By Raphael Hunger

ISBN-10: 3642316913

ISBN-13: 9783642316913

ISBN-10: 3642316921

ISBN-13: 9783642316920

This booklet offers with the optimization-based joint layout of the transmit and obtain filters in MIMO broadcast channel within which the consumer terminals will be built with a number of antenna parts. additionally, the utmost functionality of the procedure within the excessive strength regime in addition to the set of all possible quality-of-service specifications is analyzed.

First, a basic duality is derived that holds among the MIMO broadcast channel and digital MIMO a number of entry channel. This duality build enables the effective answer of difficulties initially posed within the broadcast channel within the twin area the place a most likely hidden convexity can frequently be printed.

On the foundation of the demonstrated duality end result, the gradient-projection set of rules is brought as a device to unravel limited optimization difficulties to worldwide optimality below definite stipulations. The gradient-projection software is then utilized to fixing the weighted sum price maximization challenge that is a imperative optimization that arises in any community application maximization.

In the excessive strength regime, an easy characterization of the acquired functionality turns into attainable given that the weighted sum fee application converges to an affine asymptote within the logarithmic strength area. we discover closed shape expressions for those asymptotes which permits for a quantification of the asymptotic fee loss that linear transceivers need to face with recognize to soiled paper coding.

In the final half, we solution the elemental query of feasibility in quality-of-service dependent optimizations with inelastic site visitors that includes strict hold up constraints. below the idea of linear transceivers, no longer each set of quality-of-service necessities can be possible making the ability minimization challenge with given reduce sure constraints at the expense for instance infeasible in those circumstances. We derive a whole description of the quality-of-service feasibility sector for arbitrary channel matrices.

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Throughout this section, we therefore assume the symbol vectors s 1 , . . , s K to be Gaussian with identity covariance matrix. This capacity concept of the SISO system was extended to a point-to-point MIMO link fifty years later by Telatar in [52]. Again, the point-to-point link can be seen as a single-user broadcast channel, where the received signal reads as BC y BC 1 = H 1 P 1 s1 + η 1 cf. Sect. 1. 46) and the capacity CMIMO is the maximum mutual information IMIMO ( P 1 ) when optimizing the input distribution P 1 s1 with respect to P 1 under some power constraint.

K Bk Choosing W k as the unitary eigenbasis of B MMSE H BC k k P k for all k ∈ {1, . . 50), we can decorrelate and diagonalize every pointwhere B k to-point link. 54) holds with equality: ¯ = IkBC ( P) ¯ = IkBC ( P). 55) RkBC ( P) Thus, we can achieve the mutual information that usually requires joint decoding of the L k streams associated to user k with separate stream decoding since no intra-user interference remains! 2 In the K user MIMO BC with linear transceivers, the K mutual information expressions between the transmitter and each receiver can be achieved by separate stream decoding using MSE receivers followed by appropriate decorrelation matrices applied at all transmit and receive filters.

2K ,L K T = Y −1 · p1,1 22 , . . , p K ,L K 2 T 2 . 29) To see that the dissipated sum power is conserved when we choose A1 , . . 27): 2 1TL Y · ψ1,1 , . . , ψ 2K ,L K K Lk k=1 j=1 T = 1TL · 2 T ∗ BC ψk, j bk, j C η k bk, j = Pdiss . p1,1 22 , . . , p K ,L K 2 T 2 30 3 Dualities for the MIMO BC and the MIMO MAC with Linear Transceivers The dissipated power in the MAC reads as [cf. 24)] K MAC Pdiss Lk Lk K = t k, j 22 k=1 j=1 = 2 T H ∗ ψk, j bk, j Ak Ak bk, j k=1 j=1 BC , if A , . . 21).

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Analysis and Transceiver Design for the MIMO Broadcast Channel by Raphael Hunger

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