%FFTNPAD Pad an fft ordered array.
% B = FFTNPAD(A) pads an array A such that size(B) == 2*size(A).
%
% B = FFTNPAD(A,PADSIZE) pads an array A with PADSIZE(k) zeros along the
% k-th dimension of A.
%
% B = FFTNPAD(A,PADSIZE,PADVAL) pads array A with PADVAL (a scalar)
% instead of with zeros.
%
% If the dimensions specified in PADSIZE are smaller than the initial
% dimensions of the signal it us un-padded.
%
%See also: FFTSPACE
% $Author: graceej $ $Date: 2009/10/24 11:08:05 $
% $Revision: 1.4 $
% Copyright (c) 2009, Edward J. Grace
% All rights reserved.
% Redistribution and use in source and binary forms, with or
% without modification, are permitted provided that the following
% conditions are met:
% * Redistributions of source code must retain the above
% copyright notice, this list of conditions and the following
% disclaimer.
% * Redistributions in binary form must reproduce the above
% copyright notice, this list of conditions and the following
% disclaimer in the documentation and/or other materials
% provided with the distribution.
% * Neither the name of the Imperial College London nor the
% names of its contributors may be used to endorse or
% promote products derived this software without specific
% prior written permission.
% THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND
% CONTRIBUTORS "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES,
% INCLUDING, BUT NOT LIMITED TO, THE IMPLIED WARRANTIES OF
% MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ARE
% DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT HOLDER OR CONTRIBUTORS
% BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL,
% EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED
% TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE,
% DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON
% ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR
% TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF
% THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF
% SUCH DAMAGE.
function B=fftnpad(A,varargin)
%% Manage arguments.
if nargin < 2
PADSIZE=size(A)*2;
else
PADSIZE=varargin{1};
end
if nargin < 3
VALUE=0;
else
VALUE=varargin{2};
end
SZ1=size(A);
ND=numel(SZ1);
%% Determine if padding or truncation is required for each dimension.
pad = zeros(ND,1);
for d=1:ND
if PADSIZE(d) > SZ1(d)
pad(d) = 1;
else
pad(d) = 0;
end
end
% Setup output array.
B = ones(PADSIZE)*VALUE;
% Swap source and target depending if we are padding or unpadding.
for d=1:ND
if ~pad(d)
tmp=SZ1(d); SZ1(d) = PADSIZE(d); PADSIZE(d) = tmp;
end
end
%% Determine source and target ranges for each dimension.
for d=1:ND
InHalf=floor(SZ1(d)/2);
Offset = mod(SZ1(d),2);
% Determine source and target ranges for M
src{d} = [1:(InHalf+Offset) (InHalf+Offset+1):SZ1(d)];
tgt{d} = [1:(InHalf+Offset) (PADSIZE(d)-InHalf+1):PADSIZE(d)];
% If we are unpadding, swap the source and target ranges.
if ~pad(d)
tmp=src{d}; src{d}=tgt{d}; tgt{d}=tmp;
end
end
%% Assign source to target using cell {:} notation of indices (see fftshift)
B(tgt{:}) = A(src{:});
%% Log of changes
%
% $Log: fftnpad.m,v $
% Revision 1.4 2009/10/24 11:08:05 graceej
% * Modified license to make use of the current BSD style open source initiative license.
%
% Revision 1.3 2009/05/06 20:09:45 graceej
% * Updated make package target to include distribution of the license file and README.
%
% Revision 1.2 2009/05/06 17:57:10 graceej
% * Added CVS Revision information.
%
% Revision 1.1 2009/04/17 11:42:32 graceej
% * Brought over auto_checking/BPC-LIB tag=end and checked in.
% * This old repository is now defunct.
%
% Revision 1.2 2009/04/17 11:37:25 graceej
% * Wholescale modification of the entire library.
%
% Revision 1.1.2.1 2008/09/16 11:28:29 graceej
% * Name change from fftpadn.
%
% Revision 1.1.2.1 2008/09/05 20:38:57 graceej
% * Initial checkin of fftnpad. It appears to work as advertised.
%
%