File Exchange offers several procedures for Inverse Laplace Transfrom but – if I am not mistaken – all are for the case when F(s) is provided in an analitic form. This actually restricts their use to the input data in a noise-free form, close to 64 bits. Adding noise – which is always present in experimental data – usually makes Inverse Transfrom unstable even at quite high S/N ratio. Are there any published Matlab procedures to overcome the damaging presence of noise?
P.S. Historically, Povencher published a program, Contin, to perform this task, and there was (I can’t recall the link now) a Matlab implementation but when I tried it with a 1:500 S/N ratio it failed fro me.File Exchange offers several procedures for Inverse Laplace Transfrom but – if I am not mistaken – all are for the case when F(s) is provided in an analitic form. This actually restricts their use to the input data in a noise-free form, close to 64 bits. Adding noise – which is always present in experimental data – usually makes Inverse Transfrom unstable even at quite high S/N ratio. Are there any published Matlab procedures to overcome the damaging presence of noise?
P.S. Historically, Povencher published a program, Contin, to perform this task, and there was (I can’t recall the link now) a Matlab implementation but when I tried it with a 1:500 S/N ratio it failed fro me. File Exchange offers several procedures for Inverse Laplace Transfrom but – if I am not mistaken – all are for the case when F(s) is provided in an analitic form. This actually restricts their use to the input data in a noise-free form, close to 64 bits. Adding noise – which is always present in experimental data – usually makes Inverse Transfrom unstable even at quite high S/N ratio. Are there any published Matlab procedures to overcome the damaging presence of noise?
P.S. Historically, Povencher published a program, Contin, to perform this task, and there was (I can’t recall the link now) a Matlab implementation but when I tried it with a 1:500 S/N ratio it failed fro me. inverse laplace transform MATLAB Answers — New Questions

​