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Method for generating perfect 16-QAM (quadrature amplitude modulation) sequence

A 16-QAM, sequence technology, applied in the field of perfect 16-QAM sequence generation, can solve the problem of not being able to generate perfect 16-QAM sequence

Inactive Publication Date: 2014-04-23
CHONGQING UNIV
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  • Application Information

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Problems solved by technology

However, none of the above methods can generate perfect 16-QAM sequences

Method used

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  • Method for generating perfect 16-QAM (quadrature amplitude modulation) sequence
  • Method for generating perfect 16-QAM (quadrature amplitude modulation) sequence
  • Method for generating perfect 16-QAM (quadrature amplitude modulation) sequence

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example 1

[0046] Example 1: In the following literature

[0047] F.X.Zeng.New perfect polyphase sequences and mutually orthogonal ZCZ polyphase sequence sets.IEICE Trans Fundamentals, vol.E92-A, No.7, July2009, pp.1731—1736 Take a perfect four-phase sequence of length N=16:

[0048] (0 0 0 0 1 0 3 2 2 0 2 0 3 0 1 2)

[0049] According to the "serial time difference half-period method" of the present invention, select

[0050] δ 1 =3, δ 2 =11

[0051] very obvious

[0052] δ 1 -δ 2 ≡0(mod8)

[0053] Satisfies the condition of "serial time difference half-period method".

[0054] According to the method of the present invention, the 16-QAM sequence that produces is:

[0055] (1+3i, 1-3i, 1+3i, -1+3i, -1-3i, 3+i, 1+3i, 3+i, 1+3i, -1+3i, 1+3i, 1- 3i, -1-3i, -3-i, 1+3i, -3-i)

[0056] After calculation, the autocorrelation function of the obtained 16-QAM sequence is as follows figure 2 As shown, it shows that the obtained 16-QAM sequence is a perfect sequence.

[0057] theore...

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Abstract

The invention discloses a method and device for generating a perfect 16-QAM (quadrature amplitude modulation) sequence. Under the constraint of a sequence time difference binary periodic method, one perfect four-phase sequence can generate two perfect four-phase sequences with equivalent cyclic shift; the two perfect four-phase sequences are respectively subjected to a code element power operation and a product operation with two different complex constants; and then an add operation is carried out to obtain the perfect 16-QAM sequence. The obtained perfect 16-QAM sequence has an impulse periodic autocorrelation function and can be applied to the applications of the synchronization of the communication system and the like.

Description

technical field [0001] The invention belongs to a communication signal design technology, in particular to a method for generating a perfect 16-QAM sequence that can realize the synchronization of a communication system using a 16-QAM constellation. Background technique [0002] Using M 2 The communication system of -QAM constellation has the characteristics of high spectrum efficiency, high data transmission rate, and excellent system capacity, which brings broad application prospects for the next generation of mobile communications. Like the traditional communication system, the synchronization problem of the communication system is still the primary problem that the communication system using the QAM constellation must solve. Traditionally, using perfect sequences with impulse autocorrelation properties is one of the main means to achieve synchronization in communication systems. In the third generation partnership project (3GPP, 3 rd generation partnership project), i...

Claims

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Application Information

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Patent Type & Authority Patents(China)
IPC IPC(8): H04L27/34
Inventor 曾凡鑫曾孝平张振宇宣贵新
Owner CHONGQING UNIV