Multi-taper derivative time-frequency spectrum - point process times Usage: [dS,t,f]=mtdspecgrampt(data,movingwin,phi,params) Input: Note that all times can be in arbitrary units. But the units have to be consistent. So, if E is in secs, win, t have to be in secs, and Fs has to be Hz. If E is in samples, so are win and t, and Fs=1. In case of spike times, the units have to be consistent with the units of data as well. data (structure array of spike times with dimension channels/trials; also accepts 1d array of spike times) -- required movingwin (in the form [window winstep] i.e length of moving window and step size. Note that units here have to be consistent with units of Fs phi (angle for evaluation of derivative) -- required. e.g. phi=[0,pi/2] giving the time and frequency derivatives params: structure with fields tapers, pad, Fs, fpass, 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 trialave (average over trials when 1, don't average when 0) - optional. Default 0 Output: dS (spectral derivative in form phi x time x frequency x channels/trials if trialave=0; in form phi x time x frequency if trialave=1) t (times) f (frequencies)

- extractdatapt Extract segements of spike times between t(1) and t(2)
- minmaxsptimes Find the minimum and maximum of the spike times in each channel
- mtdspectrumpt Multi-taper spectral derivative - point process times

0001 function [dS,t,f]=mtdspecgrampt(data,movingwin,phi,params) 0002 % Multi-taper derivative time-frequency spectrum - point process times 0003 % 0004 % Usage: 0005 % 0006 % [dS,t,f]=mtdspecgrampt(data,movingwin,phi,params) 0007 % Input: 0008 % Note that all times can be in arbitrary units. But the units have to be 0009 % consistent. So, if E is in secs, win, t have to be in secs, and Fs has to 0010 % be Hz. If E is in samples, so are win and t, and Fs=1. In case of spike 0011 % times, the units have to be consistent with the units of data as well. 0012 % data (structure array of spike times with dimension channels/trials; 0013 % also accepts 1d array of spike times) -- required 0014 % movingwin (in the form [window winstep] i.e length of moving 0015 % window and step size. 0016 % Note that units here have 0017 % to be consistent with 0018 % units of Fs 0019 % phi (angle for evaluation of derivative) -- required. 0020 % e.g. phi=[0,pi/2] giving the time and frequency 0021 % derivatives 0022 % params: structure with fields tapers, pad, Fs, fpass, trialave 0023 % -optional 0024 % tapers : precalculated tapers from dpss or in the one of the following 0025 % forms: 0026 % (1) A numeric vector [TW K] where TW is the 0027 % time-bandwidth product and K is the number of 0028 % tapers to be used (less than or equal to 0029 % 2TW-1). 0030 % (2) A numeric vector [W T p] where W is the 0031 % bandwidth, T is the duration of the data and p 0032 % is an integer such that 2TW-p tapers are used. In 0033 % this form there is no default i.e. to specify 0034 % the bandwidth, you have to specify T and p as 0035 % well. Note that the units of W and T have to be 0036 % consistent: if W is in Hz, T must be in seconds 0037 % and vice versa. Note that these units must also 0038 % be consistent with the units of params.Fs: W can 0039 % be in Hz if and only if params.Fs is in Hz. 0040 % The default is to use form 1 with TW=3 and K=5 0041 % Note that T has to be equal to movingwin(1). 0042 % 0043 % pad (padding factor for the FFT) - optional (can take values -1,0,1,2...). 0044 % -1 corresponds to no padding, 0 corresponds to padding 0045 % to the next highest power of 2 etc. 0046 % e.g. For N = 500, if PAD = -1, we do not pad; if PAD = 0, we pad the FFT 0047 % to 512 points, if pad=1, we pad to 1024 points etc. 0048 % Defaults to 0. 0049 % Fs (sampling frequency) - optional. Default 1. 0050 % fpass (frequency band to be used in the calculation in the form 0051 % [fmin fmax])- optional. 0052 % Default all frequencies between 0 and 0053 % Fs/2 0054 % trialave (average over trials when 1, don't average when 0) - 0055 % optional. Default 0 0056 % Output: 0057 % dS (spectral derivative in form phi x time x frequency x channels/trials if trialave=0; 0058 % in form phi x time x frequency if trialave=1) 0059 % t (times) 0060 % f (frequencies) 0061 0062 if nargin < 3; error('Need data, window parameters and angle'); end; 0063 if nargin < 4; params=[]; end; 0064 0065 if length(params.tapers)==3 & movingwin(1)~=params.tapers(2); 0066 error('Duration of data in params.tapers is inconsistent with movingwin(1), modify params.tapers(2) to proceed') 0067 end 0068 0069 [tapers,pad,Fs,fpass,err,trialave,params]=getparams(params); 0070 clear err 0071 [mintime,maxtime]=minmaxsptimes(data); 0072 tn=(mintime+movingwin(1)/2:movingwin(2):maxtime-movingwin(1)/2); 0073 Nwin=round(Fs*movingwin(1)); % number of samples in window 0074 % Nstep=round(movingwin(2)*Fs); % number of samples to step through 0075 nfft=max(2^(nextpow2(Nwin)+pad),Nwin); 0076 f=getfgrid(Fs,nfft,fpass); Nf=length(f); 0077 params.tapers=dpsschk(tapers,Nwin,Fs); % check tapers 0078 %K=size(params.tapers,2); 0079 nw=length(tn); 0080 if trialave==0; dS=zeros(length(phi),nw,Nf,C); else dS=zeros(length(phi),nw,Nf); end; 0081 for n=1:nw; 0082 t=linspace(tn(n)-movingwin(1)/2,tn(n)+movingwin(1)/2,Nwin); 0083 datawin=extractdatapt(data,[t(1) t(end)]); 0084 [ds,f]=mtdspectrumpt(datawin,phi,params,t); 0085 dS(:,n,:,:)=ds; 0086 end; 0087 sz=size(ds); 0088 dS=squeeze(dS); 0089 % if length(sz)==3; 0090 % dS=permute(dS,[2 1 3 4]); 0091 % elseif length(phi)>1 0092 % dS=permute(dS,[2 1 3]); 0093 % end; 0094 t=tn;

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