function [S,t,f,R,Serr]=mtspecgrampb(data,movingwin,params,fscorr)
% Multi-taper time-frequency spectrum - binned point process
%
% Usage:
%
% [S,t,f,R,Serr]=mtspecgrampb(data,movingwin,params,fscorr)
% Input:
% data (in form samples x channels/trials or single vector) -- required
% movingwin (in the form [window,winstep] i.e length of moving
% window and step size.
%
% 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
% Note that T has to be equal to movingwin(1).
%
% 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/channnels 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:
% S (spectrum in form time x frequency x channels/trials for trialave=0;
% or as a function of frequency if trialave=1)
% t (times)
% f (frequencies)
% R (rate)
% Serr (error bars) - only for err(1)>=1
if nargin < 2; error('Need data and window parameters'); end;
if nargin < 3; params=[]; end;
if length(params.tapers)==3 & movingwin(1)~=params.tapers(2);
error('Duration of data in params.tapers is inconsistent with movingwin(1), modify params.tapers(2) to proceed')
end
[tapers,pad,Fs,fpass,err,trialave,params]=getparams(params);
if nargin < 4 || isempty(fscorr); fscorr=0; end;
if nargout > 4 && err(1)==0;
% error('Cannot compute errors with err(1)=0');
error('When Serr is desired, err(1) has to be non-zero.');
end;
data=change_row_to_column(data);
[N,Ch]=size(data);
Nwin=round(Fs*movingwin(1)); % number of samples in window
Nstep=round(movingwin(2)*Fs); % number of samples to step through
nfft=max(2^(nextpow2(Nwin)+pad),Nwin);
f=getfgrid(Fs,nfft,fpass); Nf=length(f);
params.tapers=dpsschk(tapers,Nwin,Fs); % check tapers
winstart=1:Nstep:N-Nwin+1;
nw=length(winstart);
if trialave
S = zeros(nw,Nf);
R = zeros(nw,Nwin);
if nargout==4; Serr=zeros(2,nw,Nf); end;
else
S = zeros(nw,Nf,Ch);
R = zeros(nw,Nwin,Ch);
if nargout==4; Serr=zeros(2,nw,Nf,Ch); end;
end
for n=1:nw;
indx=winstart(n):winstart(n)+Nwin-1;
datawin=data(indx,:);
if nargout==5;
[s,f,r,serr]=mtspectrumpb(datawin,params,fscorr);
Serr(1,n,:,:)=squeeze(serr(1,:,:));
Serr(2,n,:,:)=squeeze(serr(2,:,:));
else
[s,f,r]=mtspectrumpb(datawin,params,fscorr);
end;
S(n,:,:)=s;
R(n,:)=r';
end;
winmid=winstart+round(Nwin/2);
t=winmid/Fs;
S=squeeze(S); R=squeeze(R); if nargout==5; Serr=squeeze(Serr);end