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A Novel Low-Complexity Orthogonalization Method

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Advances in Wireless Communications and Applications

Part of the book series: Smart Innovation, Systems and Technologies ((SIST,volume 190))

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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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Correspondence to Chuanhui Liu .

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Lu, F., Yang, L., Liu, C., Kang, J., Zhang, Z. (2021). A Novel Low-Complexity Orthogonalization Method. In: Kountchev, R., Mahanti, A., Chong, S., Patnaik, S., Favorskaya, M. (eds) Advances in Wireless Communications and Applications. Smart Innovation, Systems and Technologies, vol 190. Springer, Singapore. https://doi.org/10.1007/978-981-15-5697-5_1

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  • DOI: https://doi.org/10.1007/978-981-15-5697-5_1

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  • Publisher Name: Springer, Singapore

  • Print ISBN: 978-981-15-5696-8

  • Online ISBN: 978-981-15-5697-5

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