Research and Analysis of TD-SCDMA Uplink Capacity - Advanced Research on Computer Education, Simulation and Modeling - page 130

R is service rate. The function relation of the three parameters is following

W

G =

(5)

R

If the received power of the j -th user is

P , the ratio of signal to noise needed to

G is the processing gain of the j -th user.

demodulate the signal in Equation(6).

G ⋅ P

⎛ ⎞

E j j

⎜ ⎜
⎝

⎟ ⎟
⎠

b

=

N

(6)

N

∑
=

∂ × [ P − P ] + N

o

j

AF t j 0

t 1

According to Equation (6), Equation (7) can be drawn

⎛ ⎞

E ⎡

N

⎤

∑
=

⎜ ⎜
⎝

⎟ ⎟
⎠

b

N + ∂ ⋅ P

⎢ ⎣ ⎥ ⎦

0 AF t

N

t 1

0

j

=

P (7)

i

⎛ E ⎞

⎜ ⎜
⎝

b

⎟ ⎟
⎠

⋅ ∂ + G

AF j

N

0

j

When Equation (7) can be inserted Equation (3), Equation (8) can be arrived at

⎛ ⎞

E

⎜ ⎜
⎝

⎟ ⎟
⎠

b

N

0

j

η = (8)

j

⎛ ⎞

E

⎜ ⎜
⎝

b

⎟ ⎟
⎠

⋅ ∂ + G

AF p

N

0

j

Equation (8) will be inserted in Formula(4), Equation (9) can be drawn

⎛ ⎞

E

⎜ ⎜
⎝

b

⎟ ⎟
⎠

⋅ ∂

VF

N

N N

∑∑
=

0

j

η = ∂ ⋅ η = (9)

VF j

⎛ ⎞

E j 1 j = 1

⎜ ⎜
⎝

b

⎟ ⎟
⎠

⋅ ∂ + G

AF j

N

0

j

It is assumed that a single service rate is in the single cell, then all the parameters

⎛ ⎞

E ⎟ ⎟
⎠

⎜ ⎜
⎝

b

G is constant to j . Equation (9) can be simplified to Equation

such as and

N

0

j

(10)