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1answer
31 views

Gain function calculation (frequency response)

Define moving average process $y_t := 0.5 x_t + 0.5 x_{t-1}$ where $x_t := e^{i2 \pi t}$. Its frequency response is then: $$H(f) = 0.5 + 0.5 e^{-i2\pi f}$$ Recall that the frequency response in ...
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0answers
33 views

Issue in system identificaton and Yule Walkers Equation

I have a set of observation, a vector consisting of 500 positive real values. I am having a tough time in figuring out what should be the model, i.e a general equation representing the data values. I ...
1
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1answer
123 views

Nonlinear curve fitting

I have googled and read a lot from Matlab documents but helpless in solving the following problems concerning nonlinear regression.I have a single observation vector consisting of 200 measurements y ...
1
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1answer
153 views

Weight vector of an exponential moving average?

With weight vector I mean the vector with weights that you have to multiply the observations in the window that slides over your data with so if you add those products together it returns the value of ...
3
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1answer
155 views

Equivalent 2D mask of moving-average

I have the moving-average mask as mask = [1 1 1; 1 1 1; 1 1 1]; and then I compute the convolution 3 times ...
4
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1answer
254 views

How can I smoothly interpolate between 2 position?

I've got a 1D signal (position of a servo motor over time) and I've extracted 'peaks'/'key' positions picking running average "local extrema" points. Below is are 2 plots from 2 servos and the white ...
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3answers
283 views

Averaging filters

If a signal undergoes repeated averaging (n times) with a filter (h) of size m. Is it possible to achieve the same averaging result with an averaging filter(H) of a larger size? h = {1/m, 1/m... m ...
8
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3answers
384 views

How should a moving average handle missing data points?

I'm writing a program that averages the user's weight across different days. I'm planning to use a 5-point moving-average (current day, two before and two after). Sometimes, a data point is missing ...
7
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1answer
162 views

“Ensemble averaging … cannot track dynamic changes”?

A book claims this as a motivation for introducing exponential averaging: A disadvantage of ensemble averaging is that the resulting estimate cannot track dynamic changes occurring in the observed ...
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1answer
555 views

How to decide whether to use AR or MA for smoothing data?

Imagine I've got some offline data that I want to smooth. I could use an auto-regressive or moving-average filter of some appropriate order for conducting the smoothing. On which criteria should I ...