By investigating the properties that the offsets should satisfy, this letter presents a brief proof of general QAM Golay complementary sequences (GCSs) in Cases I-III constructions. Our aim is to provide a brief, clea...
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By investigating the properties that the offsets should satisfy, this letter presents a brief proof of general QAM Golay complementary sequences (GCSs) in Cases I-III constructions. Our aim is to provide a brief, clear, and intelligible derivation so that it is easy for the reader to understand the known Cases I-III constructions of general QAM GCSs.
Based on the description Q-type-2 of quadrature amplitude modulation (QAM) constellation and standard Golay-Davis-Jedwab (GDJ) quaternary complementary sequences (CSs), this paper presents a new family of QAM Golay co...
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ISBN:
(纸本)9781509037117
Based on the description Q-type-2 of quadrature amplitude modulation (QAM) constellation and standard Golay-Davis-Jedwab (GDJ) quaternary complementary sequences (CSs), this paper presents a new family of QAM Golay complementary sequences (GCSs), and determines their family size. The proposed QAM GCSs includes the known QAM GCSs from Cases I-III constructions as a special case. It is worthy of mentioning that the family size of new sequences is fairly larger than the one of the known sequences so that the code rate of the code consisting of new sequences is improved, which therefrom results in the increase of number of sub-carriers in OFDM communication systems employing the resultant QAM GCSs. More clearly, in a 64-QAM OFDM communication system whose signals are encoded by QAM GCSs, the number of sub-carriers in this system is at most 16 when the known QAM GCSs from Cases I-III constructions are employed. However, such number can be increased up to 32 when the proposed QAM GCSs are used. Finally, it should be pointed out that the peak envelope power (PEP) upper bounds, educed from the usage of both new and known QAM GCSs in an OFDM communication system, are the same.
The given examples show that the standard 16-QAM Golay-Davis-Jedwab (GDJ) complementary sequences (CSs) cannot be yielded whenever the non-standard generalized boolean functions (GBFs) are fed to Chong, et al's co...
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ISBN:
(纸本)9781479973392
The given examples show that the standard 16-QAM Golay-Davis-Jedwab (GDJ) complementary sequences (CSs) cannot be yielded whenever the non-standard generalized boolean functions (GBFs) are fed to Chong, et al's construction. Due to the fact that there exist a large number of the non-standard GBFs available, this paper focuses on the conversion from a non-standard GBF to 16-QAM CSs. By improving Chong, et al's construction, we present a new construction in which one of its inputs is the non-standard GBFs. For a given non-standard GBF, the number of the resultant 16-QAM CSs is determined as well. The proposed sequences can be applied to a CDMA or an OFDM communication system so as to remove multiple access interference (MAI) or to reduce peak-to-mean envelope power ratio (PMEPR), respectively.
New quadratic bent functions in polynomial form are constructed in this paper. The constructions give new boolean bent, generalizedboolean bent and p-ary bent functions. Based on Z(4)-valued quadratic forms, a simple...
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New quadratic bent functions in polynomial form are constructed in this paper. The constructions give new boolean bent, generalizedboolean bent and p-ary bent functions. Based on Z(4)-valued quadratic forms, a simple method provides several new constructions of generalizedboolean bent functions. From these generalizedboolean bent functions a method is presented to transform them into boolean bent and semi-bent functions. Moreover, many new p-ary bent functions can also be obtained by applying similar methods.
Based on the non-standard generalized boolean functions (GBFs) over Z(4), we propose a new method to convert those functions into the 16-QAM Go lay complementary sequences (CSs). The resultant 16-QAM Go lay CSs have t...
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Based on the non-standard generalized boolean functions (GBFs) over Z(4), we propose a new method to convert those functions into the 16-QAM Go lay complementary sequences (CSs). The resultant 16-QAM Go lay CSs have the upper bound of peak-to-mean envelope power ratio (PMEPR) as low as 2. In addition, we obtain multiple 16-QAM Go lay CSs for a given quadrature phase shift keying (QPSK) Go lay CS.
This letter discusses the construction of 16-quadratic-amplitude modulation (QAM) Golay complementary sequences of length N = 2(m). Based on the standard binary Golay-Davis-Jedwab (GDJ) complementary sequences (CSs), ...
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This letter discusses the construction of 16-quadratic-amplitude modulation (QAM) Golay complementary sequences of length N = 2(m). Based on the standard binary Golay-Davis-Jedwab (GDJ) complementary sequences (CSs), we present a method to convert the aforementioned GDJ CSs into the required sequences. The resultant sequences have the upper bounds 3.6N, 2.8N, 2N, 1.2N, and 0.4N of peak envelope powers, respectively, depending on the choices of their offsets. The numbers of the proposed sequences, corresponding to five upper bounds referred to above, are (24m - 16)(m!/2)(2m+1), 128(m - 1)(m!/2)(2m+1), (176m - 160)(m!/2)(2m+1), 128(m - 1)(m!/2)(2m+1), and (24m - 16)(m!/2)(2m+1). Our sequences can be potentially applied to the QAM systems whose input signals are binary signals.
Recently Golay complementary sets were shown to exist in the subsets of second-order cosets of a q-ary generalization of the first-order Reed-Muller (RM) code. We show that mutually orthogonal Golay complementary sets...
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Recently Golay complementary sets were shown to exist in the subsets of second-order cosets of a q-ary generalization of the first-order Reed-Muller (RM) code. We show that mutually orthogonal Golay complementary sets can also be directly constructed from second-order cosets of a q-ary generalization of the first-order RM code. This identification can be used to construct zero correlation zone (ZCZ) sequences directly and it also enables the construction of ZCZ sequences with special subsets.
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