octave-communications-common 1.2.0-2 / usr / share / octave / packages / communications-1.2.0 / eyediagram.m

## Copyright (C) 2003 David Bateman
##
## 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} {} eyediagram (@var{x}, @var{n})
## @deftypefnx {Function File} {} eyediagram (@var{x}, @var{n}, @var{per})
## @deftypefnx {Function File} {} eyediagram (@var{x}, @var{n}, @var{per}, @var{off})
## @deftypefnx {Function File} {} eyediagram (@var{x}, @var{n}, @var{per}, @var{off}, @var{str})
## @deftypefnx {Function File} {} eyediagram (@var{x}, @var{n}, @var{per}, @var{off}, @var{str}, @var{h})
## @deftypefnx {Function File} {@var{h} =} eyediagram (@dots{})
##
## Plot the eye-diagram of a signal. The signal @var{x} can be either in one
## of three forms
##
## @table @asis
## @item A real vector
## In this case the signal is assumed to be real and represented by the vector
## @var{x}. A single eye-diagram representing this signal is plotted.
## @item A complex vector
## In this case the in-phase and quadrature components of the signal are
## plotted separately.
## @item A matrix with two columns
## In this case the first column represents the in-phase and the second the
## quadrature components of a complex signal.
## @end table
##
## Each line of the eye-diagram has @var{n} elements and the period is assumed
## to be given by @var{per}. The time axis is then [-@var{per}/2 @var{per}/2].
## By default @var{per} is 1.
##
## By default the signal is assumed to start at -@var{per}/2. This can be
## overridden by the @var{off} variable, which gives the number of samples
## to delay the signal.
##
## The string @var{str} is a plot style string (example "r+"),
## and by default is the default gnuplot line style.
##
## The figure handle to use can be defined by @var{h}. If @var{h} is not
## given, then the next available figure handle is used. The figure handle
## used in returned on @var{hout}.
## @seealso{scatterplot}
## @end deftypefn

function varargout = eyediagram (x, n, _per, _off, str, h)

  if (nargin < 2 || nargin > 6)
    print_usage ();
  endif

  if (isreal (x))
    if (min (size (x)) == 1)
      signal = "real";
      xr = x(:);
    elseif (size (x, 2) == 2)
      signal = "complex";
      xr = x(:,1);
      xi = x(:,2);
    else
      error ("eyediagram: real X must be a vector or a 2-column matrix");
    endif
  else
    signal = "complex";
    if (min (size (x)) != 1)
      error ("eyediagram: complex X must be a vector");
    endif
    xr = real (x(:));
    xi = imag (x(:));
  endif

  if (!length (xr))
    error ("eyediagram: X must not be empty");
  endif

  if (! (isscalar (n) && isreal (n) && n == fix (n) && n > 0))
    error ("eyediagram: N must be a positive integer");
  endif

  if (nargin > 2)
    if (isempty (_per))
      per = 1;
    elseif (isscalar (_per) && isreal (_per))
      per = _per;
    else
      error ("eyediagram: PER must be a real scalar");
    endif
  else
    per = 1;
  endif

  if (nargin > 3)
    if (isempty (_off))
      off = 0;
    elseif (! (isscalar (_off) && isreal (_off) && _off == fix (_off)
               && _off >= 0 && _off < n))
      error ("eyediagram: OFF must be an integer in the range [0,N-1]");
    else
      off = _off;
    endif
  else
    off = 0;
  endif

  if (nargin > 4)
    if (isempty (str))
      fmt = "-";
    elseif (ischar (str))
      fmt = str;
    else
      error ("eyediagram: STR must be a string");
    endif
  else
    fmt = "-";
  endif

  if (nargin > 5)
    if (isempty (h))
      hout = figure ();
    elseif (isfigure (h) && strcmp (get (h, "tag"), "eyediagram"))
      hout = h;
    else
      error ("eyediagram: H must be an eyediagram figure handle");
    endif
  else
    hout = figure ();
  endif
  set (hout, "tag", "eyediagram");
  set (hout, "name", "Eye Diagram");
  set (0, "currentfigure", hout);

  horiz = (per*[0:n]/n - per/2)';
  if (n/2 != fix (n/2))
    horiz = horiz - per / n / 2;
  endif
  lx = length (xr);
  off = mod (off + ceil (n/2), n);
  Nn = ceil ((off + lx) / n);
  post = Nn*n - off - lx;
  xr = reshape ([NaN * ones(off, 1); xr; NaN * ones(post, 1)], n, Nn);
  xr = [xr ; [xr(1,2:end), NaN]];
  xr = [xr; NaN * ones(1, Nn)];
  if (all (isnan (xr(2:end,end))))
    xr(:,end) = [];
    horiz = [repmat(horiz(1:n+1), 1, Nn-1); NaN * ones(1, Nn - 1)](:);
  else
    horiz = [repmat(horiz(1:n+1), 1, Nn); NaN * ones(1, Nn)](:);
  endif

  if (strcmp(signal,"complex"))
    xi = reshape([NaN * ones(off,1); xi; NaN * ones(post, 1)], n, Nn);
    xi = [xi ; [xi(1,2:end), NaN]];
    xi = [xi; NaN * ones(1, Nn)];
    if (all (isnan (xi(2:end,end))))
      xi(:,end) = [];
    endif
  endif

  if (strcmp (signal, "complex"))
    subplot (2, 1, 1);
    plot (horiz, xr(:), fmt);
    xlim ([horiz(1), horiz(end-1)]);
    title ("Eye-diagram for in-phase signal");
    xlabel ("Time");
    ylabel ("Amplitude");
    subplot (2, 1, 2);
    plot (horiz, xi(:), fmt);
    xlim ([horiz(1), horiz(end-1)]);
    title ("Eye-diagram for quadrature signal");
    xlabel ("Time");
    ylabel ("Amplitude");
  else
    plot (horiz, xr(:), fmt);
    xlim ([horiz(1), horiz(end-1)]);
    title ("Eye-diagram for signal");
    xlabel ("Time");
    ylabel ("Amplitude");
  endif

  if (nargout > 0)
    varargout{1} = hout;
  endif

endfunction

%!demo
%! n = 50;
%! ovsp = 50;
%! x = 1:n;
%! xi = [1:1/ovsp:n-0.1];
%! y = randsrc (1, n, [1 + i, 1 - i, -1 - i, -1 + i]);
%! yi = interp1 (x, y, xi);
%! noisy = awgn (yi, 15, "measured");
%! eyediagram (noisy, ovsp);

%% Test input validation
%!error eyediagram ()
%!error eyediagram (1)
%!error eyediagram (1, 2, 3, 4, 5, 6)
%!error eyediagram (1, -1)