СИСТЕМА ОБРАБОТКИ ПРИНИМАЕМЫХ СШП СИГНАЛОВ

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107078, .
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, . 16
immoreev@uwbgroup.ru, samkov@uwbgroup.ru
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(
–
)
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In the paper, the methods of signal processing with reference to Ultra-Wide Band (UWB) radars designed for
detection and remote measuring parameters of moving objects at short ranges (tens of centimeters - several
meters) are considered.
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1
1
100
300
,
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,
,
(
1
100
(
1
1
10)
100
).
.
,
)
0.005
1
.
.
,
.
.
.
,
ϕ1 = 2πf 0t − ϕ 0 ,
f0 –
ϕ0 –
(1)
;
.
,
.
:
ϕ 2 (t ) = ϕ1 (t ) − 2π ⋅ f 0 ×
2[Rmax sin (2π ⋅ Fc t ) + R0 ]
−θ ,
V
(2)
Rmax –
R0 –
V–
Fc –
θ–
,
;
;
;
;
.
(3)
2[Rmax sin (2π ⋅ Fc t ) + R0 ]
ϕ1 (t ) − ϕ 2 (t ) = 2π ⋅ f 0 ×
+θ ,
V
(3)
,
,
,
,
.
. 1.
.1–
,
U1.
.
,
,
θ
,
(
Z2
Z1
).
1
.
(
,
)
(3).
,
.
.
:
s (t ) = E s ⋅ e
τs –
−2
t2
τs
,
(4)
Es –
;
0.606
.
,
W =
s(t)
u(t) –
–
:
∞
1
u (t ) ⋅ s (t )dt ,
R −∫∞
(5)
;
,
.
,
R–
,
,
,
,
.
:
t
t2
E E

Em Es  − 2τ 2 −2τ s
t 
W=
e
⋅e
⋅ sin 2π  dt = = m s
∫


R −∞
R
 Ts  

2
∞
Ts –
τ–
τs –
Em, Es –
,
  − 2⋅(τ 2 +τ s2 ) t  2 
 τ ⋅τ  
 

t
 s 
⋅ sin 2π
∫−∞ e 
 Ts

;
∞


  dt =0 ,


(6)
;
;
;
,
Z2,
.
(6).
(
),
U1
.
,
,
90°.
(
)
(
.1)
:
∞
E E
1
W = ∫ u (t ) ⋅ s(t )dt = m s
R −∞
R
 − 2 t 22 − 2 t

 e τ ⋅ e τ s ⋅ cos  2π t  dt =
∫
 T 

s 
−∞


2
∞
  −2⋅(τ 2 +τ s2 ) t  2 

 τ ⋅τ  

E m E s  
t 
 s 
=
⋅ cos 2π  dt
e
R −∫∞
 Ts  


:
∞

(π ⋅τ s ⋅τ )2
(7)

E E τ τ 2π −  2(τ 2 +τ s2 )Ts2  ,
W= m s⋅ s
⋅e
2R
τ 2 + τ s2
(8)
. 2.
.2–
(τs)
Em = 1; Es = 1; τ = 5.38; Ts = 2,5; R = 50
.
,
,
.
(8) ,
.
= −τ 3 2π ⋅
,
τs
,
′
 (π ⋅τ s ⋅τ )2 

−

2
2
2
E E τ τ 2π
2 (τ +τ s )Ts  
=
W′ =  m s ⋅ s
⋅ e 
2
2
 2R

τ +τ s


[
]
2
2
2

E m E s (π ⋅ τ sτ ) − (Tsτ s ) − (Tsτ )
(π ⋅ τ sτ )2 
⋅
×
−
=0
exp

5 2
2
2
2 
2R
Ts2 τ 2 + τ s2
 2Ts τ + τ s 
(
τ smax = ±Tsτ
τ–
ω0 –
)
(πτ )2 − Ts2
2
Ts2 − (πτ )
(
τ smax = ±2
)
τ
(ω 0τ )2 − 4
,
(9)
;
,
.
(9)
,
–
(
.
),
,
,
(
)
,
.
,
.
(8),
,
.


 (ω ⋅ τ ⋅ τ )2 


E s ⋅ τ s ⋅ exp  − 0 2 s 2 


 Wout 
 8 τ + τ s 
 = 10 log 2 2
γ [ dB] = 10 log

2
  ω τ   

 Wtotal 
2
2
0
E m τ + τ s ⋅ exp − 
  − 1 

   2    

(
)
(10)
.3
.3–
(
),
(Em=1; Es=1; R:=50: τ=5.38; ω0=2.51)
(Em=1; Es=1; R:=50: τ=5.38;
,
ω0=2.51)
(10)
-5.95
.
1.
,
,
,
,
,
(
).
,
.
2.
,
,
(9).
[1]
.,
.,
,
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,
,
[2]
.,
:
’2003
», 2003 .
, .
, 1962 .