“…Really, IM is not limited to the frequency indexing, but extends to multidimensional indexing (space antenna [17]- [19], [21], time, code [22]- [24], radio frequency mirrors [25]- [28] or any communication resources) [29]- [31]. Jointly indexing in multidimensional communication resources exhibits some sparsity degree in the transmitted signal.…”
Jointly enhancing both energy efficiency (EE) and spectrum efficiency (SE) of modulation schemes becomes one of the main issues for 5G mobile communications. Recently, an indexed modulation (IM) technique provides an interesting tradeoff between EE and SE. Data can be conveyed through the combination of subcarriers pattern that can be divided between activated/non-activated subcarriers in the frequency domain. Maximum SE can be attained at half subcarrier activation, hence producing symbols with half energy of the conventional orthogonal frequency-division multiplexing (OFDM) system. In this paper, alternatively, the new concept of sparsely indexing modulation (SIM) on overall subcarrier space is clarified. Sparse (few) subcarrier activations provide much higher EE, while the combinatorial indexing of the sparse subcarriers on the overall subcarriers as a single group spans huge combinatorial space that provides approximately the same SE of the plain OFDM system. The fallacy of indexing difficulty on overall subcarrier space without grouping is resolved. Moreover, a further SE improvement is suggested by introducing permutation-based indexing and combinatorial indexing on over-complete dictionaries. Sparsely indexing represents the cornerstone, which enables compressive sensing tools to enforce IM gains. Based on the conducted simulations, the proposed SIM scheme outperforms the conventional OFDM system in terms of the error performance, the peak-to-average power ratio, and the EE with the same spectral efficiency without channel coding complexity. The proposed SIM scheme is considered one of the energy savingoriented modulations. INDEX TERMS Index modulation, sparse index modulation, OFDM, OFDM-IM, double data/channel sparsity, critical sparsity, combinatorial/permutational indexing, overcomplete/non-orthogonal dictionary indexing, green modulation. The associate editor coordinating the review of this manuscript and approving it for publication was Junaid Shuja. better system processing under compressive sensing (CS) based signal processing approaches. A. GREEN MODULATION Green cellular network relays on the integration of many strategies for minimizing energy at both the base station (BS) and the user equipment (UE) [1], [2]. The growing tendency for employing an energy efficient communication network is accompanied with encountering the unlimited growth in data demands/network capacity [3]. Saving in signal transmission (green radio) represents an essential aspect affecting the overall energy saving. Modulation schemes aims at maximizing both spectral efficiency (SE) and the energy efficiency (EE)
“…Really, IM is not limited to the frequency indexing, but extends to multidimensional indexing (space antenna [17]- [19], [21], time, code [22]- [24], radio frequency mirrors [25]- [28] or any communication resources) [29]- [31]. Jointly indexing in multidimensional communication resources exhibits some sparsity degree in the transmitted signal.…”
Jointly enhancing both energy efficiency (EE) and spectrum efficiency (SE) of modulation schemes becomes one of the main issues for 5G mobile communications. Recently, an indexed modulation (IM) technique provides an interesting tradeoff between EE and SE. Data can be conveyed through the combination of subcarriers pattern that can be divided between activated/non-activated subcarriers in the frequency domain. Maximum SE can be attained at half subcarrier activation, hence producing symbols with half energy of the conventional orthogonal frequency-division multiplexing (OFDM) system. In this paper, alternatively, the new concept of sparsely indexing modulation (SIM) on overall subcarrier space is clarified. Sparse (few) subcarrier activations provide much higher EE, while the combinatorial indexing of the sparse subcarriers on the overall subcarriers as a single group spans huge combinatorial space that provides approximately the same SE of the plain OFDM system. The fallacy of indexing difficulty on overall subcarrier space without grouping is resolved. Moreover, a further SE improvement is suggested by introducing permutation-based indexing and combinatorial indexing on over-complete dictionaries. Sparsely indexing represents the cornerstone, which enables compressive sensing tools to enforce IM gains. Based on the conducted simulations, the proposed SIM scheme outperforms the conventional OFDM system in terms of the error performance, the peak-to-average power ratio, and the EE with the same spectral efficiency without channel coding complexity. The proposed SIM scheme is considered one of the energy savingoriented modulations. INDEX TERMS Index modulation, sparse index modulation, OFDM, OFDM-IM, double data/channel sparsity, critical sparsity, combinatorial/permutational indexing, overcomplete/non-orthogonal dictionary indexing, green modulation. The associate editor coordinating the review of this manuscript and approving it for publication was Junaid Shuja. better system processing under compressive sensing (CS) based signal processing approaches. A. GREEN MODULATION Green cellular network relays on the integration of many strategies for minimizing energy at both the base station (BS) and the user equipment (UE) [1], [2]. The growing tendency for employing an energy efficient communication network is accompanied with encountering the unlimited growth in data demands/network capacity [3]. Saving in signal transmission (green radio) represents an essential aspect affecting the overall energy saving. Modulation schemes aims at maximizing both spectral efficiency (SE) and the energy efficiency (EE)
“…e fourth-generation wireless communication uses OFDM as the basic modulation method, and rectangular signals are used as the baseband to transmit signals. e out-of-band radiation is extremely high although the transmission efficiency is improved; therefore, the band utilization still needs further improvement [13][14][15][16]. Many scholars have also optimized the design of the OFDM spectrum utilization algorithm.…”
In this paper, the optimal mathematical generic function model is established using the minimum out-of-band energy radiation criterion. Firstly, the energy limit conditions, boundary constraints, and peak-to-average ratio constraints are applied to the generic function model; thus, the analytical solutions are obtained under different parameters. Secondly, a single symbol signal energy constraint condition and boundary constraint condition are added to the generic function model; thus, the numerical solution of the different parameters is obtained. In the process of solving the analytical solution, the partial solution process is simplified to solve the analytical solution, and there are also digital truncation problems. In addition, the corresponding order of the Lagrange differential equation increases by a multiple of 2 when the parameter n increases, which makes the solution extremely complicated or even impossible to solve. The numerical solution is in line with the current development trend of digital communication, and there is no need to simplify the solution process in the process of solving the numerical solution. When the parameter n and the Fourier series m take different values, the obtained symbol signals can also meet the needs of different communication occasions. The relevant data of the above research process were solved by a MATLAB software simulation, which proves the correctness of the method and the superiority of the numerical method.
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