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2021 | OriginalPaper | Buchkapitel

A Novel Low-Complexity Orthogonalization Method

verfasst von : Faping Lu, Lucheng Yang, Chuanhui Liu, Jiafang Kang, Zheng Zhang

Erschienen in: Advances in Wireless Communications and Applications

Verlag: Springer Singapore

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Abstract

A novel low-complexity orthogonalization method was proposed for prolate spheroidal wave function (PSWF) signal, taking the parity symmetry of PSWF signal and the intimate connection between parity symmetry and orthogonality in mathematics into account, aiming at reducing the complexity of the existing orthogonalization method. According to the parity symmetry of signal, the signal processing of proposed method divides PSWFs signals into two group signals (one is odd signal and the other is even signal) and then orthogonalizes the two group signals, respectively. Both the mathematical deduction and simulation result show that the proposed method can effectively reduce the algorithm complexity at least 68.38% without compromising other system performance, comparing with conventional orthogonalization method.

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Literatur
1.
Zurück zum Zitat Slepian, D., Pollak, H.O.: Prolate spheroidal wave functions, Fourier analysis, and uncertainty-I. Bell Syst. Tech. J. 20(1), 43–46 (1961)MathSciNetCrossRef Slepian, D., Pollak, H.O.: Prolate spheroidal wave functions, Fourier analysis, and uncertainty-I. Bell Syst. Tech. J. 20(1), 43–46 (1961)MathSciNetCrossRef
2.
Zurück zum Zitat Wang, H.X., Lu, F.P., Liu, C.H., Liu, X., Kang, J.F.: The study of time-frequency characteristics of cross-terms between prolate spheroidal wave function signal. J. Electron. Inf. Technol. 39(6), 1319–1325 (2017) Wang, H.X., Lu, F.P., Liu, C.H., Liu, X., Kang, J.F.: The study of time-frequency characteristics of cross-terms between prolate spheroidal wave function signal. J. Electron. Inf. Technol. 39(6), 1319–1325 (2017)
3.
Zurück zum Zitat Hogan, J.A., Lakey, J.D.: On the numerical evaluation of bandpass prolates II. J. Fourier Anal. Appl. 23(1), 1–16 (2016)MathSciNetMATH Hogan, J.A., Lakey, J.D.: On the numerical evaluation of bandpass prolates II. J. Fourier Anal. Appl. 23(1), 1–16 (2016)MathSciNetMATH
4.
Zurück zum Zitat Dunster, T.M.: Asymptotics of prolate spheroidal wave functions. J. Class. Anal. 11(1), 1–21 (2017)MathSciNetMATH Dunster, T.M.: Asymptotics of prolate spheroidal wave functions. J. Class. Anal. 11(1), 1–21 (2017)MathSciNetMATH
5.
Zurück zum Zitat Zhu, Z.H., Wakin, M.B.: Approximating sampled sinusoids and multiband signals using multiband modulated dpss dictionaries. J. Fourier Anal. Appl. 23(6), 1–48 (2015)MathSciNetMATH Zhu, Z.H., Wakin, M.B.: Approximating sampled sinusoids and multiband signals using multiband modulated dpss dictionaries. J. Fourier Anal. Appl. 23(6), 1–48 (2015)MathSciNetMATH
6.
Zurück zum Zitat Mahata, K., Hyder, M.M.: Frequency estimation from arbitrary time samples. IEEE Trans. Signal Process. 64(21), 5634–5643 (2016)MathSciNetCrossRef Mahata, K., Hyder, M.M.: Frequency estimation from arbitrary time samples. IEEE Trans. Signal Process. 64(21), 5634–5643 (2016)MathSciNetCrossRef
7.
Zurück zum Zitat Sanctis, M.D., Cianca, E., Rossi, T., Sacchi, C., Mucchi, L., Prasad, R.: Waveform design solutions for EHF broadband satellite communications. IEEE Commun. Mag. 53(3), 18–23 (2015)CrossRef Sanctis, M.D., Cianca, E., Rossi, T., Sacchi, C., Mucchi, L., Prasad, R.: Waveform design solutions for EHF broadband satellite communications. IEEE Commun. Mag. 53(3), 18–23 (2015)CrossRef
8.
Zurück zum Zitat Chen, Z.N., Wang, H.X., Zhao, Z.Y., Liu, X.: Novel PSWF-based multidimensional constellation modulation for broadband satellite communication. Wirel. Pers. Commun. 88(3), 493–524 (2016)CrossRef Chen, Z.N., Wang, H.X., Zhao, Z.Y., Liu, X.: Novel PSWF-based multidimensional constellation modulation for broadband satellite communication. Wirel. Pers. Commun. 88(3), 493–524 (2016)CrossRef
9.
Zurück zum Zitat Djordjevic, I.B., Jovanovic, A.Z., Cvijetic, M., Zoran, P.: Multidimensional vector quantization-based signal constellation design enabling beyond 1 pb/s serial optical transport networks. IEEE Photon. J. 5(4), 7901312 (2013)CrossRef Djordjevic, I.B., Jovanovic, A.Z., Cvijetic, M., Zoran, P.: Multidimensional vector quantization-based signal constellation design enabling beyond 1 pb/s serial optical transport networks. IEEE Photon. J. 5(4), 7901312 (2013)CrossRef
10.
Zurück zum Zitat Djordjevic, I.B., Jovanovic, A.Z., Peric, Z.H., Wang, T.: Multidimensional optical transport based on optimized vector-quantization-inspired signal constellation design. IEEE Trans. Commun. 62(9), 3262–3273 (2014)CrossRef Djordjevic, I.B., Jovanovic, A.Z., Peric, Z.H., Wang, T.: Multidimensional optical transport based on optimized vector-quantization-inspired signal constellation design. IEEE Trans. Commun. 62(9), 3262–3273 (2014)CrossRef
11.
Zurück zum Zitat Shen, J., Wang, O., Yu, J.G.: Non-orthogonal Pulse Shape Modulation for Wireless Relay D2D Communication. In: 2017 International Conference on Computing Intelligence and Information System. IEEE, Nanjing, China (2017) Shen, J., Wang, O., Yu, J.G.: Non-orthogonal Pulse Shape Modulation for Wireless Relay D2D Communication. In: 2017 International Conference on Computing Intelligence and Information System. IEEE, Nanjing, China (2017)
12.
Zurück zum Zitat Molotkov, S.N., Potapova, T.A.: Wavefunctions of a prolate spheroid and multiplexing in relativistic quantum cryptography on orthogonal states. JETP Lett. 100(9), 596–603 (2015)CrossRef Molotkov, S.N., Potapova, T.A.: Wavefunctions of a prolate spheroid and multiplexing in relativistic quantum cryptography on orthogonal states. JETP Lett. 100(9), 596–603 (2015)CrossRef
13.
Zurück zum Zitat Landa, B., Shkolnisky, Y.: Steerable principal components for space-frequency localized images. SIAM J. Imaging Sci. 10(2), 508–534 (2017)MathSciNetCrossRef Landa, B., Shkolnisky, Y.: Steerable principal components for space-frequency localized images. SIAM J. Imaging Sci. 10(2), 508–534 (2017)MathSciNetCrossRef
14.
Zurück zum Zitat Zhao, Z.Y., Wang, H.X., Li, H.L., Mao, Z.Y.: Designing method of orthogonal pulse in time domain based on prolate spheroidal wave functions for nonsinusoidal wave communication. J. Electron. Inf. Technol. 31(12), 2912–2916 (2009) Zhao, Z.Y., Wang, H.X., Li, H.L., Mao, Z.Y.: Designing method of orthogonal pulse in time domain based on prolate spheroidal wave functions for nonsinusoidal wave communication. J. Electron. Inf. Technol. 31(12), 2912–2916 (2009)
15.
Zurück zum Zitat Zhang, Z., Wang, H.X., Zhao, Z.Y., Zhang, L., Liu, X.G., Zhang, C.L.: Design of orthogonal pulse for prolate spheroidal wave function based on householder transformation. Telecommun. Eng. 53(11), 1452–1458 (2013) Zhang, Z., Wang, H.X., Zhao, Z.Y., Zhang, L., Liu, X.G., Zhang, C.L.: Design of orthogonal pulse for prolate spheroidal wave function based on householder transformation. Telecommun. Eng. 53(11), 1452–1458 (2013)
16.
Zurück zum Zitat Osipov, A., Rokhlin, V., Xiao, H.: Prolate Spheroidal Wave Functions Of Order Zero. Springer, Boston, US (2013) Osipov, A., Rokhlin, V., Xiao, H.: Prolate Spheroidal Wave Functions Of Order Zero. Springer, Boston, US (2013)
17.
Zurück zum Zitat Zhaonan, Chen, Hongxing, Wang, Peilin, Zhong, Xuejun, Zhang, Chuanhui, Liu: PAPR Suppression of PSWF pulse modulated signal based on givens rotation transform. J. Electron. Inf. Technol. 000(006), 1406–1412 (2013) Zhaonan, Chen, Hongxing, Wang, Peilin, Zhong, Xuejun, Zhang, Chuanhui, Liu: PAPR Suppression of PSWF pulse modulated signal based on givens rotation transform. J. Electron. Inf. Technol. 000(006), 1406–1412 (2013)
Metadaten
Titel
A Novel Low-Complexity Orthogonalization Method
verfasst von
Faping Lu
Lucheng Yang
Chuanhui Liu
Jiafang Kang
Zheng Zhang
Copyright-Jahr
2021
Verlag
Springer Singapore
DOI
https://doi.org/10.1007/978-981-15-5697-5_1

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