OFDM peak-to-average ratio suppression method based on alternating direction multiplier method

A technology of alternating direction multiplier and peak-to-average ratio suppression, which is applied in the field of OFDM peak-to-average ratio suppression based on the alternating direction multiplier method, can solve the problems of high computational complexity and reduce the peak-to-average ratio of OFDM signals, and achieve computational complexity Low, reduce the bit error rate, the effect of excellent bit error performance

Active Publication Date: 2018-06-15
XIDIAN UNIV +1
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Problems solved by technology

Semi-positive definite programming is another important optimization method. Yongchao Wang et al. used this method to relax the non-convex quadratic optimization model. The optimized OFDM signal has a constant peak-to-average ratio and a better sys

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  • OFDM peak-to-average ratio suppression method based on alternating direction multiplier method
  • OFDM peak-to-average ratio suppression method based on alternating direction multiplier method
  • OFDM peak-to-average ratio suppression method based on alternating direction multiplier method

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Example Embodiment

[0028] Example 1

[0029] Orthogonal frequency division multiplexing, OFDM, is an important multi-carrier modulation technology, which has been widely used in modern wireless communication systems. One of the biggest shortcomings of OFDM is that it causes the peak-to-average ratio of the signal to be relatively large. However, the power amplifier of the transmitter is limited in power, and a large peak-to-average ratio will cause the power amplifier to enter the nonlinear saturation region, causing in-band interference and out-of-band radiation to occur in the signal. Some methods in the prior art can effectively reduce the peak-to-average ratio of the OFDM signal, and at the same time obtain a better system error rate, but their computational complexity is relatively high, which hinders practical engineering applications. The present invention has carried out research on this, taking minimizing data carrier interference as the objective function, peak-to-average ratio and free ...

Example Embodiment

[0038] Example 2

[0039] The OFDM peak-to-average ratio suppression method based on the alternating direction multiplier method is the same as that of the embodiment 1. The optimization described in step (3) with one of the two solutions is modeling, solving, and obtaining the optimal solution. The modeling and solving process of 1 includes the following steps:

[0040] (3.1.a) Establish a direct model: the objective function is set to minimize the data carrier interference, and the following direct model is established with the peak-to-average ratio and free carrier power as the constraints, which is the model :

[0041] Objective function:

[0042] Restrictions:

[0043]

[0044] Ac=x

[0045] Among them, N is the number of subcarriers, l is the oversampling factor, c∈C N Represents OFDM frequency domain signal, x∈C lN Represents the corresponding time domain signal. In the objective function, c represents the optimized OFDM signal, c o Is the original OFDM signal; S D Is a bina...

Example Embodiment

[0064] Example 3

[0065] The method for suppressing the OFDM peak-to-average ratio based on the alternating direction multiplier method is the same as that in the embodiment 1-2. The modeling of the scheme 2 of the present invention includes the following steps:

[0066] (3.2.a) Establish a relaxation model: introduce two auxiliary variables u and w, use the first and second two auxiliary variables to relax the direct model in (3.1.a) to obtain the following relaxation model, which is the model :

[0067] Objective function:

[0068] Restrictions:

[0069]

[0070] Ac=u

[0071] x=w

[0072] among them, Is the penalty parameter.

[0073] Building the augmented Lagrangian function of the relaxation model as follows:

[0074]

[0075] Where y 1 ∈ C lN ,y 2 ∈ C lN These are the Lagrangian multipliers corresponding to the constraints Ac=u and x=w, respectively.

[0076] (3.2.b) Apply the ADMM method to the relaxation model to obtain the relaxation ADMM model: apply the ADMM method to the...

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Abstract

The invention discloses an OFDM peak-to-average ratio suppression method based on an alternating direction multiplier method for solving the problem that the existing optimization method for reducingthe OFDM peak-to-average ratio has high computational complexity. The implementation scheme comprises: taking frequency domain OFDM signal data carrier interference as an objective function, taking the peak-to-average ratio and the free carrier power as constraint conditions, establishing a non-convex optimization model; using the alternating direction multiplier ADMM to participate in the optimization process, and seeking the optimal solution, wherein the optimization process consists of two schemes, the ADMM method is directly used for solving in scheme 1, and a KKT point of an optimizationmodel can be guaranteed to be converged in the case of convergence. In the scheme 2, the optimization model is relaxed to obtain a relaxation model to guarantee the convergence, and the KKT point of the optimization model is infinitely approached in the case that the parameters are properly selected. Compared with the existing peak-to-average ratio suppression method, the OFDM peak-to-average ratio suppression method has the advantages of being able to obtain a smaller and more constant peak-to-average ratio, improving the system error rate performance and reducing the computational complexity, and the OFDM peak-to-average ratio suppression method is applied to the technical field of communication to improve the transmission quality of the communication system quality.

Description

technical field [0001] The invention belongs to the communication field, and in particular relates to a sending end technology suitable for Orthogonal Frequency Division Multiplexing (OFDM), in particular to an OFDM peak-to-average ratio suppression method based on an alternating direction multiplier method, which can be used in the wireless communication field. Background technique [0002] Orthogonal Frequency Division Multiplexing (OFDM) is an important multi-carrier modulation technology. Due to its high spectrum utilization rate and ability to resist multipath fading, OFDM has been widely used in modern wireless communication systems. However, since OFDM is a multi-carrier modulation method and the data of different carriers is independent, the same or similar carrier phases in the frequency domain will result in a larger peak value of the time domain signal and a higher peak-to-average ratio. However, the power amplifier of the transmitter is limited in power, and a la...

Claims

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Application Information

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IPC IPC(8): H04L27/26
CPCH04L27/2614
Inventor 王勇超王艳娇
Owner XIDIAN UNIV
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