


Multi-taper coherency,cross-spectrum and individual spectra computed by segmenting two univariate binned point processes into chunks
Usage:
[C,phi,S12,S1,S2,f,zerosp,confC,phistd,Cerr]=coherencysegpb(data1,data2,win,params,segave,fscorr)
Input:
Note units have to be consistent. See chronux.m for more information.
data1 (column vector, binned point process data) -- required
data2 (column vector, binned point process data) -- required
win (length of segments) - required
params: structure with fields tapers, pad, Fs, fpass, err
- optional
tapers (precalculated tapers from dpss, or in the form [NW K] e.g [3 5]) -- optional. If not
specified, use [NW K]=[3 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.
segave (average over segments for 1, don't average for 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 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)
zerosp (1 for segments where no spikes were found, 0 otherwise)
confC (confidence level for C at 1-p %)
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)

0001 function [C,phi,S12,S1,S2,f,zerosp,confC,phistd,Cerr]=coherencysegpb(data1,data2,win,params,segave,fscorr) 0002 % Multi-taper coherency,cross-spectrum and individual spectra computed by segmenting two univariate binned point processes into chunks 0003 % 0004 % Usage: 0005 % [C,phi,S12,S1,S2,f,zerosp,confC,phistd,Cerr]=coherencysegpb(data1,data2,win,params,segave,fscorr) 0006 % Input: 0007 % Note units have to be consistent. See chronux.m for more information. 0008 % data1 (column vector, binned point process data) -- required 0009 % data2 (column vector, binned point process data) -- required 0010 % win (length of segments) - required 0011 % params: structure with fields tapers, pad, Fs, fpass, err 0012 % - optional 0013 % tapers (precalculated tapers from dpss, or in the form [NW K] e.g [3 5]) -- optional. If not 0014 % specified, use [NW K]=[3 5] 0015 % pad (padding factor for the FFT) - optional (can take values -1,0,1,2...). 0016 % -1 corresponds to no padding, 0 corresponds to padding 0017 % to the next highest power of 2 etc. 0018 % e.g. For N = 500, if PAD = -1, we do not pad; if PAD = 0, we pad the FFT 0019 % to 512 points, if pad=1, we pad to 1024 points etc. 0020 % Defaults to 0. 0021 % Fs (sampling frequency) - optional. Default 1. 0022 % fpass (frequency band to be used in the calculation in the form 0023 % [fmin fmax])- optional. 0024 % Default all frequencies between 0 and Fs/2 0025 % err (error calculation [1 p] - Theoretical error bars; [2 p] - Jackknife error bars 0026 % [0 p] or 0 - no error bars) - optional. Default 0. 0027 % segave (average over segments for 1, don't average for 0) 0028 % fscorr (finite size corrections, 0 (don't use finite size corrections) or 1 (use finite size corrections) - optional 0029 % (available only for spikes). Defaults 0. 0030 % Output: 0031 % C (magnitude of coherency - frequencies x segments if segave=0; dimension frequencies if segave=1) 0032 % phi (phase of coherency - frequencies x segments if segave=0; dimension frequencies if segave=1) 0033 % S12 (cross spectrum - frequencies x segments if segave=0; dimension frequencies if segave=1) 0034 % S1 (spectrum 1 - frequencies x segments if segave=0; dimension frequencies if segave=1) 0035 % S2 (spectrum 2 - frequencies x segments if segave=0; dimension 0036 % frequencies if segave=1) 0037 % f (frequencies) 0038 % zerosp (1 for segments where no spikes were found, 0 otherwise) 0039 % confC (confidence level for C at 1-p %) 0040 % phistd - jackknife/theoretical standard deviation for phi - Note that 0041 % phi + 2 phistd and phi -2 phistd will give 95% confidence bands for phi - only for err(1)>=1 0042 % Cerr (Jackknife error bars for C - use only for Jackknife) 0043 0044 if nargin < 3; error('Need data1 and data2 and size of segment'); end; 0045 if nargin < 4; params=[]; end; 0046 [tapers,pad,Fs,fpass,err,trialave,params]=getparams(params); 0047 clear tapers pad fpass trialave 0048 if nargin < 5 || isempty(segave); segave=1;end; 0049 if nargin < 6 || isempty(fscorr); fscorr=0; end; 0050 0051 if nargout > 9 && err(1)~=2; 0052 error('Cerr computed only for Jackknife. Correct inputs and run again'); 0053 end; 0054 if nargout > 7 && err(1)==0; 0055 error('When error are desired, err(1) has to be non-zero.'); 0056 end; 0057 0058 N=check_consistency(data1,data2); 0059 dt=1/Fs; % sampling interval 0060 T=N*dt; % length of data in seconds 0061 E=0:win:T-win; % fictitious event triggers 0062 win=[0 win]; % use window length to define left and right limits of windows around triggers 0063 data1=createdatamatpb(data1,E,Fs,win); % segmented data 1 0064 data2=createdatamatpb(data2,E,Fs,win); % segmented data 2 0065 params.trialave=segave; 0066 if err(1)==0; 0067 [C,phi,S12,S1,S2,f,zerosp]=coherencypb(data1,data2,params,fscorr); % compute coherency for segmented data 0068 elseif err(1)==1; 0069 [C,phi,S12,S1,S2,f,zerosp,confC,phistd]=coherencypb(data1,data2,params,fscorr); % compute coherency for segmented data 0070 elseif err(1)==2; 0071 [C,phi,S12,S1,S2,f,zerosp,confC,phistd,Cerr]=coherencypb(data1,data2,params,fscorr); % compute coherency for segmented data 0072 end;