TWI482467B - An apparatus for papr reduction in ofdm system - Google Patents

Description

Device for reducing power peak-to-average ratio of orthogonal frequency division multiplexing system

The present invention relates to a device for reducing the power peak-to-average ratio of an orthogonal frequency division multiplexing system, and more particularly to a device for reducing the power peak-to-average ratio using a selective mapping technique.

Orthogonal Frequency Division Multiplexing (OFDM) has better Spectral Efficiency and can effectively resist Frequency Selective Fading Channels. Therefore, orthogonal frequency division is more. The system is widely used in IEEE 802.16 Worldwide Interoperability for Microwave Access (WiMAX), Digital Video Broadcasting (DVB) and IEEE 802.11 a/g/n wireless local area network (Wireless Local Area). Network, WLAN), etc.

However, since the orthogonal frequency division multiplexing system has a large number of subcarriers, the superposition of a large number of subcarriers is also prone to excessively high Peak-to-Average Power Ratio (PAPR), when the power peak When the signal of the high ratio is passed through the nonlinear power amplifier, problems such as In-Band Distortion and Out-Band Radiation will occur, and the in-band distortion will cause the error rate at the receiving end to rise. Out-of-band emissions can cause the spectrum to become large and cause interference between adjacent channels.

In order to reduce the power peak-to-average ratio of the orthogonal frequency division multiplexing system, it is known that A method such as clipping, Coding, or Selected Mapping (SLM), wherein the selective mapping method not only has a better effect in reducing the power peak-to-average ratio, but also has a better effect. Effectively avoiding signal distortion, the selective mapping method is one of the widely used methods. However, under the traditional selective mapping method, each candidate signal must undergo an inverse inverse Fourier transform (IFFT) operation, resulting in an increase in computational complexity. Based on the selective mapping method, although other scholars use the Perfect Sequence method to perform vector conversion, the problem of the computational complexity of the traditional selective mapping method is too high. However, this method is not as good as the conventional selective mapping method in reducing the power peak-to-average ratio.

In view of this, the traditional selective mapping method must be improved. In addition to maintaining the low power peak-to-average ratio of the traditional selective mapping method, the complexity of the system can be reduced.

SUMMARY OF THE INVENTION A primary object of the present invention is to provide a device for reducing the power peak-to-average ratio of an orthogonal frequency division multiplexing system, the output signal of which has a lower power peak-to-average ratio.

Another object of the present invention is to provide an apparatus for reducing the power peak-to-average ratio of an orthogonal frequency division multiplexing system having a lower operational complexity.

To achieve the foregoing object, the apparatus for reducing the power peak-to-average ratio of the orthogonal frequency division multiplexing system of the present invention comprises: a subcarrier divider for receiving a plurality of subcarrier frequency domain signals, and Segmentation algorithm The subcarrier frequency domain signals are respectively divided into a plurality of sub-set frequency domain signals; an inverse fast Fourier converter is configured to receive the plurality of sub-set frequency domain signals, and perform inverse fast Fourier transform on the plurality of sub-set frequency domain signals, The plurality of sub-set time domain signals are generated, and the at least one candidate signal generating module is configured to receive the plurality of sub-set time domain signals to generate at least one candidate signal, wherein each of the candidate signal generating modules includes: a time domain rotation displacement The processing unit is configured to receive the plurality of sub-set time domain signals, and perform rotation modulation and cyclo-rotation modulation on the time domain of the plurality of sub-set time domain signals by using a rotation equation and a cyclic displacement equation Generating a plurality of rotational displacement signals; a time domain conjugate complex digital converter is configured to receive the plurality of rotational displacement signals, and perform conjugate complex conversion on the time domain of the plurality of cyclic displacement signals by a conjugate complex conversion equation Changing to generate a plurality of conjugate complex conversion signals; a pre-combiner for receiving the plurality of conjugate complex conversion signals and accumulating them in an interleaving manner The program performs interleaving accumulating modulation on the plurality of conjugate complex conversion signals to generate a plurality of pre-bonded signals; and an inversion combiner is configured to receive the plurality of pre-bonded signals and use the inverse equation to The pre-combined signals are inversely modulated to generate a plurality of inversion signals, and the plurality of inversion signals are accumulated to generate the candidate signals; and a candidate signal selector receives the at least one candidate signal. Then compare the power peak-to-average ratio between the candidate signals, and select the candidate signal having the lowest power peak-to-average ratio as an output signal.

The device for reducing the power peak-to-average ratio of the orthogonal frequency division multiplexing system of the present invention, wherein the time domain rotational displacement processing unit comprises a time domain rotator and a time domain cyclic shifter, wherein the time domain rotator is used Receiving the plurality of sub-set time domain signals, and using the rotation equation for the plurality of sub-set time domains The signal is rotated and modulated in the time domain to generate a plurality of transition signals. The time domain cyclic shifter is configured to receive the plurality of transition signals, and perform time-domain on the plurality of transition signals by a cyclic displacement equation. The cyclic displacement is modulated to generate the plurality of rotational displacement signals.

The device for reducing the power peak-to-average ratio of the orthogonal frequency division multiplexing system of the present invention, wherein the time domain rotational displacement processing unit comprises a time domain cyclic shifter and a time domain rotator, wherein the time domain cyclic shifter is used Receiving the plurality of sub-set time domain signals, and performing cyclic shift modulation on the time domain of the plurality of sub-set time domain signals by the cyclic displacement equation to generate a plurality of transition signals, wherein the time domain rotator is configured to receive The plurality of transition signals are rotated in the time domain by the rotation equation to generate the plurality of rotational displacement signals.

The apparatus for reducing the power peak-to-average ratio of the orthogonal frequency division multiplexing system of the present invention, wherein the conjugate complex conversion equation is as follows:

Among them, the Representing the rotational displacement signal generated by the mth candidate signal generating module, Representing the conjugate complex conversion signal generated by the mth candidate signal generation module, the z _{s, m, 1} and z _{s, m, 2} being conjugate conversion parameters, the z _{s, m, 1} and z _{s, m, 2 is a} non-negative integer and z _s,m,1 +z _s,m,2 =1.

The apparatus for reducing the power peak-to-average ratio of the orthogonal frequency division multiplexing system of the present invention, wherein the interleaving accumulation equation is as follows:

Among them, the Representing the pre-combined signal, Represents the conjugate complex conversion signal.

The apparatus for reducing the power peak-to-average ratio of the orthogonal frequency division multiplexing system of the present invention, wherein the inversion equation is as follows:

among them, [n] represents the nth element of the inverted signal, [n] represents the nth element of the pre-bonded signal, the r _{q, m, 1} , r _{q, m, 2} and r _{q, m, 3} are inversion parameters, the r _{q, m, 1} , r _{q , m, 2} and r _{q, m, 3 are} non-negative integers and r _q,m,1 +r _q,m,2 +r _q,m,3 =1.

The apparatus for reducing the power peak-to-average ratio of the orthogonal frequency division multiplexing system of the present invention, wherein the partitioning algorithm is a block interleaving synthesis method.

The above and other objects, features and advantages of the present invention will become more <RTIgt; "Coupling" means a connection between two elements through a direct connection or an indirect connection, such that the two elements have signals or currents transmitted between each other.

In order to make the explanation of the present invention more complete, the following features are specifically applied in the embodiments of the present invention:

Feature one:

When a frequency domain vector X of length N is cyclically shifted (Cyclic Shift), it is equivalent to phase rotation (Phase Rotation) of its corresponding time domain vector x. The mathematical expression is as follows:

Where F ^-1 {‧} represents the inverse fast Fourier transform and c is the number of cyclic shifts. Using Duality, equation (1) can be converted to:

That is, cyclic shifting in the time domain is equivalent to phase rotation in the frequency domain.

Feature 2:

When a frequency domain vector X of length N is reversed, it is equivalent to inverting the corresponding time domain vector x. The mathematical expression is as follows: F ^-1 { X [(- k ) _N ]}= x [(- n ) _N ] (3)

If the inverse frequency domain vector is conjugated complex (Complex Conjugate), it is equivalent to taking the conjugate complex number for the time domain vector x. The mathematical expression is as follows: F ^-1 { X ^* [(- k ) _N ]} = x ^* [ _n ] (4)

Using the duality, equation (4) can be transformed as follows: F ^-1 { X ^* [( k ) _N ]}= x ^* [(- n ) _N ] (5)

Referring to the first figure, the device for reducing the power peak-to-average ratio of the orthogonal frequency division multiplexing system of the present invention is preferably disposed on one of the signal transmission ends of the orthogonal frequency division multiplexing system, and includes: Subcarrier splitter 1, one fast Fourier converter 2, at least one candidate signal generating module 3 and a candidate signal selector 4. The subcarrier divider 1 is coupled to the inverse fast Fourier transformer 2, and the inverse fast Fourier transformer 2 is coupled to the candidate signal generating module 3. The candidate signal generating module 3 is coupled to the candidate signal selector 4.

The subcarrier divider 1 is configured to receive a plurality of subcarrier frequency domain signals, and divide each subcarrier frequency domain signal into a plurality of subset frequency domain signals by using a splitting algorithm.

The type of the segmentation algorithm may be a Subblock Dividing Method, an Interleaved Dividing Method, or a Joint Subblock and Interleaved Dividing Method. In this implementation, the block interleaving integration method is adopted, and each sub-carrier frequency domain signal is divided into a plurality of sub-blocks, and each sub-block is further interleaved into a plurality of sub-set frequency domain signals. The plurality of sub-set frequency domain signals can be represented by the following equation:

Where Γ _S represents the number of sub-set frequency domain signals, N represents the number of frequency signals of the plurality of sub-carriers, and U represents the number of sub-carrier frequency domain signals divided into the number of the plurality of sub-blocks, and V represents each The sub-block is divided into the number of the frequency signals of the plurality of sub-sets, and S represents the number of the frequency-domain signals of the plurality of sub-carriers divided into the frequency signals of the plurality of sub-sets. Representing the floor function, ( ̇ ) _V represents the modulo function for V, X represents the frequency domain vector of the frequency domain signal of the sub-set, and can be divided into S N × 1 vectors X _S , X _S [k] represents the kth element of the vector X _S .

The inverse fast Fourier transformer 2 is configured to receive the plurality of sub-set frequency domain signals, and perform inverse fast Fourier transform on the plurality of sub-set frequency domain signals to generate a plurality of sub-set time domain signals. The inverse fast Fourier transform can be expressed by the following equation: x _S = IFFT { X _S } (8)

Where X _S represents the sub-set time domain signal.

When the inverse fast Fourier transform 2 performs inverse fast Fourier transform, since the non-zero elements divided into S N×1 vectors X _S can constitute X, the positions of the non-zero elements of the S××1 vectors are mutually exclusive. That is, each element in X is only assigned to one of the X _S . When the input value of the inverse fast Fourier transform is 0, it means that there is no input at this place, so there is no need to calculate, and the operation related to the input value can be omitted, so that the overall computational complexity can be reduced.

Referring to FIG. 2, in the first embodiment of the present invention, the at least one candidate signal generating module 3 is configured to receive the plurality of subset time domain signals to generate at least one candidate signal. Each of the candidate signal generating modules 3 includes a time domain rotational displacement processing unit 31, a time domain conjugate complex digital converter 32, a pre-combiner 33, and an inversion combiner 34.

The time domain rotational displacement processing unit 31 is configured to receive the plurality of sub-set time domain signals, and sequentially perform rotation modulation on the time-domains of the plurality of sub-set time domain signals by using a rotation equation and a cyclic displacement equation. The loop is modulated to produce a number of rotational displacement signals.

More specifically, the time domain rotational displacement processing unit 31 includes a time domain rotator 311 and a time domain cyclic shifter 312.

The time domain rotator 311 is configured to receive the plurality of sub-set time domain signals, and perform rotation transformation of the plurality of sub-set time domain signals in the time domain by using the rotation equation to generate a plurality of transition signals. The rotation equation is as follows:

Among them, the [n] represents the nth element of the transition signal generated by the mth candidate signal generation module, and c represents a rotation amount in the time domain, and the number of c is {U! } ^V , U represents the number of the sub-carrier frequency domain signals divided into the number of the sub-blocks, and V represents the number of the sub-blocks divided into the frequency signals of the plurality of sub-sets.

The time domain cyclic shifter 312 is configured to receive the plurality of transition signals, and perform cyclic shift modulation on the plurality of transition signals in the time domain by using the cyclic displacement equation to generate a plurality of rotational displacement signals. The cyclic displacement equation is as follows:

Among them, the Representing the rotational displacement signal generated by the mth candidate signal generating module, and d represents the number of cyclic shifts, and the number of cyclic shifts is not limited herein, and it is preferable that different candidate signal generating modules 3 have different The number of cyclic shifts is such that the candidate signals generated by the candidate signal generating modules 3 have different power peak-to-average ratios.

The time domain conjugate complex converter 32 is configured to receive the plurality of rotational displacement signals, and perform conjugate complex conversion modulation on the time domain of the plurality of cyclic displacement signals by a conjugate complex conversion equation to generate a plurality of Conjugate complex conversion signal. The conjugate complex conversion equation is as follows:

Among them, the Representing the conjugate complex conversion signal generated by the mth candidate signal generation module, the z _{s, m, 1} and z _{s, m, 2} being conjugate conversion parameters, the z _{s, m, 1} and z _{s, m, 2 is a} non-negative integer and z _s,m,1 +z _s,m,2 =1.

The pre-combiner 33 is configured to receive the plurality of conjugate complex conversion signals, and perform interleaving cumulative modulation on the plurality of conjugate complex conversion signals by an interleave accumulation equation to generate a plurality of pre-bonded signals.

The interleaved accumulation equation and its operation process are as follows:

In more detail, in the subcarrier divider 1 of the embodiment, the N subcarriers are divided into U sub-blocks, and each sub-block is divided into V sub-set frequency domain signals, and the sub-set frequency domain signals are The sum S can be expressed as S = U. V , s = u . V + v , where u =0,1,..., U -1, v =0,1,..., V -1. Therefore, in equation (13), the conjugate complex conversion signal Can be rewritten as + _{v , m} .

Moreover, since the present invention performs segmentation by a block interleaving synthesis method to generate a plurality of sub-set frequency domain signals, the plurality of sub-set frequency domain signals are subjected to other modulations, and if they are to be combined, they must be based on equation (13). The method of substituting equation (12) into equation (13), respectively, can be obtained by the interleaving cumulative modulation equation (14). Among them, the Represents the pre-combined signal.

The inversion combiner 34 is configured to receive the plurality of pre-bonded signals, and perform inverse transform on the plurality of pre-bonded signals in an inversion equation to generate a plurality of inverted signals, and then inversely The transfer number is accumulated to generate the candidate signal. The inversion equation is as follows:

among them, [n] represents the nth element of the inversion signal, the r _{q, m, 1} , r _{q, m, 2} and r _{q, m, 3} are inversion parameters, the r _{q, m, 1} , r _{q , m, 2} and r _{q, m, 3 are} non-negative integers and r _q,m,1 +r _q,m,2 +r _q,m,3 =1.

Then, the plurality of inversion signal systems are accumulated, and the accumulated equation is expressed as follows:

among them, Represents the candidate signal.

The candidate signal selector 4 receives the at least one candidate signal, compares the power peak-to-average ratio between the candidate signals, and selects the candidate signal having the lowest power peak-to-average ratio as an output signal.

The candidate signal selector 4 can be a conventional comparator or an arithmetic circuit, etc., and is not limited herein.

In more detail, after the at least one candidate signal generating module 3 performs all the signal modulation processes, each of the candidate signal generating modules 3 can generate Relative to the candidate signal. The number of the candidate signals is not the same as the number of the candidate signal generating modules 3, and the candidate signal generating modules 3 are modulated by different rotation amounts, cyclic shift times, and the like, and different candidate signal generating modules are used. The 3 series produces candidate signals with different power peak-to-average ratios. At this time, the candidate signal selector 4 selects the candidate signal having the lowest power peak-to-average ratio as the output signal, thereby effectively avoiding the problem that the output signal has an excessive power peak value.

In addition, if the number of the at least one candidate signal generating module 3 is only one, the number of the candidate signals is only one, and the candidate signal selector 4 directly selects the candidate signal as an output signal.

Referring to FIG. 3, it is a second embodiment of the present invention, wherein the connection relationship and operation of the time domain conjugate complex converter 32, the pre-bonder 33 and the inversion combiner 34 are the same as those of the first embodiment. This will not be repeated here. In the second embodiment, the time domain rotational displacement processing unit 31' includes a time domain cyclic shifter 311' and a time domain rotator 312'.

The time domain cyclic shifter 311' is configured to receive the plurality of sub-set time domain signals, and perform cyclic shift modulation on the time domain of the plurality of sub-set time domain signals by the cyclic displacement equation to generate a plurality of transition signals. . The cyclic displacement equation is as follows:

Among them, the Representing the transition signal generated by the mth candidate signal generation module, and d represents the number of cyclic shifts. The definition of the number of cycles of displacement is the same as that of the first embodiment.

The time domain rotator 312' is configured to receive the plurality of transition signals, and perform rotational rotation modulation on the plurality of transition signals in the time domain by using the rotation equation to generate a plurality of rotational displacement signals. The rotation equation is as follows:

Among them, the [ n ] represents the nth element of the rotational displacement signal generated by the mth candidate signal generation module, and c represents a rotation amount in the time domain. The definition of the amount of rotation is the same as that of the first embodiment.

Although the order of data processing is different in the time domain rotational displacement processing units 31, 31' of the first embodiment and the second embodiment of the present invention, the rotation modulation and the cyclic shift adjustment are used for the sub-set time domain signals. The order of the changes changes and does not change the resulting rotational displacement signal.

Please refer to FIG. 4, which is a power peak-to-average ratio performance diagram of the present invention. The curve A represents the relationship between the power peak-to-average ratios of the unprocessed subcarriers, and the curves B1, B2, and B3 are the subcarriers processed by the conventional selective mapping, and the number of candidate signals is 32, 16 respectively. And the power peak-to-average ratio curve at 8 o'clock, the curves C1, C2, and C3 are subcarriers under the condition of U=4 and V=4. After the processing of the present invention, the number of candidate signals is respectively The relationship between power peak-to-average ratio at 32, 16 and 8 o'clock. As can be seen from the figure, the present invention can indeed have a problem that the power peak average value of the subcarrier is too high, and the present invention has a similar performance of reducing the power peak value similar to the conventional selective mapping method.

Referring to Table 1, Tables 5 and 6, Table 1 is a calculation method for the computational complexity of the present invention and the conventional selective mapping method, and Figures 5 and 6 are computational complexity relationships. The D1, D2, and D3 in FIG. 5 are the conventional selective mapping method, the U=4 and V=4 of the present invention, and the U=2 and V=4 of the present invention when the number of candidate signals is M and N=256, respectively. The number of adders The curve. The E1, E2, and E3 in FIG. 6 are multipliers of the conventional selective mapping method, U=4 and V=4 of the present invention, and U=2 and V=4 of the present invention, respectively, when the number of candidate signals is M. The relationship between the numbers. As can be seen from the figure, the present invention has the effect of reducing the computational complexity compared to the conventional selective mapping method.

The device for reducing the power peak-to-average ratio of the orthogonal frequency division multiplexing system of the present invention can be processed by the candidate signal generating module, so that the candidate signal selector can select a signal with a lower power peak-to-average ratio. As an output signal, it has the effect of reducing the power peak-to-average ratio.

The device for reducing the power peak-to-average ratio of the orthogonal frequency division multiplexing system of the invention has the effect of reducing the computational complexity.

While the invention has been described in connection with the preferred embodiments described above, it is not intended to limit the scope of the invention. The technical scope of the invention is protected, and therefore the scope of the invention is defined by the scope of the appended claims.

〔this invention〕

1‧‧‧Subcarrier divider

2‧‧‧Anti-fast Fourier Transformer

3‧‧‧Selection signal generation module

31‧‧‧Time Domain Rotary Displacement Processing Unit

31'‧‧‧Time Domain Rotary Displacement Processing Unit

311‧‧‧Time domain rotator

311'‧‧‧Time Domain Cyclic Displacement

312‧‧‧Time domain cyclic shifter

312'‧‧‧Time Domain Rotator

32‧‧‧Time Domain Conjugate Complex Converter

33‧‧‧Pre-bonder

34‧‧‧Reverse combiner

4‧‧‧Candidate Signal Selector

Figure 1 is a block diagram of the apparatus for reducing the power peak-to-average ratio of the orthogonal frequency division multiplexing system of the present invention.

Figure 2: A first embodiment of the candidate signal generating module of the present invention.

Figure 3: A second embodiment of the candidate signal generating module of the present invention.

Fig. 4 is a graph showing the efficiency of the power peak-to-average ratio of the present invention.

Figure 5: The performance map of the present invention for reducing computational complexity.

Figure 6: The performance map of the present invention for reducing computational complexity.

1‧‧‧Subcarrier divider

2‧‧‧Anti-fast Fourier Transformer

3‧‧‧Candidate Signal Generation Module

4‧‧‧Candidate Signal Selector

Claims (7)

A device for reducing a power peak-to-average ratio of an orthogonal frequency division multiplexing system includes: a subcarrier divider for receiving a plurality of subcarrier frequency domain signals, and the subcarriers are divided by a split algorithm The frequency domain signals are respectively divided into a plurality of sub-set frequency domain signals; an inverse fast Fourier converter is configured to receive the plurality of sub-set frequency domain signals, and perform inverse fast Fourier transform on the plurality of sub-set frequency domain signals to generate numbers The sub-set time domain signal; the at least one candidate signal generating module is configured to receive the plurality of sub-set time domain signals to generate at least one candidate signal, wherein each of the candidate signal generating modules comprises: a time domain rotational displacement processing unit, The system is configured to receive the plurality of sub-set time domain signals, and perform a rotation modulation and a cyclone displacement modulation on the time domain of the plurality of sub-set time domain signals by using a rotation equation and a cyclic displacement equation to generate a plurality of a rotational displacement signal; a time domain conjugate complex digital converter for receiving the plurality of rotational displacement signals and displacing the plurality of cyclic displacements by a conjugate complex conversion equation The conjugate complex conversion modulation on the time domain is performed to generate a plurality of conjugate complex conversion signals; a pre-combiner is configured to receive the plurality of conjugate complex conversion signals and use the interleaved accumulation equation to calculate the number The conjugate complex conversion signals are interleaved and accumulated to generate a plurality of pre-bonded signals; and an inverting combiner is configured to receive the plurality of pre-bonded signals and to perform the pre-bonded signals by an inversion equation Inverting the modulation to generate a plurality of inversion signals, and then accumulating the plurality of inversion signals to generate the candidate signal And a candidate signal selector, which receives the at least one candidate signal, compares the power peak-to-average ratio between the candidate signals, and selects the candidate signal having the lowest power peak-to-average ratio as an output signal. The apparatus for reducing a power peak-to-average ratio of an orthogonal frequency division multiplexing system according to claim 1, wherein the time domain rotational displacement processing unit comprises a time domain rotator and a time domain cyclic shifter, The time domain rotator is configured to receive the plurality of sub-set time domain signals, and perform rotation transformation of the plurality of sub-set time domain signals in the time domain by using the rotation equation to generate a plurality of transition signals, the time domain cyclic shift The device is configured to receive the plurality of transition signals, and perform cyclic shift modulation on the plurality of transition signals in a time domain by a cyclic displacement equation to generate the plurality of rotational displacement signals. The apparatus for reducing a power peak-to-average ratio of an orthogonal frequency division multiplexing system according to claim 1, wherein the time domain rotational displacement processing unit comprises a time domain cyclic shifter and a time domain rotator, The time domain cyclic shifter is configured to receive the plurality of sub-set time domain signals, and perform cyclic shift modulation on the time domain of the plurality of sub-set time domain signals by using the cyclic displacement equation to generate a plurality of transition signals. The domain rotator is configured to receive the plurality of transition signals, and perform rotation modulation on the plurality of transition signals in the time domain by using the rotation equation to generate the plurality of rotation displacement signals. A device for reducing a power peak-to-average ratio for an orthogonal frequency division multiplexing system according to claim 1, wherein the conjugate complex conversion equation is as follows: Among them, the Representing the rotational displacement signal generated by the mth candidate signal generating module, Representing the conjugate complex conversion signal generated by the mth candidate signal generation module, the z _{s, m, 1} and z _{s, m, 2} being conjugate conversion parameters, the z _{s, m, 1} and z _{s, m, 2 is a} non-negative integer and z _s,m,1 +z _s,m,2 =1. The apparatus for reducing the power peak-to-average ratio of the orthogonal frequency division multiplexing system according to claim 1, wherein the interleaving accumulation equation is as follows: Among them, the Representing the pre-combined signal, Represents the conjugate complex conversion signal. The apparatus for reducing the power peak-to-average ratio of the orthogonal frequency division multiplexing system according to claim 1, wherein the inversion equation is as follows: among them, [ n ] represents the nth element of the inverted signal, [ n ] represents the nth element of the pre-bonded signal, the r _{q, m, 1} , r _{q, m, 2} and r _{q, m, 3} are inversion parameters, the r _{q, m, 1} , r _{q , m, 2} and r _{q, m, 3 are} non-negative integers and r _q,m,1 +r _q,m,2 +r _q,m,3 =1. A device for reducing a power peak-to-average ratio of an orthogonal frequency division multiplexing system according to claim 1, wherein the segmentation algorithm is a region Block interleaved synthesis.