| M. Bengtsson, Antenna Array Signal Processing for High Rank Data Models, Ph.D. thesis, Royal Institute of Technology, Stockholm, December 1999. |
....estimator of and . The CRLB is derived under SML assumptions, i.e. the path gains are stochastic Gaussian processes. In theory the SML method outperforms the DML method [13] This justifies the stochastic model being appropriate for the CRLB. The expression of the CRLB has been derived in [18] with the point source model presented in (2.1) in the SIMO case. As we have seen, our reshaped MIMO data model (3.7) is based on the same assumptions and the covariance matrix of data set h(t) is given by n n n H s s s H h E E E E I PA A R = s q j q j . Let us denote the ....
....on the same assumptions and the covariance matrix of data set h(t) is given by n n n H s s s H h E E E E I PA A R = s q j q j . Let us denote the parameter vector containing both the DOD and DOA parameters such as = 1 j K q K ] Then the CRLB matrix is given by [18] [ Re 2 = T h n h c s h h vec vec N CRLB R R where [ s and [ n denote the pseudo signal and pseudo noise parts respectively, i.e. n n n n h H s s s s h 1 1 = In the following sections, the performance of the different ....
Mats Bengtsson. Antenna Array Signal Processing for High Rank Data Models. Ph.D. thesis, Royal Institute of Technology, Stockholm, Sweden, Dec. 1999. TRITA-S3-SB-9938.
....method is decentralized and the minimization may be performed at each access point. The focus of joint optimal beamforming and power control is to minimize the transmit power, provided that all links fulfill the QoS requirement, here stated as a requirement on the SINR at each mobile terminal. In [Ben99] semi definite optimization methods [Stu98] are used to solve a relaxed expression of the minimization problem. In [RFLT98, VM99] iterative solutions are designed and optimality is proved. In [SB02] the problem is divided into a feasibility step and a power minimization step. The joint optimal ....
....sent on di#erent frequencies. This means that even if the uplink channel may be estimated, the knowledge about the downlink channel is limited as the signal fades di#erently on di#erent carrier frequencies. Further, even if the joint beamforming and power control problem is solved for the uplink [Ben99] the terminal has to use the optimal power when transmitting and the access point has to use the optimal weights when receiving and thus the optimal solution has to be communicated to the terminal before it starts transmitting. There is a tra#c di#erence between uplink and downlink. In the ....
[Article contains additional citation context not shown here]
Mats Bengtsson. Antenna Array Signal Processing for High Rank Data Models. PhD thesis, Royal Institute of Technology, S3, KTH, SE-100 44 Stockholm, Sweden, 1999.
No context found.
Mats Bengtsson, Antenna Array Signal Processing for High Rank Data Models, Ph.D. thesis, Royal Institute of Technology, Stockholm, Sweden, Dec. 1999, TRITA--S3--SB--9938.
.... 1 = d i q i i i , 1 , # = v w The maximising v i in the first step of each iteration is given as the solution of a generalised eigenvalue problem, see [8] Convergence to the global optimum is proven in [12] A variant of the algorithm has also appeared in [17] Algorithm 2 In [3], 4] it is shown that (2) can be rewritten in the following form. d i i i i i n i i n n i i i i i d i i , 1 te, semidefini positive is , Tr Tr s.t. Tr min 2 , 1 # = W W W W R W R W s g g k k (3) This is a, so called, semidefinite optimisation problem ....
....point methods, these semidefinite problems can be solved with in principle the same computational complexity as ordinary LP problems. At first sight, 3) appears to be a relaxation of the original problem (2) since we do not have a constraint that W i has rank one. However, it can be shown, see [3], that (3) does indeed always have an optimal solution of rank one and the desired beamforming vectors are given by the solution of d i i i i , 1 , # = W w w . Efficient software packages for the solution of (3) are readily available, see for example [13] Extensions Frequency ....
[Article contains additional citation context not shown here]
M. Bengtsson. Antenna Array Signal Processing for High Rank Data Models. PhD thesis, Royal Institute of Technology, Stockholm, Sweden, Dec. 1999. TRITA--S3--SB--9938.
No context found.
M. Bengtsson, Antenna Array Signal Processing for High Rank Data Models, Ph.D. thesis, Royal Institute of Technology, Stockholm, December 1999.
Online articles have much greater impact More about CiteSeer.IST Add search form to your site Submit documents Feedback
CiteSeer.IST - Copyright Penn State and NEC