function [C,phi,S12,S1,S2,f,confC,phistd,Cerr]=coherencyc(data1,data2,params)
% Multi-taper coherency,cross-spectrum and individual spectra - continuous process
%
% Usage:
% [C,phi,S12,S1,S2,f,confC,phistd,Cerr]=coherencyc(data1,data2,params)
% Input:
% Note units have to be consistent. See chronux.m for more information.
% data1 (in form samples x trials) -- required
% data2 (in form samples x trials) -- required
% params: structure with fields tapers, pad, Fs, fpass, err, trialave
% - 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.
% trialave (average over trials when 1, don't average when 0) - optional. Default 0
% Output:
% C (magnitude of coherency - frequencies x trials if trialave=0; dimension frequencies if trialave=1)
% phi (phase of coherency - frequencies x trials if trialave=0; dimension frequencies if trialave=1)
% S12 (cross spectrum - frequencies x trials if trialave=0; dimension frequencies if trialave=1)
% S1 (spectrum 1 - frequencies x trials if trialave=0; dimension frequencies if trialave=1)
% S2 (spectrum 2 - frequencies x trials if trialave=0; dimension frequencies if trialave=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 < 2; error('Need data1 and data2'); end;
data1=change_row_to_column(data1);
data2=change_row_to_column(data2);
if nargin < 3; params=[]; end;
[tapers,pad,Fs,fpass,err,trialave]=getparams(params);
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;
N=check_consistency(data1,data2);
nfft=max(2^(nextpow2(N)+pad),N);
[f,findx]=getfgrid(Fs,nfft,fpass);
tapers=dpsschk(tapers,N,Fs); % check tapers
J1=mtfftc(data1,tapers,nfft,Fs);
J2=mtfftc(data2,tapers,nfft,Fs);
J1=J1(findx,:,:); J2=J2(findx,:,:);
S12=squeeze(mean(conj(J1).*J2,2));
S1=squeeze(mean(conj(J1).*J1,2));
S2=squeeze(mean(conj(J2).*J2,2));
if trialave; S12=squeeze(mean(S12,2)); S1=squeeze(mean(S1,2)); S2=squeeze(mean(S2,2)); end;
C12=S12./sqrt(S1.*S2);
C=abs(C12);
phi=angle(C12);
if nargout>=9;
[confC,phistd,Cerr]=coherr(C,J1,J2,err,trialave);
elseif nargout==8;
[confC,phistd]=coherr(C,J1,J2,err,trialave);
end;