function [C,phi,S12,S1,S2,f,zerosp,confC,phistd,Cerr]=coherencypb(data1,data2,params,fscorr)
% Multi-taper coherency,cross-spectrum and individual spectra - binned point process
%
% Usage:
%
% [C,phi,S12,S1,S2,f,zerosp,confC,phistd,Cerr]=coherencypb(data1,data2,params,fscorr)
% Input:
% 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
% fscorr (finite size corrections, 0 (don't use finite size corrections) or
% 1 (use finite size corrections) - optional
% (available only for spikes). Defaults 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)
% zerosp (1 for trials in either channel where spikes were absent, zero otherwise)
% confC (confidence level for C at 1-p %) - only for err(1)>=1
% phistd - jackknife/theoretical 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;
if nargin < 2; error('Need data1 and data2'); end;
if nargin < 3; params=[]; end;
[tapers,pad,Fs,fpass,err,trialave,params]=getparams(params);
clear params
if nargin < 4 || isempty(fscorr); fscorr=0; end;
if nargout > 9 && err(1)~=2;
error('Cerr computed only for Jackknife. Correct inputs or outputs and run again');
end;
if nargout > 7 && err(1)==0;
error('When errors are desired, err(1) has to be non-zero.');
end;
[N,Ch]=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,Msp,Nsp1]=mtfftpb(data1,tapers,nfft);
[J2,Msp,Nsp2]=mtfftpb(data2,tapers,nfft);
zerosp=zeros(1,Ch); % initialize the zerosp variable
zerosp(Nsp1==0 | Nsp2==0)=1; % set the zerosp variable
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==10;
if fscorr==1;
[confC,phistd,Cerr]=coherr(C,J1,J2,err,trialave,Nsp1,Nsp2);
else
[confC,phistd,Cerr]=coherr(C,J1,J2,err,trialave);
end;
elseif nargout==9;
if fscorr==1;
[confC,phistd]=coherr(C,J1,J2,err,trialave,Nsp1,Nsp2);
else
[confC,phistd]=coherr(C,J1,J2,err,trialave);
end;
end;
clear Msp