On Integer-Valued Almost-Perfect Sequences

In this letter, a new class of integer-valued sequences with almost-perfect periodic autocorrelation function is proposed. To construct these sequences, two groups of base sequences with two and four base sequences in each group are developed, and each base sequence is generated from a generalized H...

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Bibliographic Details
Published inIEEE communications letters Vol. 19; no. 2; pp. 171 - 174
Main Author Hu, Wei-Wen
Format Journal Article
LanguageEnglish
Published New York IEEE 01.02.2015
The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subjects
Computers
Correlation
Hadamard matrix
integer-valued
Memory management
Peak to average power ratio
periodic autocorrelation function
Quantization (signal)
Systematics
Vectors
Hadamard matrix
periodic autocorrelation function (PACFs)
base sequences
Integer-valued
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Summary:In this letter, a new class of integer-valued sequences with almost-perfect periodic autocorrelation function is proposed. To construct these sequences, two groups of base sequences with two and four base sequences in each group are developed, and each base sequence is generated from a generalized Hadamard matrix. The new constructed sequences are the sum of the linear combinations of base sequences. Compared with existing almost-perfect sequences whose elements are complex floating-point numbers, integer-valued almost-perfect sequences have the advantages of error-free quantization and less memory space for implementation. In addition, the energy efficiency of a sequence is derived from theoretical expressions. The optimality criteria for coefficients are also obtained to maximize energy efficiency.
ISSN:1089-7798
1558-2558
DOI:10.1109/LCOMM.2014.2381228