參數(shù)資料
型號(hào)： 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(yè)數(shù)： 26/36頁(yè)
文件大小： 477K
代理商： SA1630
Philips Semiconductors
Application note
AN2003
SA1630 IF transceiver demonstration board
1999 Jan 05
26
OBTAINING INSIGHT BY CONSIDERING AMPLITUDE AND PHASE ERRORS SEPARATELY
Mixer gain mismatch and/or baseband input signal amplitude mismatch error only
First, it should be noted in the transmit output Equations (39), (40), and (41) that the baseband input signal amplitudes I and Q are always
multiplied by the mixer gain G. Therefore, the amplitude mismatch error ratio term G
e
represents not only just the mixer gain mismatch error, but
the combination of mixer gain mismatch error and baseband input signal amplitude mismatch error.
To gain some further insight into the effect of mixer gain mismatch and/or baseband input signal amplitude mismatch error on the transmit output
signal, let’s again rewrite the transmit output equations without assuming that this error term is ideal. Let’s now assume the following:
G
e
not = 1
(channel mixer gains are
NOT
perfectly matched)
Θ
= 0 (there is no quadrature phase error)
(55)
(56)
I(0) = Q(0) = 0 (there is no input offset error)
(57)
I = Q = M (the baseband input signal amplitudes are equal
(58)
Substituting Equations (55) and (56) into Equations (42) and (43) yields:
A =
1
/
2
G G
e
cos 0 =
1
/
2
G G
e
B =
1
/
2
G G
e
sin 0 = 0
(59)
(60)
Substituting Equations (57), (58), (59) and (60) into Equations (39), (40), and (41) gives:
C = 0 + 0 + 0 = 0
(61)
USB = –
1
/
2
G G
e
M cos
ω
h
t + 0 +
1
/
2
G M cos
ω
h
t =
1
/
2
G M (1–G
e
) cos
ω
h
t
LSB =
1
/
2
G G
e
M cos
ω
l
t – 0 +
1
/
2
G M cos
ω
l
t =
1
/
2
G M (1+G
e
) cos
ω
l
t
(62)
(63)
Equation (61) shows that if baseband input signal amplitude and/or mixer gain mismatch are the only errors in the system, the carrier
suppression performance is unaffected.
Equations (62) and (63) show that if the amplitude mismatch error ratio is significantly less than 1, then the USB signal will no longer be
completely cancelled, and the LSB signal amplitude will be significantly less than G M.
Let’s now relate these equations to the datasheet specifications.
Sideband Suppression(SBS)
20logmag(LSB)
(64)
mag (USB) =
1
/
2
G M (1–G
e
)
mag (LSB) =
1
/
2
G M (1+G
e
)
(65)
(66)
Substituting Equations (65) and (66) into Equation (64) gives:
SBS
20log(1
G
e
)
G
e
)
(67)
Solving Equation (67) for G
e
as a function of SBS yields:
G
e
(1
(1
K)
K)
where K = 10
(SBS/20)
(68)
The SA1630 datasheet specifies that the minimum sideband suppression is –35dB. Substituting this into Equation (68) gives a maximum
amplitude mismatch error ratio of 0.965, which says that the combined baseband amplitude mismatch and mixer gain mismatch error must be
less than
20 log G
e
= 20 log 0.965 = 0.3 dB
(69)
assuming there are no other errors in the system. Practically speaking, phase error is also a significant source of error that affects SBS
performance, and therefore the amplitude mismatch error requirement is much more stringent than indicated here.
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