function[BQRT]?=?LLL（Adelta）
%?==============================================================================
%?Function:??LLL?reduction?of?complex?valued?input?matrix?A?with?LLL?
%????????????parameter?delta
%
%?Interface:?[BQRT]?=?LLL（Adelta）
%
%?Input:?????A?????:?input?basis
%????????????delta?:?LLL?reduction?parameter
%
%?Output:????B?:?LLL-reduced?basis?B?=?A*T?with?QR?decomposition?B=Q*R
%????????????Q?:?matrix?with?orthogonal?columns?of?length?one
%????????????R?:?upper?triangular?matrix
%????????????T?:?unimodular?transformation?matrix
%
%?Sources:???D.?Wuebben?R.?Boehnke?V.?Kuehn?and?K.-D.?Kammeyer:
%????????????MMSE-based?Lattice-Reduction?for?Near-ML?Detection?of?MIMO?Systems
%????????????International?ITG/IEEE?Workshop?on?Smart?Antennas?（WSA?2004）?
%????????????Munich?Germany?March?2004
%
%????????????D?Wuebben?D.?Seethaler?J.?Jald巈n?and?G.?Matz:
%????????????Lattice?Reduction?-?A?Survey?with?Applications?in
%????????????Wireless?Communications
%????????????IEEE?Signal?Processing?Magazine?March?2011
%
%?==============================================================================
%?Author:????Dirk?Wuebben?（University?of?Bremen?Bremen?Germany）
%?EMail:?????wuebben@ant.uni-bremen.de
%?www:???????www.ant.uni-bremen.de/staff/wuebben
%?==============================================================================

%?Input?data
%?-------------------------------------------------------------------
if?nargin?<2???????????????????????????%?delta?not?specified
???fprintf（‘\nLLL?parameter?delta?not?specified!‘）;
???fprintf（‘\nDefault?value?delta?=?3/4?is?used.\n‘）;
???delta?=?3/4;
elseif?delta?>?1?|?delta????fprintf（‘\nInvalid?input?value?for?LLL?prameter?delta!‘）;
???f