Reuse Within a Cell - Interference Rejection or Multiuser Detection? Signals and Systems Group
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1 Reuse Within a Cell - Interference Rejection or Multiuser Detection? Claes Tidestav, Mikael Sternad and Anders Ahlen Signals and Systems Group
2 With array receivers in FDMA/TDMA systems, several users could share one channel in each cell. Simplest receiver: spatial beamforming More advanced space-time processing: - Interference rejection - Multiuser detection.
3 Multiuser detection and interference rejection? Multiuser detection Interference rejection Detect Detect all all signals signals simultaneously Detect Detect one one signal signal at at the the time time and and consider the the remaining as as interference Is there a difference?
4 Yes and no! For linear detectors: a set of linear receivers, each detecting one signal and rejecting the remaining as interference is exactly the same as a single linear receiver which detects all signals simultaneously. For non-linear detectors: a set of non-linear receivers, each detecting one signal and rejecting the remaining as interference is different from a single non-linear receiver which detects all signals simultaneously.
5 Example scenario: several antennas at the receiver several users to detect, all in the same cell at the same frequency in the same time-slot intersymbol interference different flavours of decision feedback equalizers employed
6 - S(z ;1 ) -"! - - z ;1 Q(z ;1 ) Interference rejection of multiuser detection? The decision feedback equalizer: an an old idea y(k) ^d(k ; m f jk) ~d(k ; m f ) # Suppress intersymbol interference and noise using the two filters 6 The effect of symbols already detected is removed by the feedback filter The coefficients of the filters are adjusted to minimize some criterion
7 - - z ;1 Q(z ;1 ) ~d(k ; m f ) Interference rejection of multiuser detection? An An interference rejecting DFE y(k) ^d(k ; m f jk) # H H S(z;1 ) 6 -"! Several inputs, one for each antenna One output for the single user we are trying to detect The feedforward filter suppresses intersymbol interference interference from other users (co-channel interference) noise The feedback filter can only reject intersymbol interference
8 H ;1 H ) S(z H H H H z ;1 Q(z ;1 ) H H H Interference rejection of multiuser detection? A DFE performing multiuser detection y(k) ^d(k ; m f jk) ~d(k ; m f ) # A A "! Several inputs, one for each antenna Several outputs, one for each user The feedforward filter suppresses intersymbol interference co-channel interference noise The feedback filter suppresses intersymbol interference co-channel interference
9 Performance example (simulations) Estimated BER ;1 10 ;2 10 ;3 10 ;4 10 ;5 10 ;6 10 ;7 one user two users (SU) two users (MU) three users (SU) three users (MU) four users (SU) four users (MU) b (db) BPSK Four antennas Three Rayleigh fading taps Channel estimated from 26 training symbols 1,2,3 and 4 users DFE:s performing multiuser detection (MU) and interference rejection (SU)
10 Why such large differences in in performance? For For the the MU MU DFE, DFE, some some of of the the cochannechannel interference interference can can be be rejected rejected by by co- the the feedback feedback filter filter Additional Additional users users can can be be accommodated accommodated Exactly how many users can be handled for the two types of detectors? When can we expect a detector to work properly?
11 Minimum mean-square error designs Design criterion of equalizers: almost always MMSE Minimizes the expected value of the squared estimation error Pros: Con: provides balance between interference rejection and noise suppression simple adaptive implementation always exists always exists (!) We cannot use the existence of an MMSE equalizer as an indication of a well-posed detection problem!
12 The zero-forcing design and near-far resistance A zero-forcing (ZF) equalizer is designed to completely remove both the intersymbol and co-channel interference Disadvantages: Noise enhancement Worse performance than the corresponding MMSE design If the intersymbol or co-channel interference cannot be completely rejected, no ZF equalizer will exist! Performance will deteriorate with increasing co-channel interference, for the corresponding MMSE equalizer We We can can use use the the existence existence of of a ZF ZF equalizer equalizer as as an an indicator indicator of of a well-posed well-posed detection detection problem problem (or (or of of near-far near-far resistance) resistance)
13 The example scenario Factors which affect the existence of ZF equalizers: system properties: number of users number of antennas channel properties: delay spread bulk delay common factors detector properties: decision delay filter degrees An MU DFE requires (much) shorter filters than an IR DFE!
14 Experiments: The DFE:s have been applied to uplink measurements from an antenna array testbed DCS-1800 Antenna properties: One 8-element array antenna One conventional sector antenna with two-branch diversity Two mobiles, travelling the same route in Kista ~20000 GSM-bursts collected and detected
15 p p one p p one Interference rejection of multiuser detection? Results Array antenna Sector antenna 10 ;1 10 ;1 Estimated BER 10 ;2 Estimated BER 10 ;2 user user two users (SU) two users (MU) two users (SU) two users (MU) 10 ; Average C/N (db) 10 ; Average C/N (db)
16 Results (continued) Array antenna: in agreement with simulations: the more antennas, the smaller the difference Sector antenna: not in agreement with simulations! possible to design a zero-forcing IR DFE since there is negligible dispersion in the channel All intersymbol interference due to partial response modulation The channel from one user to all antenna elements will have a common factor Ø Spatial suppression of the interferer is sufficient
17 Conclusions There is a difference between non-linear multiuser detectors and non- linear interference cancellers In general, a system using multiuser detection can handle more simultaneous users than a system using interference rejection However, the difference is small when The number of users is small compared to the number of antennas The delay spread is small
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