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author Daniele Nicolodi <nicolodi@science.unitn.it>
date Mon, 05 Dec 2011 16:20:06 +0100
parents f0afece42f48
children bc767aaa99a8
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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1 % MATH helper class for math utility functions.
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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2 %
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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3 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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4 %
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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5 % DESCRIPTION: MATH is a helper class for math utility functions.
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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6 %
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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7 % To see the available static methods, call
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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8 %
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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9 % >> methods utils.math
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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10 %
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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11 % HISTORY: M Hewitson 26-05-08
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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12 % Creation
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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13 %
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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14 % VERSION: $Id: math.m,v 1.77 2011/10/07 08:19:06 miquel Exp $
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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15 %
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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16 %
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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17 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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18
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Daniele Nicolodi <nicolodi@science.unitn.it>
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19 classdef math
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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20
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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21 %------------------------------------------------
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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22 %--------- Declaration of Static methods --------
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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23 %------------------------------------------------
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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24 methods (Static)
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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25
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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26
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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27 %-------------------------------------------------------------
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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28 % List other methods
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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29 %-------------------------------------------------------------
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Daniele Nicolodi <nicolodi@science.unitn.it>
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30
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Daniele Nicolodi <nicolodi@science.unitn.it>
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31 varargout = intfact(varargin); % Compute two integers P and Q
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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32 varargout = cpf(varargin)
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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33 varargout = lp2z(varargin)
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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34 p = phase(resp)
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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35 r = deg2rad(deg, min, sec)
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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36 [G,ri] = fq2ri(f0, Q)
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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37 ri = fq2ri2(f0, Q)
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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38 [f0, q] = ri2fq(c)
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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39 deg = unwrapdeg(phase)
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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40 val = rand(r1, r2)
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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41 [res,poles,dterm,mresp,rdl,rmse] = autocfit(y,f,params)
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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42 [res,poles,dterm,mresp,rdl,rmse] = autodfit(y,f,fs,params)
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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43 [res,poles,dterm,mresp,rdl] = ctfit(y,f,poles,weight,fitin)
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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44 [res,poles,dterm,mresp,rdl] = dtfit(y,f,poles,weight,fitin)
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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45 [res,poles,dterm,mresp,rdl,rmse] = vcfit(y,f,poles,weight,fitin)
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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46 [res,poles,dterm,mresp,rdl,rmse] = vdfit(y,f,poles,weight,fitin)
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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47 [h11,h12,h21,h22] = eigpsd(psd1,csd,psd2,varargin)
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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48 [h11,h12,h21,h22] = eigcsd(csd11,csd12,csd21,csd22,varargin)
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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49 varargout = pfallps(ir,ip,id,mresp,f,varargin)
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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50 [nr,np,nd,nmresp] = pfallpsymz(r,p,d,mresp,f,fs)
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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51 [nr,np,nd,nmresp] = pfallpsyms(r,p,d,f)
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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52 varargout = pfallpz(ir,ip,id,mresp,f,fs,varargin)
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Daniele Nicolodi <nicolodi@science.unitn.it>
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53 varargout = psd2tf(varargin)
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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54 varargout = psd2wf(varargin)
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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55 spoles = startpoles(order,f,params)
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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56 weight = wfun(y,weightparam)
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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57 [ext,msg] = stopfit(y,rdl,rmse,ctp,lrscond,rmsevar)
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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58 pfr = pfresp(pfparams)
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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59 Deriv = fpsder(a, params)
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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60 zi = iirinit(a,b)
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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61 sw = spflat(S)
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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62 out = randelement(arr, N)
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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63 covmat = jr2cov(J,resid)
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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64 J = getjacobian(coeff,model,X)
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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65 h = ndeigcsd(csd,varargin)
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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66 ostruct = csd2tf(csd,f,params)
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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67 [res,poles,fullpoles,mresp,rdl,mse] = psdzfit(y,f,poles,weight,fitin)
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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68 varargout = computepsd(Sxx,Svxx,w,range,nfft,Fs,esttype)
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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69 res = isequal(varargin)
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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70 [a,Ca,Corra,Vu,bu,Cbu,Fbu,mse,dof,ppm] = linfitsvd(varargin)
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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71 [a,Ca,Corra,Vu,bu,Cbu,Fbu,mse,dof,ppm] = linlsqsvd(varargin)
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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72 Zi = getinitstate(res,poles,S0,varargin)
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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73 varargout = pfallpz2(ip,mresp,f,fs)
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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74 ostruct = csd2tf2(csd,f,params)
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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75 varargout = pfallpsymz2(ip,mresp,f,fs)
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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76 varargout = pfallpsyms2(ip,mresp,f)
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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77 varargout = pfallps2(ip,mresp,f)
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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78 FisMat = fisher_2x2(i1,i2,n,mdl,params,numparams,freqs,N,pl,inNames,outNames)
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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79 FisMat = fisher_1x1(i1,n,mdl,params,numparams,freqs,N,pl,inNames,outNames)
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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80 best = diffStepFish(i1,i2,S11,S12,S21,S22,N,meval,params,ngrid,ranges,freqs,inNames,outNames)
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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81 best = diffStepFish_1x1(i1,S11,N,meval,params,values,ngrid,ranges,freqs,inNames,outNames)
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
82 loglk = loglikelihood(varargin)
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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83 loglk = loglikelihood_ssm(varargin)
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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84 [loglk snr] = loglikelihood_matrix(varargin)
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
85 snrexp = stnr(tmplt1,tmplt2,out1,out2,InvS11,InvS22,InvS12,InvS21)
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
86 loglk = loglikelihood_ssm_td(xp,in,out,parnames,model,inNames,outNames,Noise,varargin)
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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87 loglk = loglikelihood_td(res,noise,varargin)
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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88 params = fitPrior(prior,nparam,chain,bins)
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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89 Xt = blwhitenoise(npts,fs,fl,fh)
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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90 [smpl smplr] = mhsample(model,in,out,nse,cov,number,limit,param,Tc,xi,xo,search,jumps,parplot,dbg_info,inNames,outNames,fpars,anneal,SNR0,DeltaL,inModel,outModel)
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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91 [A,B,C,D] = pf2ss(res,poles,dterm)
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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92 [w_i,powers,w_mse,p_mse] = rootmusic(x,p,varargin)
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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93 [music_data,msg] = music(x,p,varargin)
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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94 k = getk(z,p,zfg)
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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95 dc = getdc(z,p,k)
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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96 [A,B,C,D] = pzmodel2SSMats(pzm)
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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97 varargout = filtfilt_filterbank(fbk,in)
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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98 cmat = xCovmat(x,y,varargin)
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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99 chi2 = chisquare_ssm_td(xp,in,out,parnames,model,inNames,outNames,varargin)
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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100 [CorrC,SigC] = cov2corr(Covar)
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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101 Covar = corr2cov(CorrC,SigC)
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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102 R = Rcovmat(x)
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
103 smpl = mhsample_td(model,in,out,cov,number,limit,parnames,Tc,xi,xo,search,jumps,parplot,dbg_info,inNames,outNames,inNoise,inNoiseNames,cutbefore,cutafter)
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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104 Bxy = rjsample(model,in,out,nse,cov,number,limit,param,Tc,xi,xo,search,jumps,parplot,dbg_info,inNames,outNames,inModel,outModel)
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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105 [Fout,x] = ecdf(y)
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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106 cVal = SKcriticalvalues(n1,n2,alph)
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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107 x = Finv(p,n1,n2)
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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108 p = Fcdf(x,n1,n2)
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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109 rsp = mtxiirresp(fil,freq,fs,bank)
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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110 rsp = mtxiirresp2(A,B,freq,fs)
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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111 rsp = mtxratresp2(A,B,freq)
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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112 f = getfftfreq(nfft,fs,type)
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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113 h = cdfplot(y1,y2,ops)
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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114 h = qqplot(y1,y2,ops)
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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115 h = ppplot(y1,y2,ops)
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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116 boxplot(varargin)
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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117 p = Normcdf(x,mu,sigma)
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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118 x = Norminv(p,mu,sigma)
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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119 p = Chi2cdf(x,v)
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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120 x = Chi2inv(p,v)
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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121 [H, KSstatistic, criticalValue, pValue] = kstest(y1, y2, alpha, varargin)
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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122 [test,critValue,pValue] = Ftest(F,dof1,dof2,alpha,twoTailed)
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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123 test = SFtest(X,Y,alpha,showPlots)
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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124 s = Skew(x)
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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125 k = Kurt(x)
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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126 [rw,s] = crank(w)
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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127 [rs,pValue,TestRes] = spcorr(y1,y2,alpha)
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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128 [chi2,g] = chi2(p,data,models,Dmodels,lb,ub)
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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129 pValue = KSpValue(KSstatistic,n1,n2)
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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130 R = freqCorr(w,eta,T)
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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131 varargout = overlapCorr(w,N,navs)
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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132 Gf = dft(gt,f,T)
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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133 Sf = computeDftPeriodogram(x,fs,f,order,win,psll)
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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134 Sf = welchdft(x,fs,f,Ns,olap,navs,order,win,psll)
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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135 y = unitStep(x);
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
136 y = heaviside(x);
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
137 %-------------------------------------------------------------
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
138 %-------------------------------------------------------------
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
139
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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140 end % End static methods
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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141
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parents:
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142
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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143 end
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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144
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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145 % END