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## Near-complementary Sequences With Low PMEPR for Peak Power Control in Multicarrier Communications (2009)

Citations: | 3 - 0 self |

### Citations

161 |
Complementary Series
- Golay
- 1961
(Show Context)
Citation Context ...ower ratio (PAPR) of transmitted signals, which may nullify all the potential benefits [16]. A constructive way for peak power control in multicarrier communications is to use complementary sequences =-=[9]-=- for subcarriers such that the sequences provide low peak-to-mean envelope power ratio (PMEPR) of at most 2 for transmitted signals [17], where the PAPR of the signals is bounded by the PMEPR [10]. A ... |

160 |
Peak-to-Mean Power Control in OFDM, Golay Complementary Sequences, and Reed–Muller Codes
- Davis, Jedwab
- 1999
(Show Context)
Citation Context ...for transmitted signals [17], where the PAPR of the signals is bounded by the PMEPR [10]. A milestone of the theoretical research on the Golay complementary sequences has been set by Davis and Jedwab =-=[6]-=-, where they showed the sequences can be constructed by a coset of the first order Reed-Muller codes. Specifically, they reported that 2 h -ary Golay complementary sequences of length 2 m can be obtai... |

71 | Generalized Reed-Muller codes and power control in OFDM modulation
- Paterson
- 2000
(Show Context)
Citation Context ...form (FFT) techniques. However, multicarrier communications have the major drawback of the high peak-to-average power ratio (PAPR) of transmitted signals, which may nullify all the potential benefits =-=[16]-=-. A constructive way for peak power control in multicarrier communications is to use complementary sequences [9] for subcarriers such that the sequences provide low peak-to-mean envelope power ratio (... |

54 |
Some theorems on Fourier coefficients
- Rudin
- 1959
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Citation Context ...ite value larger than 2. In [13], Parker and Tellambura presented a primitive framework for construction of near-complementary sequences, where they applied the generalized Rudin-Shapiro construction =-=[18]-=-[21] to a pair of starting seed sequences with PMEPR ≤ v for constructing longer near-complementary sequences with PMEPR ≤ v. Based on the work, Schmidt [19] gave an explicit Boolean expression for a ... |

45 | Synthesis of Power Efficient Multitone Signals with Flat Amplitude Spectrum - Popovic - 1991 |

23 | A complete description of Golay pairs for lengths up to 100
- Borwein, Ferguson
(Show Context)
Citation Context ...tary sequences employing the extended Golay pairs. Remark 2: The Golay complementary pairs of length N do not exist if there is a prime p, p ≡ 3 mod 4 such that p | N [7]. Moreover, computer searches =-=[4]-=- refined the admissible sequence lengths for N < 100 by eliminating some lengths where no Golay pairs can be found. Finally, the sequence lengths of N < 100 where the Golay pairs exist are [12] 1, 2, ... |

23 | On cosets of the generalized first-order Reed-Muller code with low PMEPR
- Schmidt
- 2006
(Show Context)
Citation Context ...the generalized Rudin-Shapiro construction [18][21] to a pair of starting seed sequences with PMEPR ≤ v for constructing longer near-complementary sequences with PMEPR ≤ v. Based on the work, Schmidt =-=[19]-=- gave an explicit Boolean expression for a framework of near-complementary sequences of length 2m . In general, near-complementary sequences are expected to produce more sequences than the3 Golay com... |

22 |
The Theory of Error Correcting Codes
- MacWillams, Sloane
- 1977
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Citation Context ..., m) is defined by the set of sequences (or codewords) f of length 2 m associated with f, where f is a generalized Boolean function of degree at most r [6][16]. The classical binary Reed-Muller codes =-=[11]-=-, denoted by RM(r, m), is thus a special case of q = 2. In [6], Davis and Jedwab showed that the7 Golay complementary sequences of length 2 m can be obtained by the second order cosets of the general... |

20 |
Power Control in Multicarrier Communications
- Litsyn, Peak
- 2007
(Show Context)
Citation Context ...nces [9] for subcarriers such that the sequences provide low peak-to-mean envelope power ratio (PMEPR) of at most 2 for transmitted signals [17], where the PAPR of the signals is bounded by the PMEPR =-=[10]-=-. A milestone of the theoretical research on the Golay complementary sequences has been set by Davis and Jedwab [6], where they showed the sequences can be constructed by a coset of the first order Re... |

15 | Generalised Rudin-Shapiro Constructions, ”in WCC 2001, Workshop on Coding and Cryptography
- Parker, Tellambura
- 2001
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Citation Context ... ≤ n − 1} in the increasing order. Then, the PMEPR of f (t) is bounded by PMEPR(f (t) ) ≤ |G1(z)| 2 + |G2(z)| 2 n . (9) We have to mention that the framework for t = 0 is equivalent to the one in [13]=-=[14]-=-. for near-complementary sequences of length n2 m−k . In fact, the framework is a generalization of the results in [13] and [19], motivated by [8]. Before proving Theorem 2, we describe the array stru... |

14 |
for Local and Metropolitan Area Networks, Part 16: Air interface for fixed and mobile broadband wireless access systems, amendment for physical and medium access control layers for combined fixed and mobile operation in licensed bands
- 16e-2005, Standard
- 2006
(Show Context)
Citation Context ...vision multiplexing (OFDM) has been employed as a multiplexing and a multiple access technique in several wireless communication standards such as IEEE802.11 Wireless LAN [1], IEEE802.16 Mobile WiMAX =-=[2]-=-, and 3GPP-LTE [3]. Also, the multicarrier code-division multiple access (MC-CDMA) is of interest as a future wireless multiple access scheme. Their popularity is mainly due to the robustness to multi... |

14 | A Construction for Binary Sequence Sets with Low Peak-to-Average Power Ratio
- Parker, Tellambura
(Show Context)
Citation Context ...uce more sequences than the3 Golay complementary sequences at the cost of the increase of the PMEPR bound. For further researches on Golay complementary sets and near-complementary sequences, see [5]=-=[15]-=-[20]. In this paper, we present a framework of near-complementary sequences of length n2m−k by the explicit Boolean expression and the equivalent array structure. While it transforms the seed pairs of... |

12 | Golay-Davis-Jedwab complementary sequences and RudinShapiro constructions, manuscript
- Parker, Tellambura
- 2001
(Show Context)
Citation Context ...ean expression. As an alternative to Golay complementary sequences, numerous approaches have been made for near-complementary sequences, where the PMEPR is bounded by a finite value larger than 2. In =-=[13]-=-, Parker and Tellambura presented a primitive framework for construction of near-complementary sequences, where they applied the generalized Rudin-Shapiro construction [18][21] to a pair of starting s... |

12 |
Extremal Problems for Polynomials and
- Shapiro
- 1951
(Show Context)
Citation Context ...value larger than 2. In [13], Parker and Tellambura presented a primitive framework for construction of near-complementary sequences, where they applied the generalized Rudin-Shapiro construction [18]=-=[21]-=- to a pair of starting seed sequences with PMEPR ≤ v for constructing longer near-complementary sequences with PMEPR ≤ v. Based on the work, Schmidt [19] gave an explicit Boolean expression for a fram... |

9 | A framework for the construction of Golay sequences
- Fiedler, Jedwab, et al.
- 2008
(Show Context)
Citation Context ...h(1, m). Paterson [16] then presented a unified theory for Golay complementary sets of size 2k+1 , where each sequence in the set has the PMEPR of at most 2k+1 . Recently, Fiedler, Jedwab, and Parker =-=[8]-=- identified a framework of constructions of all known Golay complementary sequences of length 2m by a matrix structure and an explicit Boolean expression. As an alternative to Golay complementary sequ... |

9 | Complementary sets, generalized Reed-Muller codes, and power control for OFDM
- Schmidt
- 2007
(Show Context)
Citation Context ...iently large number of distinct sequences from Construction 2. Also, we observed that the code rate Rdist for a given m is higher than the ones in any other known near-complementary sequences [15][16]=-=[20]-=-. Remark 1: When t = 0, we realize that the near-complementary sequences from Construction 2 are equivalent to the codewords in Golay complementary sets of size 4 and PMEPR ≤ 4 from Construction 14 in... |

6 |
Golay complementary sequences,” Wiley Encyclopedia of Telecommunications, Edited by
- Parker, Paterson, et al.
- 2002
(Show Context)
Citation Context ... pair a and b of length n, respectively. From (1), the sequence pair (a,b) forms a Golay complementary pair if |A(z)| 2 + |B(z)| 2 = 2n. (4) For a brief overview to Golay complementary sequences, see =-=[12]-=-. B. Peak power control in multicarrier communications In multicarrier communications with n subcarriers and q-PSK modulation, the transmitted signal for a q-ary sequence a = (a0, · · · , an−1) can be... |

3 |
Complementary sets and Reed-Muller codes for peak-to-average power ratio reduction
- Chen, Wang, et al.
- 2006
(Show Context)
Citation Context ...roduce more sequences than the3 Golay complementary sequences at the cost of the increase of the PMEPR bound. For further researches on Golay complementary sets and near-complementary sequences, see =-=[5]-=-[15][20]. In this paper, we present a framework of near-complementary sequences of length n2m−k by the explicit Boolean expression and the equivalent array structure. While it transforms the seed pair... |

1 |
A new restriction on the lengths of Goay complementary sequences
- Eliahou, Kervaire, et al.
- 1990
(Show Context)
Citation Context ...he seed pairs. In theoretical aspects, the sequence family of particular lengths can be an interesting example of sequences with low PMEPR for the lengths where no Golay complementary sequences exist =-=[7]-=-. Numerical results show that the new families produce a large number of distinct binary sequences for 5 ≤ m ≤ 7, equivalent to a large number of distinct binary codewords with valid code rates. In pr... |