An optimal design method for noisy transmultiplexer systems is presented. For a transmultiplexer
system with given transmitters and desired crosstalk attenuation, we address the problem
of minimizing the reconstruction error while ensuring that the crosstalk of each band
is below a prescribed level. By employing the mixed
optimization, we will ensure that the system with suboptimal reconstruction error
is more robust and less sensitive to the changes of input signals and channel noises.
Due to the overlapping of adjacent subchannels, crosstalk between adjacent channels
is expected. And the problem of crosstalk attenuation is formulated as an
optimization problem, solved in terms of linear matrix inequalities (LMIs). The simulation
examples demonstrate that the proposed design performs better than existing design
methods.
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