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## Copyright (C) 2006 Charalampos C. Tsimenidis
##
## This program is free software; you can redistribute it and/or modify it under
## the terms of the GNU General Public License as published by the Free Software
## Foundation; either version 3 of the License, or (at your option) any later
## version.
##
## This program is distributed in the hope that it will be useful, but WITHOUT
## ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
## FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License for more
## details.
##
## You should have received a copy of the GNU General Public License along with
## this program; if not, see <http://www.gnu.org/licenses/>.
## -*- texinfo -*-
## @deftypefn {Function File} {@var{y} =} pammod (@var{x}, @var{m})
## @deftypefnx {Function File} {@var{y} =} pammod (@var{x}, @var{m}, @var{phi})
## @deftypefnx {Function File} {@var{y} =} pammod (@var{x}, @var{m}, @var{phi}, @var{type})
##
## Modulates an information sequence of integers @var{x} in the range
## @code{[0 @dots{} M-1]} onto a pulse amplitude modulated signal @var{y}.
## @var{phi} controls the initial phase and @var{type} controls the
## constellation mapping. If @var{type} is set to "Bin" will result in
## binary encoding, in contrast, if set to "Gray" will give Gray encoding.
## An example of Gray-encoded 8-PAM is
##
## @example
## @group
## d = randint (1, 1e4, 8);
## y = pammod (d, 8, 0, "gray");
## z = awgn (y, 20);
## plot (z, "rx")
## @end group
## @end example
## @seealso{pamdemod}
## @end deftypefn
function y = pammod (x, M, phi, type)
if nargin < 2
print_usage ();
endif
m = 0:M-1;
if ~isempty (find (ismember (x, m) == 0))
error ("x elements should be integers in the set [0, M-1].");
endif
if nargin < 3
phi = 0;
endif
if nargin < 4
type = "Bin";
endif
constellation = [-M+1:2:M-1] .* exp (-1j*phi);
if (strcmp (type, "Bin")||strcmp (type, "bin"))
y = constellation(x+1);
elseif (strcmp (type, "Gray")||strcmp (type, "gray"))
[a, b] = sort (bitxor (m, bitshift (m, -1)));
y = constellation(b(x+1));
else
print_usage ();
endif
if (iscomplex (y) && all (imag (y(:)) == 0))
y = real (y);
endif
endfunction
%!assert (round (pammod ([0:7], 8, 0, "Bin")), [-7:2:7])
%!assert (round (pammod ([0:7], 8, 0, "Gray")), [-7 -5 -1 -3 7 5 1 3])