Asymmetrical peak shapes:

>> load testsignalA.mat;
>> ShapeTestA(x(500:600),y(500:600),1)
 
Peak Shape           fitting error   R2
One Gaussian:           4.3141     0.98268
Two Gaussians:          3.6645      0.9875
Exp. modified Gaussian: 3.9435     0.98552
BiGaussian:             3.7319     0.98704
Exponential pulse:      9.9001     0.90877
Alpha function:         9.3113      0.9193



Symmetrical peak shapes:

>> load testsignalS.mat
>> ShapeTestS(x(70:170),y(70:170),1)
 
Peak Shape            fitting error   R2
Single Gaussian:          2.9125     0.98718
Two Gaussians:            2.3006       0.992
Single Lorentzian:        3.7364      0.9789
Logistic distribution:    3.6023     0.98039
Voigt profile:            2.2825     0.99213
Single Pearson:           2.3013       0.992
Gauss/Lorentz blend:      2.2978     0.99202