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A Novel Finger Assignment Algorithm for RAKE Receivers in CDMA Systems

Mohamed Abou-Khousa

Department of Electrical and Computer Engineering, Concordia University, Montreal, QC, Canada

Mohamed El-Tarhuni

Department of Electrical and Engineering, American University of Sharjah, Sharjah, UAE

Ali Ghrayeb

Department of Electrical and Computer Engineering, Concordia University, Montreal, QC, Canada

(2)

Outline

Scope

Introduction

Proposed FAA

Simulation Results

Conclusions

(3)

Scope

Finger assignment is very crucial for CDMA RAKE receiver performance

Conventional schemes use average signal strength criterion

We propose a new finger assignment

strategy based on signal-to-interference

ratio

(4)

Introduction

Most third generation (3G) wireless networks use CDMA

Improving the performance of CDMA systems is very crucial for successful deployment

Wideband transmission using PN spreading codes

Channel appears frequency selective with many paths to detect

A RAKE receiver is essential to exploit multipath diversity

The RAKE consists of several correlators (fingers)

Fingers are time aligned with “Potential” paths

After despreading, outputs of fingers are properly combined (MRC)

(5)

Conventional FAA

Finding “potential” paths to be combined impacts the overall performance of the receiver

Finger Assignment Algorithm (FAA)

Conventionally, paths with maximum signal strength are assigned to fingers

Works well if interference seen at all paths is the same

This condition does not hold always, hence the conventional solution is suboptimal

(6)

Proposed FAA

A better FAA should consider SIR rather than signal strength alone

Practically, paths with maximum SIR should be combined

Problem: we need to estimate the SIR per path

Channel estimates

PN code Finger

delays

Combiner Output

SIR estimates Search

results Received

Signal RAKE

Receiver

Searcher

Per path SIR

Estimator

FAA

(7)

System Model and Per Path SIR Estimation

Received base-band signal:

The searcher: an acquisition circuit that provides correlation results over a window of delays. Searcher output:

For a given delay, many search results are used

The signal-to-interference per path is estimated as

A k

k b

k n E n I n n N

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) ( )

( )

(

1 1

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M m

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( )

(n E 1 1 n I n

hk b k k

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) ) (

(

k b

k b

p h k E

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SIR

NA

n k

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(8)

FAA Steps

In order for a path to be detected, it should have an SIR value that exceeds the threshold

In order for a path to be assigned, its SIR value should be one of the L maximum values among all the detected paths

The FAA steps are:

Perform a search over the window of possible delays

Accumulate search results over a period of time

Estimate the SIR per path for every delay

Assign fingers to the paths with maximum SIR that exceed a certain threshold for a given probability of False Alarm

If none of the delays in the current search window has an SIR value that passes the threshold, assign a detected path from the previous frame

Otherwise, assign the delay with maximum SIR from the current search window

The above steps are repeated for every frame of received data

(9)

Simulation Results

Two-user CDMA system

Random spreading codes with spreading factor of 128

frequency-selective Rayleigh fading channel

4 paths of relative delays 0, 2, 4, and 6 chips

Uniform PDP

Normalized Doppler frequency: 0.01

Frame duration: 20 ms

Search window: 32 offsets

Search step: ½ chip

Number of Accumulations: 13

False Alarm Probability: 1%

Pilot channel gain compared to data channel: 0 dB

The same channel estimation algorithm is implemented for both

schemes (Moving average filter over the despread values for the whole frame period)

(10)

Bit Error Rate: P

fa

=1%

(11)

Probability of Detection First Path

0 2 4 6 8 10 12 14 16

10-2 10-1

100 Probability of False Alarm = 0.01

Eb/No dB Probability of Detection (P D)

Conventional SIR=-10 dB Conventional SIR=0 dB Conventional SIR=10 dB Proposed SIR=-10 dB Proposed SIR=0 dB Proposed SIR=10 dB

(12)

Probability of Detection All Four Paths

0 2 4 6 8 10 12 14 16

10-4 10-3 10-2 10-1 100

E /N dB Probability of Detection (P D)

Probability of False Alarm = 0.01

Conventional SIR=-10 dB Conventional SIR=0 dB Conventional SIR=10 dB Proposed SIR=-10 dB Proposed SIR=0 dB Proposed SIR=10 dB

(13)

Receiver Operational Characteristics (ROC)

10-4 10-3 10-2 10-1

10-1 100

SNR = 12 dB

False Alarm Probability

Probability of Detection

Conventional SIR=-10 dB Conventional SIR=0 dB Conventional SIR=10 dB Proposed SIR=-10 dB Proposed SIR=0 dB Proposed SIR=10 dB

(14)

Sensitivity to Threshold Value

Scheme Conventional Proposed No Threshold 91.05% 99.30%

PFA= 0.01 74.85% 91.85%

SIR = 0 dB, SNR = 10 dB

(15)

Conclusions

An improved FAA algorithm is proposed for RAKE receivers

Per-path signal-to-interference ratio criterion

A simple per-path SIR estimator is developed

Significant performance improvement over the conventional signal-strength based FAA

Future work should consider the potential of the proposed scheme in the forward link.

(16)

Thank You!

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Finger delays Combiner Output SIR estimates Search results Channel estimates PN code Received Signal RAKE Receiver Searcher Per path SIR Estimator FAA Set