function [S,f,R,Serr]=mtspectrumpb(data,params,fscorr)
% Multi-taper spectrum - binned point process
%
% Usage:
%
% [S,f,R,Serr]=mtspectrumpb(data,params,fscorr)
% Input:
% data (in form samples x channels/trials or a single vector) -- 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 channels/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:
% S (spectrum in form frequency x channels/trials if trialave=0;
% as a function of frequency if trialave=1)
% f (frequencies)
% R (spike rate)
% Serr (error bars) - only for err(1)>=1
if nargin < 1; error('Need data'); end;
if nargin < 2; params=[]; end;
[tapers,pad,Fs,fpass,err,trialave,params]=getparams(params);
clear params
if nargout > 3 && err(1)==0;
% Cannot compute error bars with err(1)=0. Need to change params and run again
error('When Serr is desired, err(1) has to be non-zero.');
end;
if nargin < 3 || isempty(fscorr); fscorr=0;end;
data=change_row_to_column(data);
N=size(data,1);
nfft=max(2^(nextpow2(N)+pad),N);
[f,findx]=getfgrid(Fs,nfft,fpass);
tapers=dpsschk(tapers,N,Fs); % check tapers
[J,Msp,Nsp]=mtfftpb(data,tapers,nfft);
J=J(findx,:,:);
% size(J)
% J1=J(:,1);
% J1(1:5)
% J2=J1(2:size(J1));
% J3=flipud(J2);
% J4=conj(J3);
% J4=vertcat(J1(1),J4,J1(2:size(J1)));
% J4(length(J1)-3:length(J1)+3)
% plot(ifft(J4))
% dlmwrite('fft5.txt',J4,'delimiter','\n');
% plot(ifft(J(:,1)),'.')
S=squeeze(mean(conj(J).*J,2));
if trialave; S=squeeze(mean(S,2)); Msp=mean(Msp);end;
% plot(f,log10(S))
R=Msp*Fs;
if nargout==4;
if fscorr==1;
Serr=specerr(S,J,err,trialave,Nsp);
else
Serr=specerr(S,J,err,trialave);
end;
end;