statistical multipathmodel time varying impulse response
TRANSCRIPT
4
! ! 2
≈ τ !
3
0 % !4)
- (! δ
ℜ=
=
)(
0
)(2 )()()(tN
n
tjn
tfj nc etetutr φπ α
""##$% $%
.+ /
5
2 /2
6 . 7 8 9 )
(! )
.φ φ :+( )
2
; 2 2 2
( )
0
( ) ( )cos( ( ))N t
I n nn
r t t tα φ=
=( )
0
( ) ( ) sin( ( ))N t
Q n nn
r t t tα φ=
=
5
% %
2φ<= >?$π@
θ
= +
. !
% % 2φ<= >?$π@
θ
2 :+
-- :+
2
λθτπττ θ /cos],2[cos5.)()( nDDprr vffEAAnnnQI
=Ω==
)(]2[sin5.)( ,, ττπτ θ QInnQI rrDprr AfEA −=Ω=
)2sin()()2cos()()( , τπττπττ crrcrr fAfAAQII
−=
)(]2[sin5.)( ,, ττπτ θ QInnQI rrDprr AfEA −=Ω=
)2sin()()2cos()()( , τπττπττ crrcrr fAfAAQII
−=
=0
6
& & %'%%'% = +
1
)2(5.)()( 0 τπττ Dprr fJAAQI
Ω==
Decorrelates over roughly half a wavelength
)]2(5[.)(
)]()([5.)(
0 τπ Dpr
crcrr
fJfS
ffSffSfS
I
II
Ω=
++−=
F
Used to generate simulation values fc+fDfc
Sr(f)
fc-fD
() ()
A
10
%)* %)*
!! !!)
! )
!! !
; 4%
!
!+! !
! )
; !+!
! 4)
" " 3 ! +)(
9
2 2 2
= 4 + A
- ( :+ )
6 ! 34
2
13
" " 2τ∆E? E2τ 20 στ
2τ 2% % ))
-! AE#:0
0% + 2∆ E6>2τ @J? 2∆ E? +! !
τ
ττττTM
∆
∆∆∆∆BC
F
" "
2 "τ
2
3
#
14
(, (, 5 $ !!σ % !..)
6 $ σ# $σ##? !!σ !σ
6+- 6
+ "%K& ' ?K& ! )
6 +
Frequency correlation function
* " * " ρ E6>2τ=0∆ @E6>2∆ @
A
0%
ρ ≥?)
- E#:A 0% 2∆ J?
2∆ E?
!∆ !
∆
∆∆∆∆TC
ρ
ρρρρBD
F
15
5 ( !
- 6 "%K % ()
% )
)-* /
% * )%* ( !)
A6 ! "-K )-* ' #). + , +- E&)
!
.
Tc
Channel appears static for transmitted digital symbols