Principles of Linear MIMO Receivers

  • Joachim SpeidelEmail author
Part of the Signals and Communication Technology book series (SCT)


As depicted in the block diagram of Fig. 18.1, we consider a MIMO system with frequency flat and in general time-varying channel with channel matrix \(\varvec{\mathrm {H}}(k)\,\epsilon \,\mathbb {C}^{N\mathrm {x}M}\), input signal vector \(\varvec{\mathrm {s}}(k)\,\epsilon \,\mathbb {C}^{M\mathrm {x}1}\), noise vector \(\varvec{\mathrm {n}}(k)\,\epsilon \,\mathbb {C}^{N\mathrm {x}1}\), and receive vector \(\varvec{\mathrm {r}}(k)\,\epsilon \,\mathbb {C}^{N\mathrm {x}1}\). At the receiver, a linear filter described by a matrix \(\varvec{\mathrm {W}}(k)\,\epsilon \,\mathbb {C}^{M\mathrm {x}N}\) is employed to obtain at its output a good replica \(\varvec{\mathrm {y}}(k)\) of the transmit signal vector \(\mathrm {\varvec{s}}(k)\). We assume that a channel estimator not shown in Fig. 18.1 has provided perfect channel state information so that the instantaneous channel matrix \(\mathbf {H}(k)\) is known for every discrete-time instant k at the receiver.


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© Springer Nature Switzerland AG 2019

Authors and Affiliations

  1. 1.Institute of TelecommunicationsUniversity of StuttgartStuttgart, Baden-WurttembergGermany

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