Wavelet packet division multiplexing (WPDM) is a high capacity, flexible and robust orthogonal multiplexing technique in which wavelet packet basis functions are chosen as the coding waveforms. This paper simulates different types of signals of wavelet packet division multiplexing transmitter-receiver system operating in additive white Gaussian noise (AWGN). The interference caused by timing offset in transmission is also examined by Monte Carlo simulation method to indicate that wavelet packets appear to be promising waveforms in multiple signal transmission techniques.