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An Experimental Approach to CDMA and Interference Mitigation phần 6 docx
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An Experimental Approach to CDMA and Interference Mitigation phần 6 docx

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128 Chapter 3

500

400

300

200

100

0

40x10 3

0 10 20 30

Normalized Time (Symbols)

L=64, K=32

C/I=-6 dB, P/C=6 dB

Eb/N0=2 dB

J BAID=2-15

Figure 3-37. CPRU acquisition sample.

1

2

3

4

5

6

7

8

9

10

0 2 4 6 8 10

Eb/N0 (dB)

L=64, K=32

C/I=-6 dB, P/C=6 dB

J BAID=2-15

Figure 3-38. Accuracy of CPRU phase estimates.

3. Design of an All Digital CDMA Receiver 129

0.001

2

3

4

5

6

0.01

2

3

4

5

6

0.1

2

3

4

5

6

1

BER

0 2 4 6 8 10

Eb/N0 (dB)

L=64, K=32

C/I=-6 dB, P/C=6 dB

J BAID=2-15

AFC, PLL on

ideal

Figure 3-39. BER performance in the presence of frequency and phase errors.

where ˆ 'T T  T () () () kkk is the residual phase error at step k, and

{±1±j} k c  is the kth transmitted QPSK symbol on the useful traffic

channel. If we look at z k ( ) as a function of 'T( ) k we easily find that it is

not dependent on the particular value of k c , and it is periodic with period

S/ 2

zk A k k ª'T º  ª'T º ^ cos sin ¬ ¼¬ ¼ 

 ª'T º  ª'T º cos sin ¬ ¼¬ ¼ k k ` (3.99)

(recall that A ! 0 by definition). As is seen from the plot of (3.99) in Figure

3-40, z k ( ) attains its maximum value 2A when the phase error is a multiple

of S/ 2 , i.e., when the phase loop is in lock. Re-considering noise and MAI,

z k ( ) needs filtering to yield a reliable lock metrics as in (3.97).

Before the AFCU and the CPRU have attained lock z k ( ) is affected by a

frequency offset. In such a condition 'T( ) k has a linear evolution with time,

and therefore the oscillating plot in Figure 3.40 is in a sense ‘swept’ on the

phase x-axis. If the forgetting factor is small, i.e., 1 L J  , the lock metrics

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