function [S,f,varS,C,Serr]=mtspectrumsegc(data,win,params,segave) % Multi-taper segmented spectrum for a univariate continuous process % % Usage: % % [S,f,varS,C,Serr]=mtspectrumsegc(data,win,params,segave) % Input: % Note units have to be consistent. See chronux.m for more information. % data (single channel) -- required % win (duration of the segments) - 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 - not used % segave - optional 0 for don't average over segments, 1 for average - default % 1 % Output: % S (spectrum in form frequency x segments if segave=0; in the form frequency if segave=1) % f (frequencies) % varS (variance of the log spectrum) % C (covariance matrix of the log spectrum - frequency x % frequency matrix) % Serr (error bars) only for err(1)>=1 if nargin < 2; error('Need data and segment information'); end; data=change_row_to_column(data); if size(data,2)~=1; error('works for only univariate time series'); end; if nargin < 3 ; params=[]; end; if nargin < 4 || isempty(segave); segave=1; end; [tapers,pad,Fs,fpass,err,trialave,params]=getparams(params); clear trialave params if nargout==4 && err(1)==0; % Errors can't be computed if err(1)=0. Need to change params and run again. error('When Serr is desired, err(1) has to be non-zero.'); end; N=size(data,1); % length of segmented data 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 data=createdatamatc(data,E,Fs,win); % segmented data N=size(data,1); % length of segmented data nfft=max(2^(nextpow2(N)+pad),N); [f,findx]=getfgrid(Fs,nfft,fpass); tapers=dpsschk(tapers,N,Fs); % check tapers J=mtfftc(data,tapers,nfft,Fs); % compute tapered fourier transforms J=J(findx,:,:); % restrict to specified frequencies S=squeeze(mean(conj(J).*J,2)); % spectra of non-overlapping segments (average over tapers) if segave==1; SS=squeeze(mean(S,2)); else; SS=S;end; % mean of the spectrum averaged across segments if nargout > 2 lS=log(S); % log spectrum for nonoverlapping segments varS=var(lS',1)'; % variance of log spectrum % varS=var(lS',1)';% variance of the log spectrum R13 if nargout > 3 C=cov(lS'); % covariance matrix of the log spectrum if nargout==5; Serr=specerr(SS,J,err,segave); end; end; end; S=SS;