US 8,948,703 B2Granted

Evaluation device and method for providing a transceiver system with performance information thereof

AssigneeI-Shou University

InventorsChing-Tai Chiang, Rong-Ching Wu, Chen-Sen Ouyang, Jong-Ian Tsai

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Abstract

An evaluation device is adapted for providing a transceiver system with performance information thereof. The transceiver system models a channel between a transmitter and a receiver thereof using Nakagami distribution with a fading parameter. The evaluation device includes a signal-to-noise ratio (SNR) computing module, a capacity computing module, and an output module. The SNR computing module is operable to set an average SNR for the channel between the transmitter and the receiver, and to compute an expected value and variance of an effective SNR of the transceiver system according to the fading parameter and the average SNR. The capacity computing module is operable to compute an outage capacity of the transceiver system based upon the expected value and the variance of the effective SNR and a transmission outage parameter. The output module is operable to provide the transceiver system with the average SNR and the outage capacity.

Claims12

Dependent claims

An evaluation device adapted for providing a transceiver system with performance information thereof, the transceiver system including a transmitter and a receiver, and modeling a channel between the transmitter and the receiver using Nakagami distribution with a fading parameter, the transmitter including a number LT of transmit antennas, the receiver including a number LR of receive antennas, said evaluation device comprising:

a signal-to-noise ratio (SNR) computing module operable to set an average SNR for the channel between the transmitter and the receiver of the transceiver system, and to compute an expected value and variance of an effective SNR of the transceiver system based upon the fading parameter, the average SNR, the number of the transmit antennas, and the number of the receive antennas;
a capacity computing module operable to compute an outage capacity of the transceiver system based upon the expected value and the variance of the effective SNR and a transmission outage parameter associated with a guaranteed transmission rate;
and
an output module operable to provide the transceiver system with the average SNR and the outage capacity as the performance information of the transceiver system;
wherein, when the fading parameter m is greater than or equal to ½, said SNR computing module is operable to compute the expected value μQ and the variance σQ2 of the effective SNR based upon
μ
Q
=
(
Q
_
/
m
)
[
Γ
⁡
(
mL
R
)
]
L
T
⁢
∑
n
=
0
∞
⁢
α
n
⁢
Γ
⁡
(
mL
R
⁢
L
T
+
n
+
1
)
L
T
mL
R
⁢
L
T
+
n
,
and
σ
Q
2
=
(
Q
_
/
m
)
2
[
Γ
⁡
(
mL
R
)
]
L
T
⁢
∑
n
=
0
∞
⁢
α
n
⁢
Γ
⁡
(
n
+
mL
R
⁢
L
T
+
2
)
L
T
n
+
mL
R
⁢
L
T
+
1
-
[
(
Q
_
/
m
)
[
Γ
⁡
(
mL
R
)
]
L
T
⁢
∑
n
=
0
∞
⁢
α
n
⁢
Γ
⁡
(
mL
R
⁢
L
T
+
n
+
1
)
L
T
mL
R
⁢
L
T
+
n
]
2
,
where Q is the average SNR, Γ(z)=∫0∞tz-1e−tdt for an arbitrary positive number z,
α
0
=
(
1
mL
R
)
L
T
-
1
,
and
α
n
=
Γ
⁡
(
mL
R
+
1
)
n
⁢
∑
j
=
1
n
⁢
j
⁢
⁢
L
T
-
n
Γ
⁡
(
mL
R
+
1
+
j
)
⁢
α
n
-
j
for a positive integer n.

220 more elements

An evaluation method for providing a transceiver system with performance information thereof, the transceiver system including a transmitter and a receiver, and modeling a channel between the transmitter and the receiver using Nakagami distribution with a fading parameter, the transmitter including a number LT of the transmit antennas, the receiver including a number LR of the receive antennas, said evaluation method being adapted to be implemented by an evaluation device and comprising the steps of:

a) configuring the evaluation device to set an average SNR for the channel between the transmitter and the receiver of the transceiver system;
b) configuring the evaluation device to compute an expected value and variance of an effective SNR of the transceiver system based upon the fading parameter, the average SNR, the number of the transmit antennas, and the number of the receive antennas;
c) configuring the evaluation device to compute an outage capacity of the transceiver system based upon the expected value and the variance of the effective SNR and a transmission outage parameter associated with a guaranteed transmission rate;
and
d) configuring the evaluation device to provide the transceiver system with the average SNR and the outage capacity as the performance information of the transceiver system;
wherein, in step b), when the fading parameter m is greater than or equal to ½, the evaluation device is configured to compute the expected value μQ and the variance σQ2 of the effective SNR based upon
μ
Q
=
(
Q
_
/
m
)
[
Γ
⁡
(
mL
R
)
]
L
T
⁢
∑
n
=
0
∞
⁢
α
n
⁢
Γ
⁡
(
mL
R
⁢
L
T
+
n
+
1
)
L
T
mL
R
⁢
L
T
+
n
,
and
σ
Q
2
=
(
Q
_
/
m
)
2
[
Γ
⁡
(
mL
R
)
]
L
T
⁢
∑
n
=
0
∞
⁢
α
n
⁢
Γ
⁡
(
n
+
mL
R
⁢
L
T
+
2
)
L
T
n
+
mL
R
⁢
L
T
+
1
-
[
(
Q
_
/
m
)
[
Γ
⁡
(
mL
R
)
]
L
T
⁢
∑
n
=
0
∞
⁢
α
n
⁢
Γ
⁡
(
mL
R
⁢
L
T
+
n
+
1
)
L
T
mL
R
⁢
L
T
+
n
]
2
,
where Q is the average SNR, Γ(z)=ƒ0∞tz-1e−tdt for an arbitrary positive number z,
α
0
=
(
1
mL
R
)
L
T
-
1
,
and
α
n
=
Γ
⁡
(
mL
R
+
1
)
n
⁢
∑
j
=
1
n
⁢
jL
T
-
n
Γ
⁡
(
mL
R
+
1
+
j
)
⁢
α
n
-
j
for a positive integer n.

218 more elements

i) configuring the evaluation device to set an average SNR for the channel between the transmitter and the receiver of the transceiver system;
ii) configuring the evaluation device to compute an expected value and variance of an effective SNR of the transceiver system based upon the fading parameter, the average SNR, the number of the transmit antennas, and the number of the receive antennas;
iii) configuring the evaluation device to compute an outage capacity of the transceiver system based upon the expected value and the variance of the effective SNR and a transmission outage parameter associated with a guaranteed transmission rate;
and
iv) configuring the evaluation device to provide the transceiver system with the average SNR and the outage capacity as the performance information of the transceiver system;
wherein, in step ii), when the fading parameter m is a positive integer, the evaluation device is configured to compute the expected value μQ and the variance σQ2 of the effective SNR based upon
μ
Q
=
L
T
⁡
(
Q
_
/
m
)
Γ
⁡
(
mL
R
)
⁢
∑
j
=
0
L
T
-
1
⁢
[
(
L
T
-
1
j
)
⁢
(
-
1
)
j
⁢
∑
n
=
0
j
⁡
(
mL
R
-
1
)
⁢
β
n
⁢
Γ
⁡
(
mL
R
+
n
+
1
)
(
j
+
1
)
mL
R
+
n
+
1
]
,
and
⁢
⁢
σ
Q
2
=
L
T
⁡
(
Q
_
/
m
)
2
Γ
⁡
(
mL
R
)
⁢
∑
j
=
0
L
T
-
1
⁢
[
(
L
T
-
1
j
)
⁢
(
-
1
)
j
⁢
∑
n
=
0
j
⁡
(
mL
R
-
1
)
⁢
β
n
⁢
Γ
⁡
(
mL
R
+
n
+
2
)
(
j
+
1
)
mL
R
+
n
+
2
]
-
{
L
T
⁡
(
Q
_
/
m
)
Γ
⁡
(
mL
R
)
⁢
∑
j
=
0
L
T
-
1
⁢
[
(
L
T
-
1
j
)
⁢
(
-
1
)
j
⁢
∑
n
=
0
j
⁡
(
mL
R
-
1
)
⁢
β
n
⁢
Γ
⁡
(
mL
R
+
n
+
1
)
(
j
+
1
)
mL
R
+
n
+
1
]
}
2
,
where Q is the average SNR, Γ(z)=∫0∞tz-1e−tdt for an arbitrary positive number z,
(
L
T
-
1
j
)
=
(
L
T
-
1
)
!
j
!
⁢
(
L
T
-
j
-
1
)
!
,
β0=1, and
β
t
=
1
t
⁢
∑
k
=
1
min
⁡
(
t
,
mL
R
-
1
)
⁢
k
⁡
(
j
+
1
)
-
t
k
!
⁢
β
t
-
k
for a positive integer t.

322 more elements

Dependencies are inferred from the claim text.