fxquant.m

function X = fxquant( s, bit, rmode, lmode )
%FXQUANT      simulated fixed-point arithmetic
%-------
%   Usage:  X = fxquant( S, BIT, RMODE, LMODE )
%
%       returns the input signal S reduced to a word-length
%       of BIT bits and limited to the range [-1,1). The type of
%       word-length reduction and limitation may be chosen with
%       RMODE:  'round'         rounding to nearest level
%               'trunc'         2's complement truncation
%               'magn'          magnitude truncation
%       LMODE:  'sat'           saturation limiter
%               'overfl'        2's complement overflow
%               'triang'        triangle limiter
%               'none'          no limiter

%---------------------------------------------------------------
% copyright 1994, by C.S. Burrus, J.H. McClellan, A.V. Oppenheim,
% T.W. Parks, R.W. Schafer, & H.W. Schussler.  For use with the book
% "Computer-Based Exercises for Signal Processing Using MATLAB"
% (Prentice-Hall, 1994).
%---------------------------------------------------------------

if nargin ~= 4;
        error('usage: fxquant( S, BIT, RMODE, LMODE ).');
end;
if bit <= 0 | abs(rem(bit,1)) > eps;
        error('wordlength must be positive integer.');
end;

Plus1 = 2^(bit-1);

X = s * Plus1;
if     strcmp(rmode, 'round');          X = round(X);
elseif strcmp(rmode, 'trunc');          X = floor(X);
elseif strcmp(rmode, 'ceil');           X = ceil(X);
elseif strcmp(rmode, 'magn');           X = fix(X);
else            error('unknown wordlength reduction spec.');
end;

if     strcmp(lmode, 'sat');
        X = min(Plus1 - 1,X);
        X = max(-Plus1,X);
elseif strcmp(lmode, 'overfl');
        X = X + Plus1 * ( 1 - 2*floor((min(min(X),0))/2/Plus1) );
        X = rem(X,2*Plus1) - Plus1;
elseif strcmp(lmode, 'triang');
        X = X + Plus1 * ( 1 - 2*floor((min(min(X),0))/2/Plus1) );
        X = rem(X,4*Plus1) - Plus1;
        f = find(X > Plus1);
        X(f) = 2*Plus1 - X(f);
        f = find(X == Plus1);
        X(f) = X(f) - 1;
elseif strcmp(lmode, 'none');           %  limiter switched off
else    error('unknown limiter spec.');
end;

X = X / Plus1;