Sequences with Perfect Periodic Auto and Cross Correlation Properties
نویسندگان
چکیده
منابع مشابه
Perfect periodic correlation sequences
Sequences with the property of perfect periodic autocorrelation are used in various fields such as communication and radar systems. Various methods were introduced to construct such sequences. Most of these methods concentrated on binary or N-phase sequences. In this paper two methods to construct general phase sequences are introduced. The methods are based upon the properties of the Fourier t...
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A perfect sequence has the optimal periodic autocorrelation function where all out-of-phase values are zero, and an orthogonal set has orthogonality that the periodic correlation function for any pair of distinct sequences in the set takes zero at the zero shift. The real-valued perfect sequences of period N = 2 are derived from a real-valued Huffman sequence of length 2 + 1 with ν ≥ n whose ou...
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Frequency-hopping (FH) spread-spectrum techniques employ sequences with Hamming correlation properties meeting suitable criteria. In this correspondence novel families of FH sequences having optimal autoand cross-correlation properties with respect to the well-known Lempel-Greenberger bound are developed through combinatorial product type constructions. This provides us new optimal families of ...
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In this paper we consider chaotic discrete-time systems which generate polyphase sequences. First we give the definition of infinite polyphase sequences with perfect correlation properties. Then a simple design rule for chaotic generators is derived which guarantees that the generated sequences are perfect. Following this rule we construct families of generators of infinite polyphase sequences....
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Sequences with good correlation properties are widely used in engineering applications, especially in the area of communications. Among the known sequences, cyclotomic families have the optimal autocorrelation property. In this paper, we decide the cross-correlation function of the known cyclotomic sequences completely. Moreover, to get our results, the relations between the multiplier group an...
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ژورنال
عنوان ژورنال: Traitement du Signal
سال: 2020
ISSN: 0765-0019,1958-5608
DOI: 10.18280/ts.370315