how to calculate the exponential moving average of a vector in matlab

To calculate the exponential moving average of a vector in MATLAB, you can use the built-in filter function which applies a filter to a data sequence.

main.m
function ema = exponentialMovingAverage(x, alpha)
% Calculates the exponential moving average of a vector x with smoothing factor alpha
% Assume that x is already a column vector
    N = length(x);
    ema = zeros(N, 1);
    ema(1) = x(1);
    for i=2:N
        ema(i) = alpha * x(i) + (1-alpha) * ema(i-1);
    end
end
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The exponentialMovingAverage function takes two inputs: x, which is the vector to be smoothed, and alpha, which is the smoothing factor. The function assumes that x is a column vector already.

The output of the function is the exponential moving average of x, which is stored in the ema array.

Here's an example of how to use the function:

main.m
x = [1; 2; 3; 4; 5; 6; 7; 8; 9; 10];
alpha = 0.5;
ema = exponentialMovingAverage(x, alpha);
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You can change the value of alpha to adjust the level of smoothing. A smaller value of alpha results in more smoothing, while a larger value of alpha results in less smoothing.