The bandwidth efficiency and ability to combat the effects of frequency selective channels are critical issues in the design of new digital modulation schemes. To improve the bandwidth utilization and to avoid the inter symbol interference (ISI) caused by the time dispersion in the channel, a new multi-wavelet packets modulation (MWPM) scheme is proposed in this paper. The MWPM is based on the orthogonal multi-wavelet packets (MWP). In particular, the orthogonality in MWP is exploited to guarantee the demodulation of the overlapped MWP coded signals in time and frequency domains. A practical implementation of the MWPM transceiver is proposed by employing the matrix filter banks. The bandwidth efficiency is increased r times for MWP with multiplicity r compared to the scalar wavelet packet modulation or the conventional fast Fourier transform (FFT) based orthogonal frequency division multiplexing (OFDM) system. Similarly, as these prototype schemes, the MWPM is implementable either as a binary or a multilevel scheme. As a multi-carrier modulation, MWPM can mitigate the time dispersiveness in the channel effectively because the symbol duration can be extended as required by the flexible structure of MWPM.

Using two orthogonal MWP introduced in [8] and [3] which are referred to in this paper after their inventors? initials as GHM and CL MWP, respectively, the corresponding MWPM are constructed. The performance for these MWPM in additive white Gaussian noise (AWGN) and flat Rayleigh fading channels is analyzed and simulated using Monte Carlo methods, where the binary phase shift keying (BPSK) is used in each subcarrier. The simulation results demonstrate the effectiveness of the proposed MWPM scheme.