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标题: 想用三角函数拟合一组数据 结果一直报错 感谢大神解答 程序就是源程序clear [打印本页]

作者: odayle    时间: 2020-3-12 13:56
标题: 想用三角函数拟合一组数据 结果一直报错 感谢大神解答 程序就是源程序clear
想用三角函数拟合一组数据 结果一直报错 感谢大神解答 程序就是源程序clear;
* |) D4 ~3 U4 w# y4 M$ j! W+ ftheta=linspace(0,rad2deg(2*pi),181);
. I+ ?( e) B  l6 U$ ly1=[0.512% s1 h4 [- k5 V" y7 g) p0 J6 }
0.4713 ?! z0 }- r9 D( `. y( e* l  \
0.445( p# ~0 k' @2 x( q+ v
0.408
, C- H, b  M$ ^% b7 S5 _0.382
- P1 h* \1 ?( h( O0.3473 n* X6 s# t0 _6 l  b
0.33
0 V' _' _' c  f% S0.2952 Q  W9 R  k6 K9 e
0.275
5 o3 W. l4 @6 w6 z9 H) g( c+ \, n; e0.2449
- j: A: w/ {7 a5 Q& t$ L0.2222
2 z: Z: S. g8 a+ o* i0.1974$ [: r9 s' l/ c' O
0.1792
  _6 q. `4 n# v% t& B0 E0.1573! _0 ~! n6 B+ |, }3 s% w  E4 E# W
0.14479 C+ @' q% h* U) P6 u
0.1289
  B1 x, ?+ L9 X) j0.1155( |- f/ s( O7 ]$ q. `& g
0.1072
2 N; L( {& A0 b0.09910 A4 z* P2 B2 }" ^
0.092% d3 d" n7 d/ _5 V$ D$ N
0.0877
! Q1 s" i( R1 X" O. `( d; a0.08416 v! L9 G% U6 }* e' p7 T# X( [
0.0842! n) s9 G: X; N9 V: X* \
0.0856* w% U1 {$ m% q! q, _' W
0.0869
) u# A$ [" Y  d0 h+ ~% P0.0929
( O8 ]% F6 U* w# C& R! {, H0.10270 N8 e! g! a% B7 Y
0.1064
4 L) _, m2 }9 V7 `) C8 j0.1165: P* j+ @9 C: O# u3 ?3 j
0.1295; g. i9 G8 t. I6 K( ]9 x* c. h
0.1447
/ A8 N* n* b2 W' \0.1558+ P+ m& t4 m7 ^2 Q+ u0 V( c
0.1696
. M! ~( F9 R6 T3 E, h+ t0.19* z2 o- h. ^3 u2 V
0.217 [  O6 M' H0 P/ }: P# ]- k4 G
0.2287
: w/ L: S3 g2 j- x' Z) W0 o0.2496# {5 k% o! B# }8 ~+ T; m
0.2719; n/ u$ F3 }" ?# o, U7 [9 p
0.29862 i) a/ u' y/ O& |, H  a% t
0.32466 D( I0 w$ D3 i$ @  b
0.343' N7 u: K3 q$ ?3 @
0.3729 a; P, D1 X6 K, K, A
0.393
' m) k' H3 y. e# |5 u: A" H" a0.415. a8 _6 `7 i# ~
0.444
  m: b4 Z+ A8 l& x& T5 @0.47% p$ X4 F  w4 B7 }  |& o1 D0 s
0.494
+ |4 U+ {. g& y. \0.513% M2 P/ w: f. C( _
0.542
' K+ E4 v& a7 v; T, M: J* A0.573
; f. z6 f6 S! Z( a0 ~0.6" p. {8 \* }4 D5 J! M  M) `5 V/ y
0.613
1 a: \. Q' A0 K; ?# _0.636# r+ i8 _, _( ]
0.652" q. b( p. l) ^( q
0.675; F. T: U& J9 R( C+ n) g2 f, Y
0.6971 m2 B% O! P) S# J1 q9 B
0.71
) D2 M5 b: R( X( Z) e& m: P! F0.729
; C" r3 j! a1 Z& Y0.742+ l' b( H. m2 z5 M4 j! R
0.76
7 d: z  M# L' G4 `' f0.7677 R1 ?$ `; e; y! x: ^7 u  f7 c. o
0.7779 ^- E3 n0 U6 T4 ?* \5 k, C
0.7859 [8 f/ \" H9 ]# F2 x, N5 |/ _
0.79& r3 [5 h9 |. Y$ |- W
0.792% z9 [2 ]* x) V& D" c$ g
0.7992 f" h4 ~% y! z# ~$ ]
0.808$ j5 q- C3 ]; S
0.795
: F9 b9 ^4 b/ Y+ _" L4 w0.794
+ y5 U; s( M$ n0.789
6 k* y4 Q: ~! q, ?0.786
2 u( b, s# ~# y6 T0.7854 C, n1 ~4 o5 Z7 Q9 G7 v  C3 c
0.782
; G- f6 x3 r/ v0 u% g; Y0.773: [; n/ i' K% E
0.7661 N' k9 k+ k7 ^& b7 r
0.746/ A( T  k; Q4 R
0.726
; z9 M+ ]+ \* S; }0 {* f2 ~& `/ v; Z0.709
: M. m! G4 _; r0.697" i3 r0 V* Q! W0 m3 M
0.678% [; k- A0 C1 D  m
0.658$ O' e+ ~9 ]! a( n+ t
0.639$ V9 W5 y' K9 W% Q+ m( m
0.611$ ]* u6 z' p5 P7 |+ t5 E7 g
0.597
. v0 e( Z7 g' U! W1 ~, [: A# Y0.568. s/ `- }& \0 g& B/ |- ~( j/ e4 I! r
0.5530 d; g8 a$ Z  h7 d* ?+ ]
0.5223 R' o0 z9 D9 f5 Q( w) N
0.501
% j# s5 s7 z8 E- X0 \  f& R0.477* h+ [& K" N4 X) m; \
0.45! ~/ d0 I4 M% U% F9 u
0.421
* A1 n. O# p$ X0.396# k7 |4 `/ T4 d$ `+ b/ @; Z( Y
0.373  q3 d" O" p+ F  N) U' S  t
0.342
# B+ i# l5 E2 b- \% k+ s0.3196
; L  y  i: [* m) @: H2 G0.29848 i. G3 F( `1 `( m! R
0.2686
+ X8 w, o) o# [8 j0.2559
, w" ^- v. M' N& M$ e: z$ V- I/ v0.2146
% i. J' i& K& {4 q: w6 T0.206* H" l' j( n* @: O
0.1936: s5 D2 R" a, i, v
0.169) c% J8 d- y+ ^7 w
0.1516
* m, f. v" _9 C6 }" P0.1428/ t$ z$ J  I( S; h2 a
0.1234, ]. T$ E& e5 d1 G* x* C. K
0.11395 q+ [; V  |6 ~
0.1051
" }: i2 I+ H8 w) t0.0962% l8 ]2 V  p, _
0.0895
% ?, g1 O2 `0 L" q. e! o9 O0.0837
' I! k) I0 Z$ f, C6 T0.0802
: e0 Q) x/ H$ u0.0782
, g/ H/ ]* H4 l- B$ N' Z- d# P0.081$ R4 W1 u% X- d" n  d  I
0.0798
- `9 I  B8 e8 G0.0824+ q1 @5 l5 }7 |
0.087- g. Y1 \# ]0 j) `, u
0.0921
& J, Z. V# u- r' s( }0.1017/ R: B8 |. D0 j
0.1089
1 q" N  `  m7 p- ^3 F# u' q& J# E- P0.1205
) \3 Y% w. p5 E# K0.1345
* a% E1 d9 M% h4 N0.1467
; z4 J; Q( b' B! Z% E% I0.16) J/ E. Y9 h8 Y4 J$ ?
0.1759( F) f4 O+ U# v/ ^% ]
0.1947
0 B/ t3 Y1 |' L1 @6 z+ g0.2144- H2 K' h( D' @# L( A
0.2307: ?# s  Z; b) F5 s5 Y, w
0.2553
# i- Z( H5 V0 c' O; k- y6 v0.241
: @! H+ S3 L) ]5 S6 o+ ]0.3002$ u& I: U$ w  j" A5 ?2 S( @
0.3268
! \0 I) t) x+ \5 q- C0.348
+ b  M& \# R) c, Y: O, i0.369
3 E9 g% t7 Q. R1 Y, D+ i0.399' w# ]) |+ ^. V7 ]6 Y
0.42
/ m' m# u8 i# z% j% Y0.44: _3 h6 o% {( u9 z- b
0.466
3 i7 Q. |; ?) N3 q9 q, p0.492
9 |: Y0 t/ H7 m# ^; T& `) M0.51
  k$ l3 n5 H$ p! Y5 Z0.5356 N, ~, o8 c- ?/ }
0.555( j6 V1 U9 `3 C- w- q% b
0.576$ Y2 |$ j. ^/ C0 ^5 T3 S- V- p
0.592
; X9 D% R3 S' g2 W. P0.622
  D( s5 V2 Y; F4 o2 k0.638) G% h4 M( m4 E% R* \% O
0.648( ^9 g6 W" |5 o3 u$ e% J& J
0.666
' M2 |( k# I$ j' i! x/ ~% \1 F0.683, M# b& E7 a: L+ ^! Y5 y
0.703( n( t7 F# T8 `! ~' [
0.7145 ]4 x2 Q: @" B  R1 R
0.722
$ \& j- [9 Q) H' r9 @0.749# D, j, \( ]* ~) s) x
0.7520 F0 \- f8 A) [6 |- m+ V; [9 L
0.752
1 ~& m# Z! L" O) B9 h; _( {3 K0.759
0 g, T% u9 K* r3 I% A' R) A0.76% i) v; z: |2 j0 \2 u
0.759
, P' i1 F8 N& n( V; e4 }0.754
3 f0 `5 R: F: L3 L0.752( B/ r3 @* C, Q$ a6 h/ `
0.754
+ l" @1 g5 {) ~2 Z, e% J# S0.751. `1 w% f( c: }
0.746
6 u& Z6 k2 [% i0.7414 G9 n. e, |2 C( [! b
0.728
# h# R, K5 Z4 u. G3 |: \' e7 [, N4 \0.7157 p. G3 `+ [9 [1 S# {
0.702
2 v' p) v) K+ C0.684# L, U+ A8 R& z% `
0.6775 R3 F6 z# r) ~" b: }: j; a4 F
0.662
5 I2 e+ ^5 n9 J& ^0.635
0 }7 r+ w% j9 u$ f7 ?( L+ n0.62/ Z, S! j0 R0 W) M$ Y- s% V
0.598/ H! [1 O3 M* u6 f$ F+ m
0.5860 g1 u6 x* N/ ~" `
0.560 \/ Y/ Y+ K/ V
0.5376 t0 t# @+ M! v9 Y
0.5138 s3 ~- J/ G- Y' g) x# p
0.4943 u* S9 q$ M) i2 K6 e7 R3 W
0.4623 _6 x# B; g- P
0.443
/ `1 Q" _7 n! n/ a- v* `3 t7 w0.414/ X$ s$ f1 P+ i0 J# j" n* c( Q
0.385]';
0 G, _" C6 u) H, x$ p+ L" ]; n+ w, z% [5000 0 25000 3*pi/55],
; F  h0 A" i# w- P. _( N# s' i* na=[0.4 0.1 0.4];
( r7 R2 C% [* P! u4 Rfunc_sin = @(a,theta) a(1)*(sin((theta)+a(2)))^2 + a(3);
% {# ~5 X. d6 k7 eA= lsqcurvefit( func_sin,a,theta,y1);- J( e, j- R- r% M6 ?' S+ P- R+ J8 C" H
disp(A)8 p5 X" z, @' y8 o

' Q5 A( l' t! y) u: H  f" }9 G+ j( @0 L& W
错误类型:
( n5 Q/ y- M$ X! N0 q5 M, a5 B7 R$ ^4 Q8 q  P7 O; G( Q1 \# j
出错 Untitledexperiment (line 187)
# b$ M8 _  e: W- l  BA= lsqcurvefit( func_sin,a,theta,y1);
: [7 l4 k6 V, ]; b
4 s' u1 h0 c& Z; t原因:
* ~: r! I4 ]) `, J4 `    Failure in initial user-supplied objective function evaluation. LSQCURVEFIT cannot continue.
作者: House    时间: 2020-3-12 15:24
fx=@(a,x)a(1)*(sin(a(2)*x+a(3))).^2 + a(4);
0 p; u( p: i- ]SSy =  10.965) X2 f) R5 N- f% J% h' v; H/ W
a =[0.6987103424  0.01759903346  -0.791168842  0.08655566292]) {9 {8 N* n( W% M
RSS = 0.07081970855590 d" X! I! Y6 b3 R; @7 T
MSe = 0.00040238; M5 [' d: l0 D+ S( w  ~9 Y) }
R^2 = 0.993545 Y% R: H& w& J3 @* z6 d
也可用fx=(a(1)+a(2)*x+a(3)*x.^2).*sin(a(4)*x+a(5))+a(6);拟合,效果略好些。




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