Abstract
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.
Highlights
We develop the foundations of multipulse multicarrier (MPMC) modulation, a novel wireless communication scheme that extends single-pulse multicarrier (SPMC) systems by using multiple transmit and receive pulses [13]
OFDM/OQAM [9, 20,21,22] can be interpreted as M = 4 MPMC system with real-valued transmit symbols and transmit multipulse g(t) = [g(t) jg(t)e jπt/T jg(t − T/2) g(t − T/2)e jπt/T ]T (see Figure 4(a))
We introduced and analyzed multipulse multicarrier (MPMC) modulation, a generalization of traditional multicarrier modulation that uses multiple transmit and receive pulses in parallel
Summary
Multicarrier modulation [1,2,3] is an attractive technique for high data-rate wireless communications. We develop the foundations of multipulse multicarrier (MPMC) modulation, a novel wireless communication scheme that extends SPMC systems by using multiple transmit and receive pulses [13]. MPMC modulation is similar in spirit to multiwindow Gabor expansions [14] that extend the Gabor expansion [15, 16] by using multiple windows It establishes a unifying framework for the various SPMC systems discussed in Section 1.2 and features increased design freedom which can be used to optimize system performance (cf [17, 18]). As a basis for the introduction of MPMC modulation, we discuss SPMC systems in slightly more detail
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