Pipelining and number theory for multiuser detection Sridhar Rajagopal and Joseph R. Cavallaro Rice University This work is supported by Nokia, TI, TATP and NSF
Motivation Several multiuser detection schemes Hardware implementation infeasible Optimize algorithm + hardware Design a reduced complexity multiuser detection algorithm and its implementation for 3GPP W-CDMA
Approaches Algorithm –parallel interference cancellation –reduced complexity, parallel structure Pipelining –bit-streaming, avoid block detection Number theory –Most Significant Digit First (MSDF) computation –sign detection
Contributions decrease detection latency and storage requirements by window length (12X) On-line arithmetic based on MSDF computation –further latency reduction by 1.9X –increase in throughput by 3X –possible savings in area
Outline Parallel interference cancellation Pipelining On-line arithmetic Conclusions Current research directions
Multiuser detection r i-2 r i-1 riri r i+1 Interference from previous bits of other users Interference from future bits of other users Desired user User 1 User j riri bibi b i+1 time
Multiuser detection Optimal - MLSE Decorrelating MMSE Serial/Parallel interference cancellation Top 3 require inversion of matrices Block based detection
Parallel interference cancellation Block based detection
Block detection
Outline Parallel interference cancellation Pipelining On-line arithmetic Conclusions Current research directions
Parallel interference cancellation Block Toeplitz structure - suitable for pipelining
Pipelined detection
Being designed as a class project in Elec 422/423 VLSI class
Outline Parallel interference cancellation Pipelining On-line arithmetic Conclusions Current research directions
Redundant number systems Conventional systems ( , r=10) –radix r has r possible digits Redundant ( , ,…. r=10) –>r possible digits. Limit carry propagation Totally parallel addition/subtraction ONLY.
On-line arithmetic Uses a redundant number system Pipelined bit-serial arithmetic Most Significant Digit First computation Successive computations as soon as inputs available ( = 1-4, typically) Can do operations such as addition, multiplication, division, square-root etc.
On-line detection and decoding Entire chain can be done on-line Work with hard decisions (sign of MSD) simple way to use softer decisions (2 or more digits)
On-line arithmetic for detection
Conventional arithmetic - matched filter
On-line matched filter
Conventional multiuser detection
On-line multiuser detection
Comparisons N = K =32, d = 8, S = 3, r = 4, t ol = 2, t conv = 1, t stop = 2
Outline Parallel interference cancellation Pipelining On-line arithmetic Conclusions Current research directions
Conclusions Techniques such as pipelining and on-line arithmetic can be used to implement multi- user detection for W-CDMA. Lower latency Higher throughput Smaller area Simple hardware - adders and multipliers
Current research directions Reconfigurable computing -RENE Chameleon - hardware mNIC card