This paper improves the family size of quadrature amplitude modulation (QAM) complementary sequences with binary inputs. By employing new mathematical description: B-type-2 of 4(q)-QAM constellation (integer q >= 2...
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This paper improves the family size of quadrature amplitude modulation (QAM) complementary sequences with binary inputs. By employing new mathematical description: B-type-2 of 4(q)-QAM constellation (integer q >= 2), a new construction yielding 4(q)-QAM complementary sequences (CSs) with length 2(m) (integer m >= 2) is developed. The resultant sequences include the known QAM CSs with binary inputs as special cases, and the family sizes of new sequences are approximately 2(2.2q) (4q) (1) (2(2.2q) (3) - 1) times as many as the known. Also, both new sequences and the known have the same the peak envelope power (PEP) upper bounds, when they are used in an orthogonal frequency-division multiplexing communication system.
Quadrature amplitude modulation (QAM) Golay complementary sequences (GCSs) are widely applied to communications, in particular, QAM GCSs can efficiently control peak envelope power (PEP) of transmitted signals in an o...
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ISBN:
(纸本)9781728121840
Quadrature amplitude modulation (QAM) Golay complementary sequences (GCSs) are widely applied to communications, in particular, QAM GCSs can efficiently control peak envelope power (PEP) of transmitted signals in an orthogonal frequency division multiplexing (OFDM) communication system. In this paper, a new family of 16-QAM GCSs is presented, and the resultant sequences have the same PEP upper bounds as the known 16-QAM GCSs. It should be noted that new sequences have the larger family size than the known sequences, which results in the increase of the relevant code rate. Hence, the proposed sequences are good candidates for the applications of OFDM communication systems.
In this paper, we present a new family of cross Z-complementary pairs (CZCPs) based on generalized boolean functions and two roots of unity. Our key idea is to consider an arbitrary partition of the set {1, 2, center ...
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ISBN:
(纸本)9781665421607;9781665421591
In this paper, we present a new family of cross Z-complementary pairs (CZCPs) based on generalized boolean functions and two roots of unity. Our key idea is to consider an arbitrary partition of the set {1, 2, center dot center dot center dot, n} with two subsets corresponding to two given roots of unity for which two truncated sequences of new alphabet size determined by the two roots of unity are obtained. We show that these two truncated sequences form a new q-ary CZCP with flexible sequence length and large zero-correlation zone width. Furthermore, we derive an enumeration formula by considering the Stirling number of the second kind for the partitions and show that the number of constructed CZCPs increases significantly compared to the existing works.
Correlation-immune (CI) multi-output booleanfunctions have the property of keeping the same output distributions when some input variables are fixed. Recently, a new application of CI functions has appeared in the sy...
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Correlation-immune (CI) multi-output booleanfunctions have the property of keeping the same output distributions when some input variables are fixed. Recently, a new application of CI functions has appeared in the system of resisting side-channel attacks (SCA). In this paper, three new methods are proposed to characterize the tth-order CI multi-output (n-input and m-output) booleanfunctions. The first characterization is to regard the multi-output booleanfunctions as the corresponding generalized boolean functions. It is shown that a generalized boolean function f(g) is a tth-order CI function if and only if the Walsh transform of f(g) defined here vanishes at all points with Hamming weights between 1 and t. The last two methods are generalized from Fourier spectral characterizations. Especially, Fourier spectral characterizations are efficient to characterize the symmetric multi-output CI booleanfunctions. (C) 2020 Elsevier B.V. All rights reserved.
A novel family of quadrature amplitude modulation (QAM) Golay complementary sequences (GCSs), in this paper, is presented. The resultant QAM GCSs employ binary signals rather than quaternary signals as their inputs. N...
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ISBN:
(纸本)9781509037117
A novel family of quadrature amplitude modulation (QAM) Golay complementary sequences (GCSs), in this paper, is presented. The resultant QAM GCSs employ binary signals rather than quaternary signals as their inputs. New sequences are fit for being applied to such QAM systems whose inputs merely are binary signals. In addition, the proposed sequences have the larger family size than the previously-known relevant sequences with the same peak envelope power (PEP) upper bounds.
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.
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