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In this paper, a time-delay structure is included in the neural network architecture to emulate the memory effects of wideband wireless transmitters. A simplified analysis approach is proposed to illustrate that the Real-Valued Time-Delay Neural Network (RVTDNN) is one of the most promising neural networks for modeling a complex dynamic nonlinear system. Then the RVTDNN is utilized to build the complex signal dynamic behavioral model of a wideband transmitter. Finally, a behavioral model with three-layer RVTDNN is employed in an experimental system to demonstrate the effectiveness of RVTDNNs in mimicking the dynamic behaviors of a wideband wireless transmitter.