hpfilter.m

function H = hpfilter(type, M, N, D0, n)
%HPFILTER Computes frequency domain highpass filters
%   H = HPFILTER(TYPE, M, N, D0, n) creates the transfer function of
%   a highpass filter, H, of the specified TYPE and size (M-by-N).
%   Valid values for TYPE, D0, and n are:
%
%   'ideal'     Ideal highpass filter with cutoff frequency D0.  n
%               need not be supplied.  D0 must be positive
%
%   'btw'       Butterworth highpass filter of order n, and cutoff D0.
%               The default value for n is 1.0.  D0 must be positive.
%
%   'gaussian'  Gaussian highpass filter with cutoff (standard deviation)
%               D0.  n need not be supplied.  D0 must be positive.
% 

% The transfer function Hhp of a highpass filter is 1 - Hlp,
% where Hlp is the transfer function of the corresponding lowpass
% filter.  Thus, we can use function lpfilter to generate highpass
% filters.

if nargin == 4
   n = 1; % Default value of n.
end

% Generate highpass filter.
Hlp = lpfilter(type, M, N, D0, n);
H = 1 - Hlp;