Download e-book for iPad: Analysis and Transceiver Design for the MIMO Broadcast by Raphael Hunger

By Raphael Hunger

ISBN-10: 3642316913

ISBN-13: 9783642316913

ISBN-10: 3642316921

ISBN-13: 9783642316920

This ebook offers with the optimization-based joint layout of the transmit and obtain filters in MIMO broadcast channel within which the person terminals can be built with numerous antenna components. moreover, the utmost functionality of the method within the excessive energy regime in addition to the set of all possible quality-of-service requisites is analyzed.

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

On the root of the demonstrated duality outcome, the gradient-projection set of rules is brought as a device to unravel limited optimization difficulties to worldwide optimality lower than sure stipulations. The gradient-projection device is then utilized to fixing the weighted sum fee maximization challenge that's a relevant optimization that arises in any community application maximization.

In the excessive strength regime, an easy characterization of the received functionality turns into attainable because the weighted sum fee software converges to an affine asymptote within the logarithmic energy 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 resolution the elemental query of feasibility in quality-of-service established optimizations with inelastic site visitors that includes strict hold up constraints. lower than the belief of linear transceivers, no longer each set of quality-of-service specifications should be possible making the facility minimization challenge with given reduce sure constraints at the price for instance infeasible in those instances. We derive an entire description of the quality-of-service feasibility sector for arbitrary channel matrices.

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Example text

64) to see that there is no intra-user interference also in the dual MIMO MAC. 62) are the same due to the choice of the filters in the dual MAC such that for the equality of the SINRs, we only have to equate the denominators: Li 2 ψk, j · 2 ¯ k H BC ¯ ¯ ¯ |[ B k P i ] j, | + [ B k C η k B k MF MF ¯ iMF H iBC P¯ k ] ψi,2 · |[ B ,j| MF,H ] j, j i =k =1 Li − i =k =1 2 = p¯ k, j 2 2. 3 Rate Duality for Linear Transceivers Under Gaussian Signaling 45 Since above equation has to hold for all L streams of the K users, we end up with the linear system of equations [cf.

W K also leads to modified receive filters. 57) as mentioned before, but allows us to remove the intra-user self-interference and to achieve the mutual information with separate stream decoding: ⎪ ⎪ ⎪ ⎪ MF BC ⎪ IkBC ( P) = log2⎪ ⎪I L k + W H k Bk H k P k W k⎪ ⎪ ⎪ ⎪ BC ¯ ⎪ ⎪ ¯ MF = log2⎪ ⎪I L k + B k H k P k⎪ Lk = log2 BC ¯ ¯ MF IL k + B k Hk Pk j, j j=1 Lk = BC ¯ ¯ MF log2 1 + B k Hk Pk j, j . 58) j=1 For the second equality, we introduced the rotated precoders P¯ k := P k W k ∀k ∈ {1, . . 59) and the matched filter for the rotated precoders H MF ¯ MF B ∀k ∈ {1, .

41) Due to the M-matrix property of Z, a well-defined solution for ϕ21,1 , . . 42) ϕ21,1 , . . , ϕ2K ,L K = Z −1 · t 1,1 22 , . . , t K ,L K 22 . 38), we see that the same sum power BC is dissipated in the BC as in the MAC. 31) constant. 39). 36 3 Dualities for the MIMO BC and the MIMO MAC with Linear Transceivers Synopsis: Any stream-wise MSE and SINR tuple that is feasible in the dual MIMO MAC with linear filtering can also be achieved in the MIMO BC with linear transceivers using the same sum power, if the transmit and receive filter for stream j of user k are chosen as pk, j = ϕk, j g ∗k, j −1 H 2 bTk, j = ϕ−1 k, j t k, j C η k for all users and all streams with ϕ1,1 , .

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

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