How to create a random and smooth varying rpm profile?

5 次查看(过去 30 天)
Hi,
I am trying to create an rpm profile with rpm- varying between 1190 rm to 1210 rpm . Could someone help me on how to create it.
clear all
close all
fs= 10000; % sampling frequency
dt = 1/fs;
T = 1; % total time
t = 0:dt:T; % time vector
rpm = 1200*ones(length(t),1)+ randn(length(t),1);
figure()
plot(t,rpm); xlabel('s'); ylabel('rpm')
I tried above by adding random noise and it did not work. I am trying to create the below type of rpm profile.

采纳的回答

DGM
DGM 2022-10-19
Filter the rpm signal. Depending on what toolboxes you have, there are a lot of tools you could use. I'm just going to use a very rudimentary approach without anything special.
fs= 10000; % sampling frequency
dt = 1/fs;
T = 1; % total time
t = 0:dt:T; % time vector
% a random vector
rpm = randn(length(t),1);
% filter the vector
ft = 0.05; % this scales the filter width
R = floor((ceil((ft*fs*5-1)/2)*2+1)/2); % this is always even
x = -R:R; % so this is always of odd length
fk = exp(-(x/(1.414*ft*fs)).^2); % a 1-D gaussian
rpm = conv(rpm,fk,'same'); % apply LPF
% scale/translate the vector
rpmrange = [1190 1210];
rpmrange0 = [min(rpm) max(rpm)];
rpm = (rpm-rpmrange0(1))/range(rpmrange0); % normalize
rpm = rpm*range(rpmrange) + rpmrange(1); % rescale
% show it
plot(t,rpm); xlabel('s'); ylabel('rpm')
  2 个评论
Kalasagarreddi Kottakota
Hi, Thanks for your response. Can I ask you the following?
  1. May I know those tool boxes?
  2. What is R in your script?
DGM
DGM 2022-10-19
The Signal Processing Toolbox is probably the most relevant here.
In the script, R is the half-width of the filter kernel. R is a function of fs*ft, which is what I used as the std deviation of the gaussian. The goal there is simply to create a filter that's wide enough to include a fair amount of the tails on the gaussian. In this case, the scaling factor was 5. A factor less than 5 would truncate more of the tails. The rest of the calculation of R is just to make sure that the result is an even integer.
FK doesn't have to be a gaussian. That's just what I chose to use. It could be a box or any other window function. Since the output of the filter gets scaled anyway, any normalization of the filter kernel doesn't have any effect. Notice that I didn't sum-normalize the gaussian.

请先登录,再进行评论。

更多回答(0 个)

类别

Help CenterFile Exchange 中查找有关 Vibration Analysis 的更多信息

标签

Community Treasure Hunt

Find the treasures in MATLAB Central and discover how the community can help you!

Start Hunting!

Translated by