function [SigMom, NoiseMom,Kurtosis,Var] = GetMomentsNoiseSignal(Vals) Trnum = size(Vals,2); %% 1st order SigMom.M1 = nanmean(nanmean(Vals,1),2); NoiseMom.M1 = 0; %% 2nd order SigMom.M2 = (1/(Trnum-1)) * (Trnum * nanmean(nanmean(Vals,2).^2,1) - nanmean(nanmean(Vals.^2,1),2))'; NoiseMom.M2 = nanmean(nanmean((Vals - nanmean(Vals,2)).^2,1),2)/(1-1/Trnum); %% Third order % some useful intermediary values Int1 = nanmean(nanmean(Vals,2).^3); Int2 = nanmean(nanmean(Vals.^3,1),2); NoiseMom.M3 = (1/(1-1/Trnum^2))*(Int2 - Int1 + (3/Trnum-3)*SigMom.M1*NoiseMom.M2); % NoiseMom.M21 =((1+2/Trnum^2)*NoiseMom.M3 - nanmean(nanmean((Vals-nanmean(Vals,2)).^3,2),1))/3; SigMom.M3 = Int2 - NoiseMom.M3 -3*SigMom.M1*NoiseMom.M2; %% Fourth order % some useful intermediary values Int1 = nanmean(nanmean(Vals,2).^4); Int2 = nanmean(nanmean(Vals.^4,1),2); NoiseMom.M4 = (1/(1-1/Trnum^3))*(Int2 - Int1 + ((3*Trnum-3)*NoiseMom.M2^2)/(Trnum^3)... -(4-4/Trnum^2)*NoiseMom.M3*SigMom.M1 - (6-6/Trnum)*NoiseMom.M2*SigMom.M2); SigMom.M4 = Int2 - NoiseMom.M4 - 4*NoiseMom.M3*SigMom.M1 - 6*SigMom.M2*NoiseMom.M2; %% Kurtosis Num = SigMom.M4 - 4*SigMom.M1*SigMom.M3 + 6*SigMom.M1^2*SigMom.M2 -3*SigMom.M1^4; Denom = (SigMom.M2 - SigMom.M1^2)^2; Kurtosis = Num/Denom - 3; %% Var Var = nanmean(nanmean((Vals - SigMom.M1).^2,1),2) - NoiseMom.M2; %SigMom.M2 + NoiseMom.M2-SigMom.M1^2; end