Abstract
A novel frequency domain multi-carrier modulation (MCM-FD) scheme is proposed based on prolate spheroidal wave functions (PSWFs) for reducing the high complexity in the conventional time domain PSWFs multi-carrier modulation (MCM-PSWFs-TD) schemes. By constructing the relationship between discrete representation and exponential function representation of MCM-PSWFs-TD signals, it can be observed that the orthogonality and parity symmetry of the waveforms of PSWFs in the frequency domain are the same as that in the time domain. Thus, the PSWFs signal can be divided into two groups based on their parity symmetry, while these two groups of PSWFs signals can be processed simultaneously. Based on this concept, signal waveforms with only half spectrum range are invoked in the process of information loading and signal detection for reducing the number of sampling points participated in the signal operation. Compared to the MCM-PSWFs-TD scheme, the proposed MCM-PSWFs-FD scheme is capable of significantly reducing the computational complexity without severely degrading the system performance, such as spectral efficiency (SE), bit error rate performance, signal energy concentration and peak-to-average power ratio (PAPR). Furthermore, the cyclic-prefix orthogonal frequency division multiplexing (CP-OFDM), OFDM with weighted overlap and add (WOLA-OFDM), filter OFDM (F-OFDM), universal filtered multi-carrier (UFMC), as well as the filter bank multi-carrier with offset quadrature amplitude modulation (FBMC-OQAM) are also demonstrated as benchmarks. Simulation results are provided for illustrating that the proposed MCM-PSWFs-FD scheme is capable of striking a favorable tradeoff between the computational complexity and the system performance (i.e. SE, out-of-band energy leakage, adjacent frequency band interference, and PAPR), while the signal waveform design of the MCM-PSWFs-FD scheme is also more concise and flexible than the benchmarks.
Highlights
The generation of mobile communication systems are expected to meet unprecedented high requirements for the ‘‘quality’’, ‘‘quantity"’’ and ‘‘diversity’’ of information transmission [1]–[3]
A variety of time domain multi-carrier modulation schemes based on Prolate spheroidal wave functions (PSWFs) (MCM-PSWFs-TD) have been proposed, such as orthogonal PSWFs modulation method [11], pulse shape modulation based on PSWFs [12], [13], orthogonal carrier modulation based on PSWFs [14], orthogonal PSWFs modulation based on ternary coding [15], multidimensional constellation PSWFs
The cyclic-prefix orthogonal frequency division multiplexing (CP-orthogonal frequency division multiplexing (OFDM)), WOLA-OFDM, filter OFDM (F-OFDM), universal filtered multi-carrier (UFMC), and FBMC-OQAM scheme are demonstrated as benchmarks
Summary
The generation of mobile communication systems are expected to meet unprecedented high requirements for the ‘‘quality’’, ‘‘quantity"’’ and ‘‘diversity’’ of information transmission [1]–[3]. Our previous work [21] separately processes odd symmetric and even symmetric waveforms of PSWFs based on their parity symmetry in the time domain, which is capable of effectively reducing the complexity of the generation and detection of signals. This provides a novel solution for reducing the complexity of MCM-PSWFs system. In the first step, the discrete representation of PSWFs signals in the frequency domain, as well as the relationship between discrete representation and exponential function of the MCM-PSWFs-TD signal are systematically analyzed based on the complete orthogonality and parity symmetry of PSWFs signal in the frequency domain [22] for reducing the number of signal sampling points participated in the signal operation. We propose the MCM-PSWFs-FD scheme, which extends the signal processing from the time domain to the frequency domain for reducing the system complexity
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