Complete Mutually Orthogonal Golay Complementary Sets From Reed-Muller Codes
نویسندگان
چکیده
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.
منابع مشابه
Generalized Reed-Muller codes and power control in OFDM modulation
Controlling the peak-to-mean envelope power ratio (PMEPR) of Orthogonal Frequency Division Multiplexed (OFDM) transmissions is a notoriously di cult problem, though one which is of vital importance for the practical application of OFDM in low-cost applications. The utility of Golay complementary sequences in solving this problem has been recognised for some time. In this paper, a powerful theor...
متن کاملComplementary Sets, Generalized Reed-Muller Codes, and Power Control for OFDM
The use of error-correcting codes for tight control of the peak-to-mean envelope power ratio (PMEPR) in orthogonal frequency-division multiplexing (OFDM) transmission is considered in this correspondence. By generalizing a result by Paterson, it is shown that each q-phase (q is even) sequence of length 2 lies in a complementary set of size 2, where k is a nonnegative integer that can be easily ...
متن کاملCodes, Correlations and Power Control in OFDM
power, envelope, OFDM, Reed-Muller, code, Golay, complementary, sequence, pair, set Practical communications engineering is continuously producing problems in interest to the coding theory community. A recent example is the power-control problem in Orthogonal Frequency Division Multiplexing (OFDM). We report recent work which gives a mathematical framework for generating solutions to this notor...
متن کاملA Performance Comparison of Golay and Reed-Muller Coded OFDM Signal for Peak-to-Average Power Ratio Reduction
Multicarrier transmission system such as Orthogonal Frequency Division Multiplexing (OFDM) is a promising technique for high bit rate transmission in wireless communication systems. OFDM is a spectrally efficient modulation technique that can achieve high speed data transmission over multipath fading channels without the need for powerful equalization techniques. A major drawback of OFDM is the...
متن کاملQuadrature Amplitude Modulated Codes for Orthogonal Frequency Division Multiplexing Applications
The development of next generation of high-speed mobile communication systems requires cost-effective transmission techniques. Orthogonal Frequency Division Multiplexing (OFDM) is a transmission scheme that has gathered much attention lately for its high performance at comparably low complexity. It has already been adapted in the European radio(DAB)and TV(DVB-T)standards, and IEEE 802.11a. Desp...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید
ثبت ناماگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید
ورودعنوان ژورنال:
- IEEE Trans. Information Theory
دوره 54 شماره
صفحات -
تاریخ انتشار 2008