HAL Id: hal-01402284
https://hal.archives-ouvertes.fr/hal-01402284
Submitted on 11 May 2020
HAL is a multi-disciplinary open access archive for the deposit and dissemination of sci- entific research documents, whether they are pub-
L’archive ouverte pluridisciplinaire HAL, est destinée au dépôt et à la diffusion de documents scientifiques de niveau recherche, publiés ou non,
A new now complexity DOA estimation algorithm for massive MIMO systems
Yang Xiao, Liu Licheng, Yide Wang
To cite this version:
Yang Xiao, Liu Licheng, Yide Wang. A new now complexity DOA estimation algorithm for mas- sive MIMO systems. IEEE International Conference on Consumer Electronics China, Dec 2016, Guangzhou, China. �10.1109/ICCE-China.2016.7849735�. �hal-01402284�
!
"#$""%&'&(
)
!" #
$"%& ' ('''%%' (' ) $*
( +
%,( ' ' ' ( ' "
!" # # $
!#
* "+,+
.#. .#. /$$+0 *-- . 1 $$+ $$+
2.. - /3%0 1 -. - - . 4 5 - * .
$$+,+ ,+
.*
,+4$%6'7%8"
697-$$+- - :, 5 ; /1#0 9#,.4 1 . .5* ,+
8. $ /8$0 .. -
$6<76(71:,5
* 58$9#,,+
.6=7-.
9#, .4 * ! .. 1 8$9#,.--1.
6&7* . . . 9#, .4 ..5*>1
1.. - . * 5 8$
1 .4 $$+ 6?7 1....*..
6?7 1 8$ $$+
-.5 ..
..5*-1 6?7..1@/'0- .5 - - - A /90
* % .. 1 . .5 . .1 $$+ 1 .*
.. 1*
%9*...
%<*%(1 1%=*
* %%$$+,
$$+ 1 . . .*
#5 #5 1 .B;9 / 10*
.1)*'*%..
# 1- /0 'CC .
* / 01 .*
--1
-B"D. /'0
1"51
-..
151*
51-
/' '0 /9 90 / 0 /90
1/ 0 B' 9 *
%.. 1
#5*/ 0 -
/ 0B
6'E #'
D D #' #'
/#'0D /#'0D/#'07 /<0
11
B /(0 B /=0
* 8"+8+%,$>+,
--!.5
&'--> /&0
.5& 4
&B&// &/0
&0/ &00 /?0
&//&/0 &0/
&00 /F0 /F/#'00 //#'0F0
//#'0F/#'00 .* - 5&0/
51--
--.*%1&0/
1*
$5&0/-1
&0/B'/%"0,%"> /G0 1 , /#'0F 1
15*
1 5% - 1 -# %/ %0 1 F 6/#'0#7F .@
%B%/
%0 /H0
4 ..-% 1% .*
%/%04
%0B%%/>%/ /'I0 ,,% 1
,%B,%/
,%0 /''0
1 ,%/ ,%0 F /#0F .*
%.-1
,%0B%%0>,%/ /'90
1%%/ %%0 1...*
,11
&0/B&0/ &0/' /'<0
&0/B&0/
&0/ /'(0
1
&0/ #'F&0/'/#'0F/#0
&0/F&0/6 #'#7F
1 .. - - -
%%/B/&0/&0/D 0> /'=0 %%0B&0/D &0/' /'&0 1 /0D .
%%/B/&0///&0/> &0/0#'&0/> 00> /'?0 %%0B/&0/> &0/0#'&0/> &0/' /'G0
)*'*%$
)*9*.5.1,- /9II0
3 1 .. 1 1
%#/ %#0 1 #'F F
.4
%%#/B%1%/> /'H0
%%#0B%1%0> /9I0 -
%%#/%/B 1%/
%%/>%/B%/
%0B% /9'0
%%#0,%/B 1,%/
%%0>,%/B,%/
,%0B,% /990
,5%%#/ 1-#%%#//
%%#/0 . - F/#90 1 F/#90 1 %%#/.* % % %' . F/#90 1 F/#90 15% .*3 1%%#0/ %%#00 .#' 1 #' 1 %%#/ ,% ,%' . #' 1 #' 1 ,%*
%%#//
%%#/0%/B%
%'B %
%/ /9<0 %%#0/
%%#00,%/B,%
,%'B ,%
,%0 /9(0
1
/B6'9E7 /9=0
0B6'9E7 /9&0
-1*
-
%%#//D %%#/0B%//%/#' /9?0 %%#0/D %%#00B,%/0,%/#' /9G0 -/0 - - - . . 1 %%#//D %%#/0 %%#0/D %%#00. 1-
B//0/9H0 B0/0
/<I0 1 - 1 . . . . . * , . ..6G76H7*,+
--
B/0 /<'0 B/
'#/090 /<90 :* %$ +, %%
% .
1
1 * .. # .-.*J . .5 ..
11@
-#5 EEEEEEEEE**EE***EE**//#'090A
! 8 5 8. 1 5 EEEEEE**********************/<D99D6/#'0#70A
" 8 5 8. 1 5 EEEEE**EE*E*/<D9/#'09D/#'0/#00A
# +- 1 /9?0 /9G0
*****************************************/<9/#90D<9/#'0D(90A
5-.
. .. 1 . .5* )*9 1 .5 . 6?7 ..
1B<*
) . " $ %2 /"$%01
"$%B' &B' $'$'B'/%& '#%&09 /<<0 1 - $ -
$ *B< $B=II 1 - BB<I*
%& ' &
& '$*
. . %"
-111)*<)*(*
- . 5 - - - .. "$% 1 K* >1 . 5 . 1*
:* + %+
.. 1 1 .5 ,+
$$+..- 8. $* 4 . 5 ..
.. 2
---*1
..5-.
* % -111. .5 .
* L+! , $
. -..1
*
")"%
6'7% "* +* /'HG&0* $. .
* M 8. <(/<0 9?	GI*
697""*ML*/'HGH0*.#.
2*%.M%8<?/?0HG(#HH=*
6<7$%*$*M3$*/'HH=0*..
-*%8(9/90'9'#'<G*
6(7$%*M3$*/'HHI0*+.
#- ..*
*=9H==#9H=G*
6=7 8*3*M%N*/'HH=0*11#
. 41 * % 8 (?/<0<'H#<9?*
6&7! * * M % >* * /9II<0* 9#
##*%8G</G0'G9?#'G<'*
6?7 *!!*MO*/9I'=0* 1#.5,+
9,$ $$+ %*
$*
6G7,**,**N*MO *P*/9I'&0*.
9# #. 1 .*
M!8. '='&&H#'&?9*
6H7L4 %* J >* M % * /9II?0* 8#
9# 1 # 5*
M!8. =/'0<=#(I*
)*<*8
)*(*8