function?[yprime?params?resnorm?residual]?=?lorentzfit（xyp0boundsnparams）
%?LORENTZFIT?fits?a?single-?or?multi-parameter?Lorentzian?function?to?data
%
%???LORENTZFIT（XY）?returns?YPRIME（X）?a?Lorentzian?fit?to?the?data
%???found?using?LSQCURVEFIT.?The?function?Y（X）?is?fit?by?the?model:
%???????YPRIME（X）?=?P1./（（X?-?P2）.^2?+?P3）?+?C.
%
%???[YPRIME?PARAMS?RESNORM?RESIDUAL]?=?LORENTZFIT（XY）?returns?YPRIME（X）?
%???values?in?addition?to?fit-parameters?PARAMS?=?[P1?P2?P3?C].?The?RESNORM
%???and?RESIDUAL?outputs?from?LSQCURVEFIT?are?also?returned.
%
%???[...]?=?LORENTZFIT（XYP0）?can?be?used?to?provide?starting
%???values?（P0?=?[P01?P02?P03?C0]）?for?the?parameters?in?PARAMS.
%
%???[...]?=?LORENTZFIT（XYP0BOUNDS）?may?be?used?to?define?lower?
%???and?upper?bounds?for?the?possbile?values?for?each?parameter?in?PARAMS.
%???????BOUNDS?=?[LB1?LB2?LB3?LB4;
%?????????????????UB1?UB2?UB3?UB4].
%???If?the?user?does?not?wish?to?manually?define?values?for?P0?it?may?be
%???enetered?as?an?empty?matrix?P0?=?[].?In?this?case?default?values?will
%???be?used.?The?default?bounds?for?all?parameters?are?（-InfInf）.
%
%???[...]?=?LORENTZFIT（XYP0BOUNDSNPARAMS）?may?be?used?to?specify?the
%???number?of?parameters?used?in?the?Lorentzian?fitting?function.?The?
%???number?of?parameters?defined?in?P0?and?BOUNDS?must?match?the?function?
%???specified?by?NPARAMS.?If?the?user?does?not?wish?to?manually?define?
%???values?for?P0?or?BOUNDS?both?may?be?enetered?as?empty?matricies:?
%???P0?=?[];?BOUNDS?=?[].
%
%???-NPARAMS?options
%???????
%???????????‘1‘?????-?Single?parameter?Lorentzian?（no?constant?term）
%?????????????????????L1（X）?=?1./（P1（X.^2?+?1））
%
%???????????‘1c‘????-?Single?parameter?Lorentzian?（with?constant?term）
%?????????????????????L1C（X）?=?1./（P1（X.^2?+?1））?+?C
%?
%???????????‘2‘?????-?Two?parameter?Lorentzian?（no?constant?term）
%?????????????????????L2（X）?=?P1./（X.^2?+?P2）
%
%???????????‘2c‘????-?Two?parameter?Lorentzian?（with?constant?term）
%?????????????????????L2C（X）?=?P1./（X.^2?+?P2）?+?C
%
%???????????‘3‘?????-?Three?parameter?Lorentzian?（no?constant?term）
%?????????????????????L3（X）?=?P1./（（X?-?P2）.^2?+?P3）
%
%?[DEFAULT]?‘3c‘????-?Three?parameter?Lorentzian?（with?constant?term）
%?????????????????????L3C（X）?=?P1./（（X?-?P2）.^2?+?P3）?+?C
%
%???X?and?Y?must?be?the?same?size?numeric?and?non-complex.?P0?and?BOUNDS
%???must?also?be?numeric?and?non-complex.?NPARAMS?is?a?character?array.
%
%???Examples:?
%???????x?=?-16:0.1:35;
%???????y?=?19.4./（（x?-?7）.^2?+?15.8）?+?randn（size（x））./10;
%???????[yprime1?params1?resnorm1?residual1]?=?lorentzfit（xy[20?10?15?0]）;
%???????figure;?plot（xy‘b.‘‘LineWidth‘2）
%???????hold?on;?plot（xyprime1‘r-‘‘LineWidth‘2）
%
%???????[yprime2?params2?resnorm2?residual2]?=?lorentzfit（xy[][]‘3‘）;
%???????figure;?plot（xy‘b.‘‘LineWidth‘2）
%???????hold?on;?plot（xyprime2‘r-‘‘LineWidth‘2）
%
%???See?also:?lsqcurvefit.

%?Jered?R?Wells
%?11/15/11
%?jered?[dot

?屬性????????????大小?????日期????時間???名稱
-----------?---------??----------?-----??----
?????文件????????1326??2012-04-17?14:04??license.txt
?????文件???????10577??2012-04-17?14:04??lorentzfit.m