參數(shù)資料
型號： SA1630
廠商： NXP Semiconductors N.V.
英文描述： IF Quadrature Transceiver(IF正交收發(fā)器)
中文描述： 中頻正交收發(fā)器（中頻正交收發(fā)器）
文件頁數(shù)： 25/36頁
文件大小： 477K
代理商： SA1630
Philips Semiconductors
Application note
AN2003
SA1630 IF transceiver demonstration board
1999 Jan 05
25
Transmit output equations
The transmit output is simply the I mixer output summed with the Q mixer output. Combining Equations (31) and (36) gives:
Tx output
= 2A I(0) sin
ω
c
t + 2B I(0) cos
ω
c
t + A I cos
ω
l
t – A I cos
ω
h
t
+ B I sin
ω
h
t – B I sin
ω
l
t + G Q(0) cos
ω
c
t +
1
/
2
G Q cos
ω
l
t
+
1
/
2
G Q cos
ω
h
t
From this equation we can group the terms by frequency. There are three different frequencies: the upper sideband
ω
h
; the lower sideband
ω
l
;
and the carrier frequency
ω
c
.
(37)
Tx output = Carrier (C) + upper sideband (USB) + lower sideband (LSB)
(38)
C = 2A I(0) sin
ω
c
t + 2B I(0) cos
ω
c
t + G Q(0) cos
ω
c
t
USB = – A I cos
ω
h
t + B I sin
ω
h
t +
1
/
2
G Q cos
ω
h
t
LSB = A I cos
ω
l
t – B I sin
ω
l
t +
1
/
2
G Q cos
ω
l
t
(39)
(40)
(41)
Where again A and B are the factors which incorporate the gain and phase error and are defined as:
A =
1
/
2
GG
e
cos
Θ
B =
1
/
2
GG
e
sin
Θ
ω
h
=
ω
c
+
ω
bb
ω
l
=
ω
c
–
ω
bb
(42)
(43)
(44)
(45)
Ideal case
In order to gain some insight into how this Tx modulation scheme provides the required single-sideband suppressed carrier output signal, let’s
first take a look at the Tx output equations under ideal conditions.
Let’s assume the following:
G
e
= 1 (channel mixer gains and baseband input signal amplitudes are perfectly matched)
Θ
= 0 (there is no quadrature phase error)
(46)
(47)
I(0) = Q(0) = 0 (there is no input offset error)
(48)
I = Q = M (the baseband input signal amplitudes are equal)
(49)
Substituting Equations (46) and (47) into Equations (42) and (43) gives:
A =
1
/
2
G * 1 * cos 0 =
1
/
2
G
B =
1
/
2
G * 1 * sin 0 = 0
(50)
(51)
Substituting Equation (48) into Equation (39) gives:
C = 0 + 0 + 0 = 0
(52)
Substituting Equations (49), (50), and (51) into equation (40) gives:
USB = –
1
/
2
G M cos
ω
h
t + 0 +
1
/
2
G M cos
ω
h
t = 0
(53)
Substituting Equations (49), (50), and (51) into equation (41) gives:
LSB = +
1
/
2
G M cos
ω
l
t – 0 +
1
/
2
G M cos
ω
l
t = G M cos
ω
l
t
(54)
Equations (52), (53), and (54) suggest that under “ideal” conditions, the resulting transmit output signal contains the single lower sideband
signal with a magnitude equal to the magnitude of the ac input signal times the mixer gain. They also show that the carrier and upper sideband
signals are completely suppressed!
相關(guān)PDF資料
PDF描述
SA1638 Low voltage IF I/Q transceiver
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