Abstract
This paper considers the issue of designing joint optimum precoder and decoder for single-user multiple-input multiple-output system. Most of the previous works on joint precoder and decoder designs are based on the total transmit power constraint (TTPC) with proper modulation techniques. On the other hand, in practice, individual transmit power constraint (ITPC) is more realistic as the power at each antenna at the transmitter is restricted independently by the linearity of the power amplifier. In this paper, a minimum total mean squared error (TMSE) design is formulated as a nonconvex optimization problem under equal power allocation (EPA) and the power constraint that jointly meets both EPA and TTPC (i.e. ITPC). The closed-form optimum linear precoder and decoder for single-user multiple-input multiple-output (SU-MIMO) systems with an improper modulation are determined by solving this nonconvex optimization problem. It considers both the perfect and imperfect channel state information (CSI) is available at both the transmitter and receiver. The simulation results show the performance improvement of the proposed work over conventional work in terms of bit error rate (BER).
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Notes
- 1.
In performing the expectation, the following results are used: \(E[{\mathbf {E}}_{\mathrm {w}}]=E[{\mathbf {E}}_{\mathrm {w}}^{H}]={\mathbf {0}}\), \(E[{\mathbf {E}}_{\mathrm {w}}{\mathbf {AE}}_{\mathrm {w}}^{H}]=\sigma _{\mathrm {ce}}^{2}{\mathrm {tr}}({\mathbf {A}}){\mathbf {I}}_{N}\) and \(E[{\mathbf {E}}_{\mathrm {w}}{\mathbf {AE}}_{\mathrm {w}}^{T}]={\mathbf {0}}\).
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Muthalagu, R. (2018). Design of MIMO System with Individual Transmit Power Constraint and Improper Constellation. In: Barolli, L., Xhafa, F., Conesa, J. (eds) Advances on Broad-Band Wireless Computing, Communication and Applications. BWCCA 2017. Lecture Notes on Data Engineering and Communications Technologies, vol 12. Springer, Cham. https://doi.org/10.1007/978-3-319-69811-3_33
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DOI: https://doi.org/10.1007/978-3-319-69811-3_33
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