noise reduction via binomial low-pass filtering in matlab

Here's an example code for applying binomial low-pass filtering in MATLAB to reduce noise from a signal:

% Load noisy signal
load('noisy_signal.mat');

% Calculate coefficients of binomial low-pass filter
N = 5; % Filter order
b = binomial_coeff(N);

% Apply filter to noisy signal
clean_signal = conv(noisy_signal, b, 'same');

% Functions
function b = binomial_coeff(N)
% Calculates binomial coefficients for given order of filter

    b = zeros(1, N+1);
    b(1) = 1;

    for k = 1:N
        b(k+1) = b(k) * (N+1-k) / k;
    end
end
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The binomial_coeff function calculates the coefficients of a binomial low-pass filter using the Pascal's triangle method. The conv function is used to apply the filter to the noisy signal. The 'same' option is used to return a signal with the same size as the input signal.

Feel free to adjust the filter order N to achieve the desired level of noise reduction.