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- function [C,phi,S12,S1,S2,f,confC,phistd,Cerr]=coherencysegc(data1,data2,win,params)
- % Multi-taper coherency, cross-spectrum and individual spectra with segmenting - continuous process
- % computed by segmenting two univariate time series into chunks
- %
- % Usage:
- % [C,phi,S12,S1,S2,f,confC,phistd,Cerr]=coherencysegc(data1,data2,win,params)
- % Input:
- % Note units have to be consistent. See chronux.m for more information.
- % data1 (column vector) -- required
- % data2 (column vector) -- required
- % win (length of segments) - required
- % params: structure with fields tapers, pad, Fs, fpass, err
- % - optional
- % tapers : precalculated tapers from dpss or in the one of the following
- % forms:
- % (1) A numeric vector [TW K] where TW is the
- % time-bandwidth product and K is the number of
- % tapers to be used (less than or equal to
- % 2TW-1).
- % (2) A numeric vector [W T p] where W is the
- % bandwidth, T is the duration of the data and p
- % is an integer such that 2TW-p tapers are used. In
- % this form there is no default i.e. to specify
- % the bandwidth, you have to specify T and p as
- % well. Note that the units of W and T have to be
- % consistent: if W is in Hz, T must be in seconds
- % and vice versa. Note that these units must also
- % be consistent with the units of params.Fs: W can
- % be in Hz if and only if params.Fs is in Hz.
- % The default is to use form 1 with TW=3 and K=5
- %
- % pad (padding factor for the FFT) - optional (can take values -1,0,1,2...).
- % -1 corresponds to no padding, 0 corresponds to padding
- % to the next highest power of 2 etc.
- % e.g. For N = 500, if PAD = -1, we do not pad; if PAD = 0, we pad the FFT
- % to 512 points, if pad=1, we pad to 1024 points etc.
- % Defaults to 0.
- % Fs (sampling frequency) - optional. Default 1.
- % fpass (frequency band to be used in the calculation in the form
- % [fmin fmax])- optional.
- % Default all frequencies between 0 and Fs/2
- % err (error calculation [1 p] - Theoretical error bars; [2 p] - Jackknife error bars
- % [0 p] or 0 - no error bars) - optional. Default 0.
- % Output:
- % C (magnitude of coherency - frequencies x segments if segave=0; dimension frequencies if segave=1)
- % phi (phase of coherency - frequencies x segments if segave=0; dimension frequencies if segave=1)
- % S12 (cross spectrum - frequencies x segments if segave=0; dimension frequencies if segave=1)
- % S1 (spectrum 1 - frequencies x segments if segave=0; dimension frequencies if segave=1)
- % S2 (spectrum 2 - frequencies x segments if segave=0; dimension frequencies if segave=1)
- % f (frequencies)
- % confC (confidence level for C at 1-p %) - only for err(1)>=1
- % phistd - theoretical/jackknife (depending on err(1)=1/err(1)=2) standard deviation for phi
- % Note that phi + 2 phistd and phi - 2 phistd will give 95% confidence
- % bands for phi - only for err(1)>=1
- % Cerr (Jackknife error bars for C - use only for Jackknife - err(1)=2)
- if nargin < 3; error('Need data1 and data2 and size of segment'); end;
- if nargin < 4; params=[]; end;
- [tapers,pad,Fs,fpass,err,trialave,params]=getparams(params);
- clear tapers pad fpass trialave
- if nargout > 8 && err(1)~=2;
- error('Cerr computed only for Jackknife. Correct inputs and run again');
- end;
- if nargout > 6 && err(1)==0;
- % Errors computed only if err(1) is nonzero. Need to change params and run again.
- error('When errors are desired, err(1) has to be non-zero.');
- end;
- if size(data1,2)~=1 || size(data2,2)~=1; error('works for only univariate time series'); end;
- N=check_consistency(data1,data2);
- dt=1/Fs; % sampling interval
- T=N*dt; % length of data in seconds
- E=0:win:T-win; % fictitious event triggers
- win=[0 win]; % use window length to define left and right limits of windows around triggers
- data1=createdatamatc(data1,E,Fs,win); % segmented data 1
- data2=createdatamatc(data2,E,Fs,win); % segmented data 2
- params.trialave=1;
- params.trialave=1;
- if err==0;
- [C,phi,S12,S1,S2,f]=coherencyc(data1,data2,params); % compute coherency for segmented data
- elseif err(1)==1;
- [C,phi,S12,S1,S2,f,confC,phistd]=coherencyc(data1,data2,params); % compute coherency for segmented data
- elseif err(1)==2;
- [C,phi,S12,S1,S2,f,confC,phistd,Cerr]=coherencyc(data1,data2,params); % compute coherency for segmented data
- end;
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