MATLAB: How to fit complicated function with 3 fitting parameters using Least square regression

Question

I want to fit below equation J(v). J and V data areavailable.

N=10^21

q=1.6×10^–19

Epsilon=26.5 x 10^–14

d=3×10^– 6

Initial values may be x0=[µ l H]=[10^-5 5 10^18]

3 fitting parameters are: µ, l and H. other parameters are known.

can some one help me to solve this?

I am not expert in Matlab

V is xdata:

0

0.5

1

1.5

2

2.5

3

3.5

4

4.5

5

5.5

6

6.5

7

7.5

8

J is ydata:

1.64544E-05

1.99822E-05

0.000032253

4.2623E-05

7.40498E-05

0.000660899

0.007578998

0.027109725

0.106353025

0.30299725

0.7332185

1.550115

2.98009

5.3102775

8.88175

14.0394325

21.163215

Answer 1

Hi, you may try to use "lsqcurvefit" command or curve fitting tool box (cftool), it is also better if you post data as well as known constant values, so other persons may try for you.