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doc.: IEEE 802.11-09/0161r1
Submission
doc.: IEEE 802.11-10/1131r0
K. Ishihara et al.,(NTT)
Sept. 2010
Slide 1
Sept. 2010
Slide 1Slide 1
Time-Domain CSI Compression Schemes for Explicit Beamforming in MU-MIMO
Date: 2010-9-14
Name Affiliations Address Phone email Koichi Ishihara NTT Corporation Hikarino-oka
Yokosuka-shi, Japan +81-46-859- 4233
Yusuke Asai NTT Corporation Hikarino-oka Yokosuka-shi Japan
+81-46-859-3494
Riichi Kudo NTT Corporation Hikarino-oka Yokosuka-shi, Japan
+81-46-859-3140
Laurent Cariou Orange Labs 4, rue du clos courtel 35512 Cesson-Sévigné
+33 2 99 12 43 50
Authors:
doc.: IEEE 802.11-09/0161r1
Submission
doc.: IEEE 802.11-10/1131r0
K. Ishihara et al.,(NTT)
Sept. 2010
Slide 2
Sept. 2010
Introduction• Downlink (DL) MU-MIMO will be adopted to improve the spectrum
efficiency in TGac.• We have shown CSI report requirements for TGac in explicit feedback
and in need of some CSI compression scheme to achieve higher MAC efficiency for MU-MIMO transmission [1].
• In [2] and [3], time-domain CSI compression schemes were proposed to reduce the amount of CSI needed. – [2] uses discrete cosine transform (DCT).– [3] uses truncated inverse discrete Fourier transform (TiDFT).
• In this submission, we present these CSI compression schemes and evaluate these performances.
doc.: IEEE 802.11-09/0161r1
Submission
doc.: IEEE 802.11-10/1131r0
K. Ishihara et al.,(NTT)
Sept. 2010
Slide 3
Sept. 2010
Slide 3
Concept of time-domain CSI feedback
• Frequency-domain (FD) CSI-FB: CSI between a Tx antenna and a Rx antenna consists of Nsubc subcarrier components.
• Time-domain (TD) CSI-FB: CSI consists of only Ng components since it is assumed that the actual channel impulse response is present only the GI duration.
Less CSI-FB needed with TD than with FD: factor is Ng/Nsubc.
freq.
Nsubc
timeNg
Pow
er
Pow
er
Frequency-domain CSI Time-domain CSI
TD/FD conversion
doc.: IEEE 802.11-09/0161r1
Submission
doc.: IEEE 802.11-10/1131r0
K. Ishihara et al.,(NTT)
Sept. 2010
Slide 4
Sept. 2010
Slide 4
CSI compression scheme using DCT [2]
Pow
er
Freq.
Channel gain
Freq.
Freq.
Discontinuity
Inverse discrete Fourier transform (IDFT)
Discrete cosine transform (DCT)
Pow
er
Time
DCT
IDFT
• IDFT and DCT can create time-domain components.• In IDFT, the discontinuity at the band edges results in a spreading of energy in
the impulse response since DFT assumes that the frequency response is periodic, which causes large CSI error.
• In contrast, DCT can reduce the high-frequency components compared to DFT since it assumes mirror extension of the original data.
ContinuityNg
doc.: IEEE 802.11-09/0161r1
Submission
doc.: IEEE 802.11-10/1131r0
K. Ishihara et al.,(NTT)
Sept. 2010
Slide 5
Sept. 2010
CSI compression scheme using TiDFT [3]• In IDFT, the discontinuity at the band edges results in a spreading of energy
in the impulse response.• To overcome this problem, a truncated IDFT (TiDFT) matrix is applied:
TiDFT matrix is the truncated SVD of pseudo-inverse matrix for IDFT. • TiDFT/FFT operation enables CSI compression since it can suppress CSI
error due to discontinuity of the band edges.
HH FFFF1
rrank FVUF~
,~~ *
(NsubcxNFFT)-DFT matrixF
Pseudo-inverse matrix
Truncated SVD decomposition
TiDFT matrix
doc.: IEEE 802.11-09/0161r1
Submission
doc.: IEEE 802.11-10/1131r0
K. Ishihara et al.,(NTT)
Sept. 2010
Slide 6
Sept. 2010
Slide 6
-60 -50 -40 -30 -20 -100
20
40
60
80
100
MSE (dB)
CD
F
Performance comparison of 3 CSI-FB schemes (1/2)
Nb=8bits
7bits
6bits
5bits
4bits
DCTTiDFTConventional (FD)
Simulation parameters
Nb: Number of bits for each CSI coefficient
Channel model Model E
Bandwidth 40MHz
Number of FFT points N 128
Number of subcarriers Nsubc 114
Number of antennas at AP NT 8
Number of antennas at STA NR 1
DCT
Number of CSI-FB components for DCT LDCT
32x2
Number of DCT points NDCT 64
TiDFTNumber of CSI-FB components for TiDFT LTiDFT
32
Note: CSI before compression is perfect CSI. When CSI before compression includes the effect of noise, MSE performance of DCT and TiDFT will be 3dB and 6dB better than conventional FD respectively because of time domain smoothing.
doc.: IEEE 802.11-09/0161r1
Submission
doc.: IEEE 802.11-10/1131r0
K. Ishihara et al.,(NTT)
Sept. 2010
Slide 7
Sept. 2010
Performance comparison of 3 CSI-FB schemes (2/2)
Simulation parametersChannel model Model E
Bandwidth 40MHz
Modulation 64QAM
Coding rate 5/6
Transmit beamforming ZF
DCT
Number of CSI-FB components for DCT LDCT
32x2
Number of DCT points NDCT 64
TiDFTNumber of CSI-FB components for TiDFT LTiDFT
32
10-5
10-4
10-3
10-2
10-1
100
10 15 20 25 30
IdealConv. (4bits)Conv. (5bits)Conv. (6bits)DCT (4bits)DCT (5bits)DCT (6bits)TiDFT (4bits)TiDFT (5bits)TiDFT (6bits)
Ave
rage
BE
R
SNR (dB)
DL MU-MIMO: AP(8Tx) to 4 STAs(1Tx)
Note: “Ideal” means Perfect CSI. The original CSI of three CSI-FB schemes is perfect CSI. The CSI error is due to quantization error and CSI compression operation. If original CSI includes the effect of noise, BER performance of time domain CSI-FB becomes much better than conventional scheme because of noise reduction by smoothing.
doc.: IEEE 802.11-09/0161r1
Submission
doc.: IEEE 802.11-10/1131r0
K. Ishihara et al.,(NTT)
Sept. 2010
Slide 8
0
2000
4000
6000
8000
10000
12000
DCT TiDFT Conv.
FB
inf
orm
atio
n (b
its)
Sept. 2010
Slide 8
Amount of FB information and calculation complexity
DCT TiDFT
AP 2NDCTlog2(NDCT) NsubcxLTiDFT
STA 2NDCTlog2(NDCT) Nlog2N
FB information bits per STA
DCT (3+2xNbxNTxNR)xLDCT
TiDFT (3+2xNbxNTxNR)xLTiDFT
Conv. (3+2xNbxNTxNR)xNsubc
Number of additional multiplications for TD conversion
0
500
1000
1500
2000
2500
3000
3500
4000
DCT TiDFT
Num
ber
of a
ddit
iona
l m
ulti
plic
atio
ns
@STA
@AP
Nb=6bits
doc.: IEEE 802.11-09/0161r1
Submission
doc.: IEEE 802.11-10/1131r0
K. Ishihara et al.,(NTT)
Sept. 2010
Slide 9
-50 -45 -40 -35 -30 -25 -20 -15 -100
20
40
60
80
100
MSE (dB)
CD
F
-50 -45 -40 -35 -30 -25 -20 -15 -100
20
40
60
80
100
MSE (dB)
CD
FSept. 2010
Slide 9
Effect of the number of CSI-FB coefficients
Channel model B (small delay spread) Channel model E (large delay spread)
DCTDCT
Nb=6bits Nb=6bits
LDCT=32x2, 24x2, 16x2
LDCT=32x2
LDCT=24x2
LDCT=16x2
doc.: IEEE 802.11-09/0161r1
Submission
doc.: IEEE 802.11-10/1131r0
K. Ishihara et al.,(NTT)
Sept. 2010
Slide 10
0
2000
4000
6000
8000
10000
12000
DCT Conv.F
B i
nfor
mat
ion
(bit
s)
Sept. 2010
Performance comparison of 3 CSI-FB schemes (2/2)
Channel model BNb = 6bits Nb=6bits
When the delay spread is small, the amount of FB information can reduce by controlling the number of CSI-FB components L.
10-5
10-4
10-3
10-2
10-1
100
10 15 20 25 30 35 40
Ideal
DCT(L=16x2)
DCT(L=24x2)
DCT(L=32x2)
Ave
rage
BE
R
SNR (dB)
Note: When using optimization of TiDFT matrix, TiDFT can also reduce the number of FB information bits.
doc.: IEEE 802.11-09/0161r1
Submission
doc.: IEEE 802.11-10/1131r0
K. Ishihara et al.,(NTT)
Sept. 2010
Slide 11
Sept. 2010
Slide 11
Conclusion• We presented the performance evaluations for time-domain CSI-FB
schemes to reduce the amount of FB information.• Time-domain approach can reduce FB information since the number
of channel impulse response components fits within GI period.– DCT reduces CSI-FB information by about half of the conventional one
with some additional calculation.– TiDFT is the most effective scheme of CSI compression although
calculation complexity increases at STA.• The amount of FB information can be adjusted dynamically by
controlling the number of CSI-FB components with the demand of CSI accuracy.
• In addition, time-domain operation can improve the CSI estimation accuracy by reducing the noise on the estimated channel coefficients.
doc.: IEEE 802.11-09/0161r1
Submission
doc.: IEEE 802.11-10/1131r0
K. Ishihara et al.,(NTT)
Sept. 2010
Slide 12
Sept. 2010
K. Ishihara et al.,(NTT)Slide 12
References
[1] K. Ishihara et al., CSI Report for Explicit Feedback Beamforming in Downlink MU-MIMO, IEEE 802.11-10/0332r0, Mar. 2010.
[2] K. Ishihara et al., CSI Feedback Scheme using DCT for Explicit Beamforming, IEEE 802.11-10/0806r1, July 2010.
[3] L. Cariou and M. Diallo, Time Domain CSI report for explicit feedback, IEEE 802.11-10/0586r1, May 2010.