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  1. x = 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  2.            wc =0.001:0.001:1 % <----- !!!
  3.            R = zeros(1, length(wc)-1);
  4.            for nn= 1:length(wc)-1
  5.               [B,A] = butter(2,wc(nn));
  6.               xprime = filtfilt(B,A,x);
  7.                R(1,nn) = sqrt(1/length(x)*(sum(abs(x-xprime).^2)))
  8.            end        
  9.            plot(wc(1:end-1)*20,R) % <------ !!!!
  10.        
  11. fs = 40; %// 40 Hz as you said
  12. fc = 15; %// your cutoff in Hz
  13. [b,a] = butter(2, fc/(fs/2));
  14.  
  15. y = filter(b,a,x); %// output
  16.        
  17. fs = 40;
  18.  
  19. x = 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  20. N = numel(x);
  21.  
  22. dw = 0.01;
  23. wc = dw:dw:1-dw;
  24.  
  25. R=zeros(size(wc));
  26. for nn =1:numel(wc)
  27.     [b,a]=butter(1,wc(nn)); %//Potentially an order less because of filtfilt
  28.     y = filtfilt(b,a,x);
  29.     R(nn)=sqrt( sum((x-y).^2)/N );
  30. end
  31.  
  32.  
  33. fAxis = wc*(fs/2);
  34.  
  35. plot(fAxis,R);
  36. xlabel('fc [Hz]'); ylabel('residuals')
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