Wireless Multicarrier Communications via Multipulse Gabor Riesz Bases

We introduce multipulse multicarrier (MPMC) modulation, a wireless communication scheme that augments traditional single-pulse multicarrier systems by using multiple pulses at the transmitter and the receiver. The mathematical foundation of MPMC systems is established by the novel concept of multipulse Gabor Riesz bases. We adapt Zak-Fourier domain tools previously developed for multiwindow Gabor frames to analyze and design (bi)orthogonal multipulse Gabor Riesz bases and the corresponding MPMC systems in a computationally efficient manner. Furthermore, explicit expressions for the interference power and the spectral efficiency in MPMC transmissions over time-varying multipath channels are derived. The superiority of MPMC modulation over single-pulse multicarrier systems is finally demonstrated via numerical simulations.