TY - GEN
T1 - Sensitivity analysis of MVDR and MPDR beamformers
AU - Ehrenberg, Livnat
AU - Gannot, Sharon
AU - Leshem, Amir
AU - Zehavi, Ephraim
PY - 2010
Y1 - 2010
N2 - A sensitivity analysis of two distortionless beamformers is presented in this paper1. Specifically, two well-known variants, namely the minimum power distortionless response (MPDR) and minimum variance distortionless response (MVDR) beamformers, are considered. In our scenario, which is typical to many modern communications systems, waves emitted by multiple point sources are received by an antenna array. An analytical expression for the signal to interference and noise ratio (SINR) improvement obtained by both beamformers under steering errors is derived. These expression are experimentally evaluated and compared with the robust Capon beamformer (RCB), a robust variant of the MPDR beamformer. We show that the MVDR beamformer, which uses the noise correlation matrix in its minimization criterion, is more robust to steering errors than its counterparts, that use the received signal correlation matrix. Furthermore, even if the noise correlation matrix is erroneously estimated due to steering errors in the interference direction, the MVDR advantage is still maintained for reasonable range of steering errors. These conclusions conform with Cox [1] findings. Only line of sight propagation regime is considered in the current contribution. Ongoing research extends this work to fading channels.
AB - A sensitivity analysis of two distortionless beamformers is presented in this paper1. Specifically, two well-known variants, namely the minimum power distortionless response (MPDR) and minimum variance distortionless response (MVDR) beamformers, are considered. In our scenario, which is typical to many modern communications systems, waves emitted by multiple point sources are received by an antenna array. An analytical expression for the signal to interference and noise ratio (SINR) improvement obtained by both beamformers under steering errors is derived. These expression are experimentally evaluated and compared with the robust Capon beamformer (RCB), a robust variant of the MPDR beamformer. We show that the MVDR beamformer, which uses the noise correlation matrix in its minimization criterion, is more robust to steering errors than its counterparts, that use the received signal correlation matrix. Furthermore, even if the noise correlation matrix is erroneously estimated due to steering errors in the interference direction, the MVDR advantage is still maintained for reasonable range of steering errors. These conclusions conform with Cox [1] findings. Only line of sight propagation regime is considered in the current contribution. Ongoing research extends this work to fading channels.
UR - http://www.scopus.com/inward/record.url?scp=78651230587&partnerID=8YFLogxK
U2 - 10.1109/EEEI.2010.5662190
DO - 10.1109/EEEI.2010.5662190
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AN - SCOPUS:78651230587
SN - 9781424486809
T3 - 2010 IEEE 26th Convention of Electrical and Electronics Engineers in Israel, IEEEI 2010
SP - 416
EP - 420
BT - 2010 IEEE 26th Convention of Electrical and Electronics Engineers in Israel, IEEEI 2010
T2 - 2010 IEEE 26th Convention of Electrical and Electronics Engineers in Israel, IEEEI 2010
Y2 - 17 November 2010 through 20 November 2010
ER -