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A New Method for Designing Perfect Gaussian Integer Sequences Embedded with Preset Gaussian Integers

A design method and integer technology, applied in the field of perfect Gaussian integer sequence generation, can solve problems such as unguaranteed Gaussian integers

Inactive Publication Date: 2021-06-04
CHONGQING TECH & BUSINESS UNIV
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  • Abstract
  • Description
  • Claims
  • Application Information

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Problems solved by technology

However, these generation methods are not guaranteed to embed preset Gaussian integers in the sequence

Method used

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  • A New Method for Designing Perfect Gaussian Integer Sequences Embedded with Preset Gaussian Integers
  • A New Method for Designing Perfect Gaussian Integer Sequences Embedded with Preset Gaussian Integers
  • A New Method for Designing Perfect Gaussian Integer Sequences Embedded with Preset Gaussian Integers

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Embodiment Construction

[0021] figure 1 Shows the schematic structural block diagram of the perfect Gaussian integer sequence design embedded with preset Gaussian integers in the present invention, which is composed of 3N registers, wherein, N is an even number, and (N, 3)=1, and the 3N registers are in accordance with figure 2 The ways shown are numbered from left to right: 0 to 3N-1, respectively marked as A 0 -A 3N-1 , the storage content of each register forms a sequence with a period of 3N in order from left to right A =(A 0 , A 1 , A 2 ,...,A 3N-1 ), in addition, these 3N registers are divided into three parts by number: specific number 1, specific number 2 and remaining number, specific number specific number The working principle of the present invention is as follows:

[0022] The first step is to determine the period 3N of the required sequence, where N is an even number, and (N, 3)=1, and the Gaussian integer c=n is preset 1 +n 2 j;

[0023] The second step is to initialize...

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Abstract

The present invention discloses a new method for designing a perfect Gaussian integer sequence embedded with preset Gaussian integers. The obtained sequence has a period of 3N, where N is an even number, and (N, 3)=1, and has an impulse-like autocorrelation function. For any Gaussian integer c=n preset by the sequence designer 1 +n 2 j(j 2 =-1), N-2 c are embedded in the perfect Gaussian integer sequence produced by the method of the present invention as code elements. The invention can be applied to signal processing, communication system and large-scale integrated circuit test.

Description

technical field [0001] The invention belongs to a signal design and generation technology, in particular to a method for generating a perfect Gaussian integer sequence embedded with preset Gaussian integers. Background technique [0002] A perfect sequence is one that has similar impulse autocorrelation. Perfect sequences can be applied for synchronization of communications, as radar signals, etc. Based on binary constellations, four-phase constellations, 16-constellations and Gaussian integer sets, binary perfect sequences, four-phase perfect sequences, 16-QAM perfect sequences and Gaussian integer perfect sequences can be obtained respectively (S.W.Golomb and G.Gong, "Sequence design for good correlation for wireless communication, cryptography, and Radar,” Cambridge University Press, pp.419-421, 2005) (F.X.Zeng, Z.Y.Zhang, and L.J.Qian, “Perfect 16-QAM arrays and sequences,” IEICE Trans.onFundamentals , vol.E98-A, no.4, pp.1038-1043, Apr.2012). [0003] If both real an...

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Application Information

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Patent Type & Authority Patents(China)
IPC IPC(8): H04J13/00H04J13/10
CPCH04J13/0007H04J13/10
Inventor 曾凡鑫何希平宣贵新张振宇李国军钱林杰彭燕妮晏力
Owner CHONGQING TECH & BUSINESS UNIV
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