求小波分析箱中连续小波变换程序
连续小波变换算法很多, 比如用数值积分\卷积\Fourier变换到频域, 看到的程序对应的算法看的不是很明白,谁有好的程序或工具箱中的原始程序,可否贴出来看看呢 谁帮忙写个对应的程序啊,谢谢!
算法 2
回复 #2 wuhanxy123 的帖子
function coefs = cwt(SIG,scales,WAV,plotmode,xlim)%CWT Real or Complex Continuous 1-D wavelet coefficients.
% COEFS = CWT(S,SCALES,'wname') computes the continuous
% wavelet coefficients of the vector S at real, positive
% SCALES, using wavelet whose name is 'wname'.
% The signal S is real, the wavelet can be real or complex.
%
% COEFS = CWT(S,SCALES,'wname','plot') computes
% and, in addition, plots the continuous wavelet
% transform coefficients.
%
% COEFS = CWT(S,SCALES,'wname',PLOTMODE) computes and,
% plots the continuous wavelet transform coefficients.
% Coefficients are colored using PLOTMODE.
% PLOTMODE = 'lvl' (By scale) or
% PLOTMODE = 'glb' (All scales) or
% PLOTMODE = 'abslvl' or 'lvlabs' (Absolute value and By scale) or
% PLOTMODE = 'absglb' or 'glbabs' (Absolute value and All scales)
%
% CWT(...,'plot') is equivalent to CWT(...,'absglb')
%
% You get 3-D plots (surfaces) using the same keywords listed
% above for the PLOTMODE parameter, preceded by '3D'. For example:
% COEFS = CWT(...,'3Dplot') or COEFS = CWT(...,'3Dlvl').
%
% COEFS = CWT(S,SCALES,'wname',PLOTMODE,XLIM) computes, and
% plots, the continuous wavelet transform coefficients.
% Coefficients are colored using PLOTMODE and XLIM.
% XLIM = with 1 <= x1 < x2 <= length(S).
%
% For each given scale a within the vector SCALES, the
% wavelet coefficients C(a,b) are computed for b = 1 to
% ls = length(S), and are stored in COEFS(i,:)
% if a = SCALES(i).
% Output argument COEFS is a la-by-ls matrix where la
% is the length of SCALES. COEFS is a real or complex matrix
% depending on the wavelet type.
%
% Examples of valid uses are:
% t = linspace(-1,1,512);
% s = 1-abs(t);
% c = cwt(s,1:32,'cgau4');
% c = cwt(s,,'morl');
% c = cwt(s,,'db2');
% c = cwt(s,1:32,'sym2','lvl');
% c = cwt(s,1:64,'sym4','abslvl',);
%
% See also WAVEDEC, WAVEFUN, WAVEINFO, WCODEMAT.
% M. Misiti, Y. Misiti, G. Oppenheim, J.M. Poggi 12-Mar-96.
% Last Revision: 15-May-2003.
% Copyright 1995-2004 The MathWorks, Inc.
% $Revision: 1.18.4.2 $ $Date: 2004/03/15 22:40:01 $
% Check scales.
%--------------
err = 0;
if isempty(scales) , err = 1;
elseif min(size(scales))>1 , err = 1;
elseif min(scales)<eps, err = 1;
end
if err
errargt(mfilename,'Invalid Value for Scales !','msg');
error('*')
end
% Check signal.
%--------------
if isnumeric(SIG)
val_SIG = SIG;
lenSIG= length(val_SIG);
xSIG = (1:lenSIG);
stepSIG = 1;
elseif isstruct(SIG)
try , val_SIG = SIG.y; catch , err = 1; end
if err~=1
lenSIG = length(val_SIG);
try
xSIG = SIG.x; stepSIG = xSIG(2)-xSIG(1);
catch
try
stepSIG = SIG.step;
xSIG = (0:stepSIG:(lenSIG-1)*stepSIG);
catch
try
xlim = SIG.xlim;
xSIG = linspace(xlim(1),xlim(2),lenSIG);
stepSIG = xSIG(2)-xSIG(1);
catch
xSIG = (1:lenSIG); stepSIG = 1;
end
end
end
end
elseif iscell(SIG)
val_SIG = SIG{1};
xATTRB= SIG{2};
lenSIG= length(val_SIG);
len_xATTRB = length(xATTRB);
if len_xATTRB==lenSIG
xSIG = xATTRB;
stepSIG = xSIG(2)-xSIG(1);
elseif len_xATTRB==2
xlim = xATTRB;
xSIG = linspace(xlim(1),xlim(2),lenSIG);
stepSIG = xSIG(2)-xSIG(1);
elseif len_xATTRB==1
stepSIG = xATTRB;
xSIG = (0:stepSIG:(lenSIG-1)*stepSIG);
else
xSIG = (1:length(SIG)); stepSIG = 1;
end
else
err = 1;
end
if err
errargt(mfilename,'Invalid Value for Signal !','msg');
error('*')
end
% Check wavelet.
%---------------
getINTEG = 1;
getWTYPE = 1;
if ischar(WAV)
precis = 10; % precis = 15;
= intwave(WAV,precis);
stepWAV = xWAV(2)-xWAV(1);
wtype = wavemngr('type',WAV);
if wtype==5 , val_WAV = conj(val_WAV); end
getINTEG = 0;
getWTYPE = 0;
elseif isnumeric(WAV)
val_WAV = WAV;
lenWAV= length(val_WAV);
xWAV = linspace(0,1,lenWAV);
stepWAV = 1/(lenWAV-1);
elseif isstruct(WAV)
try , val_WAV = WAV.y; catch , err = 1; end
if err~=1
lenWAV = length(val_WAV);
try
xWAV = WAV.x; stepWAV = xWAV(2)-xWAV(1);
catch
try
stepWAV = WAV.step;
xWAV = (0:stepWAV:(lenWAV-1)*stepWAV);
catch
try
xlim = WAV.xlim;
xWAV = linspace(xlim(1),xlim(2),lenWAV);
stepWAV = xWAV(2)-xWAV(1);
catch
xWAV = (1:lenWAV); stepWAV = 1;
end
end
end
end
elseif iscell(WAV)
if isnumeric(WAV{1})
val_WAV = WAV{1};
elseif ischar(WAV{1})
precis= 10;
val_WAV = intwave(WAV{1},precis);
wtype = wavemngr('type',WAV{1});
getINTEG = 0;
getWTYPE = 0;
end
xATTRB= WAV{2};
lenWAV= length(val_WAV);
len_xATTRB = length(xATTRB);
if len_xATTRB==lenWAV
xWAV = xATTRB; stepWAV = xWAV(2)-xWAV(1);
elseif len_xATTRB==2
xlim = xATTRB;
xWAV = linspace(xlim(1),xlim(2),lenWAV);
stepWAV = xWAV(2)-xWAV(1);
elseif len_xATTRB==1
stepWAV = xATTRB;
xWAV = (0:stepWAV:(lenWAV-1)*stepWAV);
else
xWAV = linspace(0,1,lenWAV);
stepWAV = 1/(lenWAV-1);
end
end
if err
errargt(mfilename,'Invalid Value for Wavelet !','msg');
error('*')
end
xWAV = xWAV-xWAV(1);
xMaxWAV = xWAV(end);
if getWTYPE ,wtype = 4; end
if getINTEG ,val_WAV = stepWAV*cumsum(val_WAV); end
%---------------------------------------------------------------------------%
val_SIG = val_SIG(:)';
nb_SCALES = length(scales);
coefs = zeros(nb_SCALES,lenSIG);
ind= 1;
for k = 1:nb_SCALES
a = scales(k);
a_SIG = a/stepSIG;
j = /(a_SIG*stepWAV))];
if length(j)==1 , j = ; end
f = fliplr(val_WAV(j));
coefs(ind,:) = -sqrt(a)*wkeep1(diff(wconv1(val_SIG,f)),lenSIG);
ind = ind+1;
end
% Test for plots.
%----------------
if nargin<4 , return; end
% Display Continuous Analysis.
%-----------------------------
dummyCoefs = coefs;
NBC = 240;
if strmatch('3D',plotmode)
dim_plot = '3D';
else
dim_plot = '2D';
end
if isequal(wtype,5)
if ~isempty(findstr(plotmode,'lvl'))
plotmode = 'lvl';
else
plotmode = 'glb';
end
end
switch plotmode
case {'lvl','3Dlvl'}
lev_mode= 'row';
abs_mode= 0;
beg_title = ['By scale'];
case {'glb','3Dglb'}
lev_mode= 'mat';
abs_mode= 0;
beg_title = '';
case {'abslvl','lvlabs','3Dabslvl','3Dlvlabs'}
lev_mode= 'row';
abs_mode= 1;
beg_title = ['Abs. and by scale'];
case {'absglb','glbabs','plot','2D','3Dabsglb','3Dglbabs','3Dplot','3D'}
lev_mode= 'mat';
abs_mode= 1;
beg_title = ['Absolute'];
otherwise
plotmode= 'absglb';
lev_mode= 'mat';
abs_mode= 1;
beg_title = ['Absolute'];
dim_plot= '2D';
end
if abs_mode , dummyCoefs = abs(dummyCoefs); end
if nargin==5
if xlim(2)<xlim(1) , xlim = xlim(); end
if xlim(1)<1 , xlim(1) = 1; end
if xlim(2)>lenSIG , xlim(2) = lenSIG; end
indices = ;
switch plotmode
case {'glb','absglb'}
cmin = min(min(dummyCoefs(:,indices)));
cmax = max(max(dummyCoefs(:,indices)));
dummyCoefs(dummyCoefs<cmin) = cmin;
dummyCoefs(dummyCoefs>cmax) = cmax;
case {'lvl','abslvl'}
cmin = min((dummyCoefs(:,indices))')';
cmax = max((dummyCoefs(:,indices))')';
for k=1:nb_SCALES
ind = dummyCoefs(k,:)<cmin(k);
dummyCoefs(k,ind) = cmin(k);
ind = dummyCoefs(k,:)>cmax(k);
dummyCoefs(k,ind) = cmax(k);
end
end
end
nb = min(5,nb_SCALES);
level = '';
for k=1:nb , level = ; end
if nb<nb_SCALES , level = ; end
nb = ceil(nb_SCALES/20);
tics = 1:nb:nb_SCALES;
tmp = scales(1:nb:nb*length(tics));
labs = num2str(tmp(:));
plotPARAMS = {NBC,lev_mode,abs_mode,tics,labs,''};
switch dim_plot
case '2D'
if wtype<5
titleSTR = ;
plotPARAMS{6} = titleSTR;
axeAct = gca;
plotCOEFS(axeAct,dummyCoefs,plotPARAMS);
else
axeAct = subplot(2,2,1);
titleSTR = ['Real part of Ca,b for a = ' level];
plotPARAMS{6} = titleSTR;
plotCOEFS(axeAct,real(dummyCoefs),plotPARAMS);
axeAct = subplot(2,2,2);
titleSTR = ['Imaginary part of Ca,b for a = ' level];
plotPARAMS{6} = titleSTR;
plotCOEFS(axeAct,imag(dummyCoefs),plotPARAMS);
axeAct = subplot(2,2,3);
titleSTR = ['Modulus of Ca,b for a = ' level];
plotPARAMS{6} = titleSTR;
plotCOEFS(axeAct,abs(dummyCoefs),plotPARAMS);
axeAct = subplot(2,2,4);
titleSTR = ['Angle of Ca,b for a = ' level];
plotPARAMS{6} = titleSTR;
plotCOEFS(axeAct,angle(dummyCoefs),plotPARAMS);
end
colormap(pink(NBC));
case '3D'
if wtype<5
titleSTR = ;
plotPARAMS{6} = titleSTR;
axeAct = gca;
surfCOEFS(axeAct,dummyCoefs,plotPARAMS);
else
axeAct = subplot(2,2,1);
titleSTR = ['Real part of Ca,b for a = ' level];
plotPARAMS{6} = titleSTR;
surfCOEFS(axeAct,real(dummyCoefs),plotPARAMS);
axeAct = subplot(2,2,2);
titleSTR = ['Imaginary part of Ca,b for a = ' level];
plotPARAMS{6} = titleSTR;
surfCOEFS(axeAct,imag(dummyCoefs),plotPARAMS);
axeAct = subplot(2,2,3);
titleSTR = ['Modulus of Ca,b for a = ' level];
plotPARAMS{6} = titleSTR;
surfCOEFS(axeAct,abs(dummyCoefs),plotPARAMS);
axeAct = subplot(2,2,4);
titleSTR = ['Angle of Ca,b for a = ' level];
plotPARAMS{6} = titleSTR;
surfCOEFS(axeAct,angle(dummyCoefs),plotPARAMS);
end
end
%----------------------------------------------------------------------
function plotCOEFS(axeAct,coefs,plotPARAMS)
= deal(plotPARAMS{:});
coefs = wcodemat(coefs,NBC,lev_mode,abs_mode);
img = image(coefs);
set(axeAct, ...
'YTick',tics, ...
'YTickLabel',labs, ...
'YDir','normal', ...
'Box','On' ...
);
title(titleSTR,'Parent',axeAct);
xlabel('time (or space) b','Parent',axeAct);
ylabel('scales a','Parent',axeAct);
%----------------------------------------------------------------------
function surfCOEFS(axeAct,coefs,plotPARAMS)
= deal(plotPARAMS{:});
img = surf(coefs);
set(axeAct, ...
'YTick',tics, ...
'YTickLabel',labs, ...
'YDir','normal', ...
'Box','On' ...
);
title(titleSTR,'Parent',axeAct);
xlabel('time (or space) b','Parent',axeAct);
ylabel('scales a','Parent',axeAct);
zlabel('COEFS','Parent',axeAct);
xl = ;
yl = ;
zl = ;
set(axeAct,'Xlim',xl,'Ylim',yl,'Zlim',zl,'view',[-30 40]);
colormap(pink(NBC));
shading('interp')
%----------------------------------------------------------------------
工具箱里面的程序 谢谢,我试试
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