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| Original file line number | Diff line number | Diff line change |
|---|---|---|
| @@ -0,0 +1,111 @@ | ||
| function Y = pspm_interp1(varargin) | ||
| % ● Description | ||
| % pspm_interp1 is a shared PsPM function for interpolating data with NaNs | ||
| % based on the reference of missing epochs and first order interpolation. | ||
| % ● Format | ||
| % Y = pspm_interp1(varargin) | ||
| % ● Arguments | ||
| % X: data that contains NaNs to be interpolated | ||
| % index_missing: index of missing epochs with the same size of X in binary | ||
| % values. 1 if NaNs, 0 if non-NaNs. | ||
| % Y: processed data | ||
| % ● History | ||
| % Introduced in PsPM 6.1 | ||
| % Written in 2023 by Teddy Chao (UCL) | ||
|
|
||
| %% 1 Load inputs | ||
| switch nargin | ||
| case 1 | ||
| X = varargin{1}; | ||
| index_missing = zeros(size(X)); | ||
| case 2 | ||
| X = varargin{1}; | ||
| index_missing = varargin{2}; | ||
| otherwise | ||
| warning('ID:invalid_input','pspm_interp1 accepts up to two arguments'); | ||
| end | ||
| %% 2 Check inputs | ||
| switch sum(~isnan(X)) | ||
| case 0 | ||
| % if there are no non-nans, do not process any interpolation, give a | ||
| % warning and return | ||
| warning('ID:invalid_input',... | ||
| 'Input data contains only NaNs thus cannot be interpolated.') | ||
| Y = X; | ||
| return | ||
| case 1 | ||
| % if there are only 1 non-nan, do not process any interpolation, | ||
| % give a warning and explain the reason | ||
| warning('ID:invalid_input',... | ||
| 'Input data contains only 1 non-NaN thus cannot be interpolated.') | ||
| Y = X; | ||
| return | ||
| otherwise | ||
| % if there are less than 10^ non-nan, still perform interpolation, | ||
| % however give a warning and explain the reason | ||
| non_nan_percentage = sum(~isnan(X))/length(X); | ||
| if non_nan_percentage<0.1 | ||
| warning('ID:invalid_input',... | ||
| 'Input data contains less than 10% non-NaN. Interpolation can ',... | ||
| 'still be performed but results could be inaccurate.') | ||
| end | ||
| end | ||
| %% 3 find nan head and tail | ||
| X_nan_head = 0; | ||
| X_nan_tail = 0; | ||
| X_nan_head_range = []; | ||
| X_nan_tail_range = []; | ||
| X_nan_head_interp = []; | ||
| X_nan_tail_interp = []; | ||
| index_non_nan_full = 1:length(X); | ||
| index_non_nan_full = index_non_nan_full(~isnan(X)); | ||
| if index_non_nan_full(1) > 1 | ||
| X_nan_head = 1; | ||
| X_nan_head_range = 1:(index_non_nan_full(1)-1); | ||
| end | ||
| if index_non_nan_full(end) < length(X) | ||
| X_nan_tail = 1; | ||
| X_nan_tail_range = (index_non_nan_full(end)+1):length(X); | ||
| end | ||
| X_body = X(index_non_nan_full(1):index_non_nan_full(end)); | ||
| % processing body | ||
| index = 1:length(X_body); | ||
| index_nan = index(isnan(X_body) | index_missing(index_non_nan_full(1):index_non_nan_full(end))) ; | ||
| index_non_nan = 1 - index_nan; | ||
| if ~isempty(index_nan) | ||
| X_body_interp = interp1(index_non_nan,X_body(index_non_nan),index_nan); | ||
| else | ||
| X_body_interp = X_body; | ||
| end | ||
| % interpolate head | ||
| if X_nan_head | ||
| X_nan_head_interp = interp1(... | ||
| (1:length(X_body_interp))+length(X_nan_head_range),... | ||
| X_body_interp,... | ||
| X_nan_head_range,'linear','extrap'); | ||
| end | ||
| % interpolate tail | ||
| if X_nan_tail | ||
| X_nan_tail_interp = interp1(... | ||
| (1:length(X_body_interp))+length(X_nan_head_range),... | ||
| X_body_interp,... | ||
| X_nan_tail_range,'linear','extrap'); | ||
| end | ||
| if iscolumn(X_body_interp) | ||
| if ~iscolumn(X_nan_head_interp) | ||
| X_nan_head_interp = transpose(X_nan_head_interp); | ||
| end | ||
| if ~iscolumn(X_nan_tail_interp) | ||
| X_nan_tail_interp = transpose(X_nan_tail_interp); | ||
| end | ||
| Y = [X_nan_head_interp; X_body_interp; X_nan_tail_interp]; | ||
| else | ||
| if iscolumn(X_nan_head_interp) | ||
| X_nan_head_interp = transpose(X_nan_head_interp); | ||
| end | ||
| if iscolumn(X_nan_tail_interp) | ||
| X_nan_tail_interp = transpose(X_nan_tail_interp); | ||
| end | ||
| Y = [X_nan_head_interp, X_body_interp, X_nan_tail_interp]; | ||
| end | ||
| return |
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