Introduction to Digital Communications pp 193-202 | Cite as

# Principles of Nonlinear MIMO Receivers

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## Abstract

As we have seen in the previous chapter, a linear receiver tries to reduce the impact of inter-channel interference and partially of the noise in the receive signal \(\mathbf {y}(k)\) of Fig. 18.1. Next, the signal is subject to a decision also called detection to recover the QAM symbols in each component \(y_{i}(k)\). Various decision strategies are known from communications theory and outlined in Part I. In this section, we will consider a Maximum Likelihood (ML) detector as a receiver. In contrast to the linear receiver, the signal \(\hat{\mathbf {s}}(k)\) will be estimated directly from the receive vector

$$\begin{aligned} \mathbf {r}(k)=\left( \begin{array}{cccc} r_{1}(k)&r_{2}(k)&\cdots&r_{N}(k)\end{array}\right) ^{T} \end{aligned}$$

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