Download Analysis and Transceiver Design for the MIMO Broadcast by Raphael Hunger PDF

By Raphael Hunger

This e-book bargains with the optimization-based joint layout of the transmit and obtain filters in MIMO broadcast channel during which the person terminals will be outfitted with numerous antenna components. in addition, the utmost functionality of the approach within the excessive strength regime in addition to the set of all possible quality-of-service specifications 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 very likely hidden convexity can usually be printed.

On the foundation of the validated duality end result, the gradient-projection set of rules is brought as a device to unravel limited optimization difficulties to international optimality less than convinced stipulations. The gradient-projection instrument is then utilized to fixing the weighted sum expense maximization challenge that's a significant optimization that arises in any community application maximization.

In the excessive energy regime, an easy characterization of the got functionality turns into attainable seeing that the weighted sum cost software 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 cost loss that linear transceivers need to face with recognize to soiled paper coding.

In the final half, we solution the basic query of feasibility in quality-of-service established optimizations with inelastic site visitors that includes strict hold up constraints. less than the idea of linear transceivers, no longer each set of quality-of-service requisites should be possible making the ability minimization challenge with given reduce certain constraints at the expense for instance infeasible in those circumstances. We derive an entire description of the quality-of-service feasibility area for arbitrary channel matrices.

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Extra info for Analysis and Transceiver Design for the MIMO Broadcast Channel

Example text

For a single data stream, the transmission rate RSISO depends on the SINR via the bijective mapping [cf. 45)] RSISO = log2 (1 + SINR). 31), the transmission rate of this particular stream reads as BC BC Rk, j ( P, bk, j ) := log2 1 + SINRk, j ( P, bk, j ) . 48) Due to this one-to-one mapping, one might think that a rate duality for linear transceivers directly follows from any SINR duality that is applicable to multi-user MIMO systems. In fact, this approach can be found in [53], where the Lagrangian duality [54] is used to establish a rate duality between the MIMO BC and the MIMO MAC.

2). In addition, the same amount of transmit power has to be dissipated in the BC and in the MAC. , the equalizer filter G in the dual MAC is a scaled version of the Hermitian precoders P H in the BC, and the precoders T in the MAC is a transformed version K ∈ of the Hermitian equalizer filter B H in the BC. The matrix A = blockdiag{ Ak }k=1 M×M C is block-diagonal and invertible. The two degrees of freedom ψ and A can be used to equate εBC and εMAC . 6), we obtain εMAC = L + tr P H H AH B H B AH H P + ψ −2 P H P − P H H AH B H − B AH H P .

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.

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