by myself, it wasn't given. I have got standart W(s) and I have to implement Wk(s) to get graphic like this (red is correction): But in the bode plot (in my previous post), after last corner frequency the new graphic isn't like the standart W(s), because there is this...
  12. E

    Engineering Op-amp circuit analysis using a transfer function

    It seems to me, I had a missunderstanding about the task. And there is mistake in the correction TF Wk(s), I guess. I simulated W(s) - red colour, Wk(s) -green colour, W(s)*Wk(s) - blue colour. Bode plot: http://www.bildites.lv/images/5ltl503z567e84sgk3pk.png The problem is gain of Wk(s) TF...
  13. E

    Engineering Op-amp circuit analysis using a transfer function

    Homework Statement I have got transfer functions W(s) and Wk(s), where Wk(s) is correction transfer function. So I calculate W(s) and Wk(s) in series. Magnitude graph before correction: Magnitude graph after correction: The task is to make whole circuit and simulate it. Homework...
  14. E

    Engineering RC circuit time constants and coefficients

    Thanks for your help. Task is completed. :)
Back
Top