Abstract
For the sum power constrained MIMO broadcast channel with interference cancelation, two interesting optimizations will be investigated and solved in this chapter. The first one corresponds to the computation of the sum capacity whereas in the second, the weighted sum rate is maximized where arbitrary, nonnegative weights are assigned to the K users.
Keywords
- Covariance Matrice
- Tangent Cone
- Antenna Base Station
- Conjugate Search Direction
- Transmit Covariance Matrice
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- 1.
To show the concavity of \(R^{\mathrm{MAC }}(\varvec{Q})\), the block-diagonal structure of \(\varvec{Q}\) and \(\varvec{V}\) need not be taken into consideration explicitly.
- 2.
In this case, the sum capacity need not necessarily be achievable.
- 3.
For some degenerated cases, the optimum decoding order is not unique. Think of a two user scenario where the two channel matrices are orthogonal such that the two users do not interfere with each other. In this case, the decoding order is arbitrary. However, choosing the decoding order in nondecreasing priorities is always optimal.
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© 2013 Springer-Verlag Berlin Heidelberg
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Hunger, R. (2013). MIMO BC Transceiver Design with Interference Cancelation. In: Analysis and Transceiver Design for the MIMO Broadcast Channel. Foundations in Signal Processing, Communications and Networking, vol 8. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-31692-0_6
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DOI: https://doi.org/10.1007/978-3-642-31692-0_6
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Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-31691-3
Online ISBN: 978-3-642-31692-0
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