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The second term on the r.h.s. now describes the interference. Essentially, the RX processing means the creation of an effective channel W(k) H(k) for each user. Changing this effective channel indirectly requires changes in the transmit beamforming matrix as well. The computation of the weights T and W thus has to be done in an iterative fashion: start out with a set W(k) (e.g., the weights for maximum-ratio combining at the k-th MS), and compute the optimum transmit weights according to one of the strategies described above. With the new T compute the signal statistics at the MSs, and recompute the optimum linear weights according to a certain criterion (e.g., MMSE). These new RX weights create a new set of effective channel, which then forms the basis for a recomputation of T, and so on. The iteration is stopped when the weights (or the performance measures) do not change appreciably anymore. Figure 20.22 shows the capacity for various types of precoding. We see that with a pure channel inversion, the capacity rst increases as the number of users increases, but then starts to decrease again as K starts to approach the number of antenna elements at the BS. This is due to the increased probability of an ill-conditioned channel matrix. When the RX has more antennas, the difference between channel inversion and regularized channel inversion (see below) becomes much smaller (see Figure 20.23). Joint Wiener Filtering Block diagonalization can be seen as a generalization of zero-forcing. Similarly, channel regularization (which aims to minimize the MSE at the RX) can be generalized to joint Wiener ltering. The MSE (MSE) metric is, as usual, de ned as MSEk = E rk zk

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Device Manager is like a kindergarten teacher with 30 students. Most of the time the students obey the teacher and are well behaved, but when disruption breaks out it affects the whole class. Behind the desktop,

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Two representative RFIC systems, both using two RF chips and a few external components, are described in this chapter. The rst is a wireless LAN transceiver operating in the 2.4 2.5 GHz band. The second is a cellular phone transceiver operating as a GSM, General Packet Radio Service (GPRS), or EDGE system in any one of the 800, 900, 1800, or 2100 MHz cellular phone bands. (These different kinds of cell phone systems are discussed in s 30 and 31.)

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