% fits significant sine waves to data (continuous data) using overlapping windows.
% Usage: [datac,datafit]=rmlinesmovingwinc(data,movingwin,tau,params,p,plt)
% Note that units of Fs, fpass have to be consistent.
% data (data in [N,C] i.e. time x channels/trials or as a single vector) - 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 - required
% tau parameter controlling degree of smoothing for the amplitudes - we use the
% function 1-1/(1+exp(-tau*(x-Noverlap/2)/Noverlap) in the region of overlap to smooth
% the sinewaves across the overlap region. Noverlap is the number of points
% in the overlap region. Increasing tau leads to greater overlap smoothing,
% typically specifying tau~10 or higher is reasonable. tau=1 gives an almost
% linear smoothing function. tau=100 gives a very steep sigmoidal. The default is tau=10.
% params structure containing parameters - params has the
% following fields: tapers, Fs, fpass, pad
% tapers : precalculated tapers from dpss or in the one of the following
% (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
% (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).
% Fs (sampling frequency) -- optional. Defaults to 1.
% fpass (frequency band to be used in the calculation in the form
% [fmin fmax])- optional.
% Default all frequencies between 0 and Fs/2
% 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.
% p (P-value to calculate error bars for) - optional.
% Defaults to 0.05/Nwin where Nwin is length of window which
% corresponds to a false detect probability of approximately 0.05.
% plt (y/n for plot and no plot respectively) - default no
% f0 frequencies at which you want to remove the
% lines - if unspecified the program uses the f statistic
% to determine appropriate lines.
% datafit (fitted sine waves)
% datac (cleaned up data)
if nargin < 2; error('Need data and window parameters'); end;
if nargin < 4 || isempty(params); 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')
[tapers,pad,Fs,fpass,err,trialave,params]=getparams(params); % set defaults for params
clear err trialave
if nargin < 6; plt='n'; end;
% Window,overlap and frequency information
Nwin=round(Fs*movingwin(1)); % number of samples in window
Nstep=round(movingwin(2)*Fs); % number of samples to step through
Noverlap=Nwin-Nstep; % number of points in overlap
% Sigmoidal smoothing function
if nargin < 3 || isempty(tau); tau=10; end; % smoothing parameter for sigmoidal overlap function
smooth=1./(1+exp(-tau.*(x-Noverlap/2)/Noverlap)); % sigmoidal function
% Start the loop
if nargin < 5 || isempty(p); p=0.05/Nwin; end % default for p value
if nargin < 7 || isempty(f0); f0=; end; % empty set default for f0 - uses F statistics to determine the frequencies
params.tapers=dpsschk(tapers,Nwin,Fs); % check tapers
if n>1; datafitwin(1:Noverlap,:)=smooth.*datafitwin(1:Noverlap,:)+(1-smooth).*datafitwin0(Nwin-Noverlap+1:Nwin,:);end;