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)>=10001 function [S,t,f,R,Serr]=mtspecgrampb(data,movingwin,params,fscorr) 0002 % Multi-taper time-frequency spectrum - binned point process 0003 % 0004 % Usage: 0005 % 0006 % [S,t,f,R,Serr]=mtspecgrampb(data,movingwin,params,fscorr) 0007 % Input: 0008 % data (in form samples x channels/trials or single vector) -- required 0009 % movingwin (in the form [window,winstep] i.e length of moving 0010 % window and step size. 0011 % 0012 % params: structure with fields tapers, pad, Fs, fpass, err, trialave 0013 % - optional 0014 % tapers : precalculated tapers from dpss or in the one of the following 0015 % forms: 0016 % (1) A numeric vector [TW K] where TW is the 0017 % time-bandwidth product and K is the number of 0018 % tapers to be used (less than or equal to 0019 % 2TW-1). 0020 % (2) A numeric vector [W T p] where W is the 0021 % bandwidth, T is the duration of the data and p 0022 % is an integer such that 2TW-p tapers are used. In 0023 % this form there is no default i.e. to specify 0024 % the bandwidth, you have to specify T and p as 0025 % well. Note that the units of W and T have to be 0026 % consistent: if W is in Hz, T must be in seconds 0027 % and vice versa. Note that these units must also 0028 % be consistent with the units of params.Fs: W can 0029 % be in Hz if and only if params.Fs is in Hz. 0030 % The default is to use form 1 with TW=3 and K=5 0031 % Note that T has to be equal to movingwin(1). 0032 % 0033 % pad (padding factor for the FFT) - optional (can take values -1,0,1,2...). 0034 % -1 corresponds to no padding, 0 corresponds to padding 0035 % to the next highest power of 2 etc. 0036 % e.g. For N = 500, if PAD = -1, we do not pad; if PAD = 0, we pad the FFT 0037 % to 512 points, if pad=1, we pad to 1024 points etc. 0038 % Defaults to 0. 0039 % Fs (sampling frequency) - optional. Default 1. 0040 % fpass (frequency band to be used in the calculation in the form 0041 % [fmin fmax])- optional. 0042 % Default all frequencies between 0 and Fs/2 0043 % err (error calculation [1 p] - Theoretical error bars; [2 p] - Jackknife error bars 0044 % [0 p] or 0 - no error bars) - optional. Default 0. 0045 % trialave (average over trials/channnels when 1, don't average when 0) - optional. Default 0 0046 % fscorr (finite size corrections, 0 (don't use finite size corrections) or 0047 % 1 (use finite size corrections) - optional 0048 % (available only for spikes). Defaults 0. 0049 % Output: 0050 % S (spectrum in form time x frequency x channels/trials for trialave=0; 0051 % or as a function of frequency if trialave=1) 0052 % t (times) 0053 % f (frequencies) 0054 % R (rate) 0055 % Serr (error bars) - only for err(1)>=1 0056 0057 if nargin < 2; error('Need data and window parameters'); end; 0058 if nargin < 3; params=[]; end; 0059 0060 [tapers,pad,Fs,fpass,err,trialave,params]=getparams(params); 0061 if length(params.tapers)==3 & movingwin(1)~=params.tapers(2); 0062 error('Duration of data in params.tapers is inconsistent with movingwin(1), modify params.tapers(2) to proceed') 0063 end 0064 0065 if nargin < 4 || isempty(fscorr); fscorr=0; end; 0066 if nargout > 4 && err(1)==0; 0067 % error('Cannot compute errors with err(1)=0'); 0068 error('When Serr is desired, err(1) has to be non-zero.'); 0069 end; 0070 data=change_row_to_column(data); 0071 [N,Ch]=size(data); 0072 Nwin=round(Fs*movingwin(1)); % number of samples in window 0073 Nstep=round(movingwin(2)*Fs); % number of samples to step through 0074 nfft=max(2^(nextpow2(Nwin)+pad),Nwin); 0075 f=getfgrid(Fs,nfft,fpass); Nf=length(f); 0076 params.tapers=dpsschk(tapers,Nwin,Fs); % check tapers 0077 winstart=1:Nstep:N-Nwin+1; 0078 nw=length(winstart); 0079 if trialave 0080 S = zeros(nw,Nf); 0081 R = zeros(nw,Nwin); 0082 if nargout==4; Serr=zeros(2,nw,Nf); end; 0083 else 0084 S = zeros(nw,Nf,Ch); 0085 R = zeros(nw,Nwin,Ch); 0086 if nargout==4; Serr=zeros(2,nw,Nf,Ch); end; 0087 end 0088 0089 for n=1:nw; 0090 indx=winstart(n):winstart(n)+Nwin-1; 0091 datawin=data(indx,:); 0092 if nargout==5; 0093 [s,f,r,serr]=mtspectrumpb(datawin,params,fscorr); 0094 Serr(1,n,:,:)=squeeze(serr(1,:,:)); 0095 Serr(2,n,:,:)=squeeze(serr(2,:,:)); 0096 else 0097 [s,f,r]=mtspectrumpb(datawin,params,fscorr); 0098 end; 0099 S(n,:,:)=s; 0100 R(n,:)=r'; 0101 end; 0102 winmid=winstart+round(Nwin/2); 0103 t=winmid/Fs; 0104 S=squeeze(S); R=squeeze(R); if nargout==5; Serr=squeeze(Serr);end