Orthogonal frequency division multiplexing (OFDM) has the advantages of spectral efficiency in wideband communication systems such as 3GPP long-term evolution (LTE). However, OFDM suffers from a high peak-to-average power ratio (PAPR). Several schemes, such as peak windowing, clipping and filtering, have been proposed in order to reduce the PAPR in OFDM-based systems. However, these schemes reduce the peak signals regardless of the PAPR pattern; thus, while guaranteeing error vector magnitude (EVM) and adjacent channel leakage ratio (ACLR) performances they do not efficiently reduce the PAPR. In this paper, we propose a hybrid peak-windowing scheme that selects the optimum PAPR reduction scheme according to the PAPR pattern, and we evaluate its performance using a real LTE test bed. Our test results show that the proposed scheme outperforms the existing schemes in terms of EVM, ACLR, and power consumption.

1 Introduction

With the increasing demand for high data rate wireless communications, 3GPP long-term evolution (LTE) has become one of the dominant wireless access technologies. LTE is expected to result in significantly improved transmission rates and spectral efficiency compared to 3G systems such as wide code division multiple access (WCDMA). To enable better performance, the LTE standard adopts orthogonal frequency division multiplexing (OFDM), which is a transmission method employed for wideband communications because of its high spectral efficiency, robustness to inter-symbol interference (ISI), and simple receiver structure [1].

However, one of the major drawbacks of OFDM-based systems is the high peak-to-average-power ratio (PAPR) problem that is due to the summing of sub-carrier signals. The high PAPR signals over the dynamic range of a power amplifier (PA) and digital-to-analog converter (DAC) lead to non-linear distortions such as the spectral regrowth phenomena, in-band noise, and increased quantization errors. These results cause degradations in the adjacent channel leakage ratio (ACLR) and error vector magnitude (EVM) performance [2].

Several methods have been proposed to reduce PAPR in OFDM-based systems. Single-carrier frequency division multiple access (SC-FDMA) is a variant of OFDM-based systems in which the data symbols of each user are first modulated in the time domain and then discrete Fourier transform (DFT) spread across the data subcarriers to yield a signal that is commensurate with single-carrier modulation. Hence, in the absence of multiple superimposed subcarriers, the envelope fluctuations are less pronounced and the power efficiency is higher than for conventional OFDM-based systems. In addition, the most straightforward solution for alleviating the side effects of high PAPR is to guarantee sufficient headroom for the signal with the highest peak to be processed in the dynamic range. However, a large amount of headroom results in a significant reduction in power efficiency. Therefore, an attractive and cost-effective solution is to reduce the PAPR of the OFDM signal.

To reduce the high PAPR in OFDM, a number of approaches have been proposed. The existing solutions are broadly classified into two categories: receiver-dependent schemes and receiver-independent schemes. Receiver-dependent schemes transmit a PAPR reduction signal including additional information. At the receiver side, the transmitted signal can be decoded using the additional information. Typically, the tone reservation (TR) [3], selective mapping (SLM) [4], and partial transmit sequence (PTS) [5] are receiver-dependent schemes. However, the inclusion of additional information in receiver-dependent schemes will cause a reduction in the data rate. Furthermore, to enable the use of additional information, the receiver structure should be modified to restore the PAPR reduction signals.

In contrast, receiver-independent schemes transmit a PAPR reduction signal without any additional information. The clipping and filtering (CAF) schemes [6,7] and the peak windowing (PW) schemes [8,9] are famous receiver-independent schemes. Because receiver-independent schemes operate only on the transmitter side, the schemes do not require any modification of the receiver structure and do not cause any reduction in data rate because of the absence of additional information. Thus, receiver-independent schemes are widely used in practice because of their convenience. However, in [6-9], it is seen that the original signals become distorted and there are degradations in the performance of certain parameters such as the ACLR and EVM because the receiver cannot know the distorted information. In [7], experimental results for the relationship between the average power, EVM, and ACLR for an OFDM-based system with CAF are presented. The CAF scheme is a simple and effective scheme that is used to reduce the PAPR; however, it still leads to performance degradation of the EVM and ACLR because of the peak regeneration phenomenon caused by its filtering operation. Another solution is the PW scheme, which can efficiently reduce high-PAPR signals compared to the CAF scheme. However, the PW scheme still cannot efficiently eliminate successive high-PAPR signals. In [8], weighting factors for each peak are obtained by solving matrix-based linear equations so that the overall window function reduces each peak to the clipping threshold. In [9], sequential asymmetric suppression peak windowing and weighted windowing were proposed. While both schemes can deal with successive peaks that may cause excessive attenuation or spectral regrowth in the PW scheme, [8,9] focus on eliminating successive peak signals, and therefore, they cannot be efficiently applied to other cases such as discontinuous peak signals.

In this paper, we propose a new PAPR reduction scheme called hybrid peak windowing (HPW). The proposed scheme minimizes the degradation of the ACLR and EVM performance by selecting the proper PAPR reduction scheme as the input signal PAPR pattern. By applying the proposed scheme, we can optimally eliminate high-PAPR signals while minimizing performance degradation. In addition, we evaluate the proposed scheme relative to the existing PAPR reduction schemes using a real LTE system test bed and prove that the proposed scheme exhibits better performance than the existing schemes.

The rest of this paper is organized as follows. In Section 2, we discuss the PAPR issue in LTE systems and the related LTE specifications. In Section 3, we introduce the existing PAPR reduction schemes and the proposed scheme. In Section 4, we present a performance analysis, and we conclude the paper in Section 5.

2 PAPR issue in LTE systems

2.1 Characteristics of OFDM signals

The complex baseband OFDM signal with N subcarriers is expressed as:

$$ x(t)=\frac{1}{\sqrt{N}}{\displaystyle {\sum}_{k=-\frac{N}{2}}^{\frac{N}{2}-1}}{X}_k\cdot {e}^{j2\pi k\varDelta ft},\;0\le t\le T $$

(1)

where X_{
k
} is the complex modulated data symbol on subcarrier k from a given binary phase-shift keying (BPSK) or M-ary quadrature amplitude modulation (M-QAM) constellation. The frequency spacing, Δf, which is chosen to maintain the orthogonality of subcarrier frequencies, is usually assumed to be 1/T. Samples of x(t) at t = nT/NQ, where Q is the oversampling factor, can be efficiently computed via the inverse discrete Fourier transform (IDFT) as \( X=\left[{X}_0,\cdots,\;{X}_{\frac{N}{2}-1},\;0,\;{X}_{-1},\cdots,\;{X}_{-\frac{N}{2}}\right] \). When N is large, the time signal, x(t), exhibits a Gaussian distribution because the central limit theorem applies.

The OFDM signal is the sum of many independent signals modulated into sub-carriers of equal bandwidth, so it has a high peak-signal distribution compared to a single-carrier system such as WCDMA. The fluctuations can be characterized as a PAPR, which can be discretely approximated as:

Where x_{
n
} is the signal samples in the time domain. High-PAPR signals lead to a critical hardware implementation issue. For example, when large peak signals among x_{
n
} are processed out of the input dynamic range, it will result in non-linear distortions and decreased power efficiency of the PA. Therefore, high-PAPR values need to be reduced to improve power efficiency while minimizing non-linear distortion. However, there may be additional non-linear distortion because of intentional reductions of the PAPR.

In general, the PAPR is represented by the crest factor (CF), and we use both the PAPR and CF in this paper (PAPR = CF^{2}). To measure the value of the CF, a complementary cumulative distribution function (CCDF) is used. The CCDF curve is characterized by the probability of exceeding a particular signal level with respect to the average power. In addition, we use a design criterion that is 0.001% of the CCDF value because that is a typical design constraint in practical communication hardware designs. In other words, we assume that signals whose probabilities are below 0.001% do not affect system performance because they rarely occur.

2.2 EVM and ACLR in the LTE standard

The performances of the EVM and ACLR are directly related to the PAPR reduction scheme. Before discussing PAPR reduction schemes, we first introduce the EVM and ACLR.

The EVM is defined as the ratio of the power of the error vector to the root mean square (RMS) power of the reference, and is represented as:

where Perror is the RMS power of the error vector and Preference is the power of the reference vector. In general, Preference is the original signal, x(n). The EVM is closely related to the bit error rate (BER) and modulation error ratio, which is the ratio of the mean signal power to the mean error power. That is, a certain EVM level should be guaranteed to minimize the BER performance. In this paper, the EVM represents the degree of degradation of the modulation signal.

Out-of-band (OOB) radiation refers to unwanted radiation immediately outside the nominal channel resulting from the modulation process and non-linearity in the transmitter, excluding spurious radiation. The OOB radiation limit is specified in terms of a spectrum emission mask and the ACLR performance. The ACLR is defined as the ratio of the transmitted power to the power measured after a receiver filter in the adjacent channel, and is expressed as:

where B is the range of frequencies in the transmission channel, B_{adj} is the range of frequencies in the adjacent channel, and S_{
y
} is the power spectral density of the received signal. In addition, the ACLR should not exceed a certain threshold value because the OOB radiation can affect other channels as noise.

When the original signals are distorted intentionally to reduce peak signal components, the performance in terms of the EVM and ACLR will be degraded. Thus, the LTE standard defines the minimum requirements for the performance of the EVM and ACLR because they are critical metrics to guarantee system performance. The LTE standard defines technical specification (TS) 36.104 [10] and TS 36.141 [11] for the LTE system performance test. TS 36.104 establishes the minimum radio frequency (RF) characteristics and minimum performance requirements of the evolved universal terrestrial radio access (E-UTRA) base station (BS), and TS 36.141 establishes the RF test methods and conformance requirements for the E-UTRA BS. The minimum requirements given in TS 36.104 make no allowance for measurement uncertainty. In contrast, TS 36.141 defines test tolerances that are individually calculated for each test. However, TS 36.104 is used more broadly in LTE system performance evaluations because of its strict limitations, even though TS 36.141 is defined for RF test methods. Thus, in this paper, we use TS 36.104 for performance evaluation.

As described above, PAPR reduction schemes affect the EVM and ACLR performance. In TS 36.104 and TS 36.141, the related test specification for the EVM and ACLR are specified as the E-UTRA test model (E-TM) 1.1, E-TM 1.2, E-TM 2, E-TM 3.1, E-TM 3.2, and E-TM 3.3. E-TM 1.1 and E-TM 1.2 are related to the performance of the ACLR, and the measured value should be higher than the E-TM specification. Further, E-TM 2, E-TM 3.1, E-TM 3.2, and E-TM 3.3 are related to the performance of the EVM, and the measured value should be lower than the E-TM specification. The test purpose and specifications of the E-TMs are summarized in Table 1.

3 Proposed hybrid peak windowing scheme

The CAF scheme is the simplest scheme that is used for reducing peak signals. The CAF scheme is composed of a hard clipping procedure and a low-pass filtering (LPF) procedure. In hard clipping processing, the signals over a clipping threshold (Th) are eliminated, which is helpful for reducing the PAPR. However, this procedure generates sharp corners in the time domain. That is, the ACLR performance is degraded because the high-frequency noise components increase. To improve the ACLR performance, the CAF scheme passes the hard clipping output to an LPF. After processing with the LPF, high-frequency noise components are eliminated, and the CAF scheme realizes an improved ACLR performance. However, the CAF scheme generates a peak regeneration phenomenon, which is caused by the LPF operation after a hard clipping procedure. Thus, when we use the CAF scheme, we should set a lower clipping threshold than the target PAPR considering the peak regeneration phenomenon. Because of the lower clipping threshold relative to the target PAPR, the existing intentional signal distortion will be deteriorated and it will degrade the EVM performance. The CAF output, x_{caf}, is written as:

where x(n) is the original input signal of the CAF scheme, h_{LPF} (n) is the impulse response of the LPF used to eliminate OOB radiation, * is the convolution operator, and w_{
c
}(n) is the hard clipping window function expressed as:

The PW scheme multiplies peak signals with a specific window function in the presence of a peak signal. By multiplying a continuous window function, the PW scheme mitigates the performance degradation compared to the CAF scheme. In order to prevent OOB radiation, the PW scheme can control the window length L. However, increasing L can lead to degradation of the EVM performance because of the overlapping of the specific window function, which generates an abnormal peak cancellation window. The PW scheme is modeled as:

where n_{
i
} is the non-uniformly spaced sample index running over the specific set of samples, which exceeds the threshold Th. Further, n_{
i-
} represents a sample index on the rising edge of the signal, where it first exceeds the threshold Th, while n_{
i+
} represents a sample index, where the signal peak dips below the threshold Th. The window functions can be cosine, Hamming, Hanning, or Kaiser windows. The Kaiser window function is commonly used because it is simple to shape the spectrum by changing window length L and the shape factor β. Here, we considered Kaiser window with length of 31 taps and β is 5.

As described previously, to alleviate the peak regeneration phenomenon, the CAF scheme should set up a clipping threshold that is lower than the target PAPR level. Thus, the CAF scheme generates excessive degradation of the EVM performance. However, the CAF scheme eliminates peak signals with a fixed signal loss regardless of whether successive peak signals occur. In addition, the PW scheme eliminates peak signals smoothly by multiplying them by a specific window function. However, when the consecutive peak signals occur within half of the window length in the PW scheme, the window function can overlap. This leads to unintended distortions of the original signals and generates unintended distortion signals, even if the signal is under the clipping threshold. However, the PW scheme is usually preferred to the PAPR reduction scheme because it results in reduced performance degradation compared to the CAF scheme. In summary, using the same clipping threshold as the PW scheme, the CAF scheme cannot eliminate high-PAPR signals entirely because of the peak regeneration phenomenon. Furthermore, the PW scheme can deteriorate signal distortion in the case of successive peak signals.

To prevent unintended distortions, we propose a HPW scheme, which aims to determine the peak signal over the clipping threshold level and to suppress it while minimizing unintended distortion. The main goal of the HPW scheme is to select a proper PAPR reduction scheme as a peak signal pattern. When the single peak signal is detected in the half window length, the HPW scheme eliminates the peak signal using the PW scheme. However, when successive peak signals are detected within a half of the window length, the HPW scheme eliminates consecutive peak signals using the CAF scheme, and not the PW scheme. In addition, in the proposed scheme, an even-order filter structure is used to minimize peak regeneration that occurs during the filtering operation, and the delay between the PW scheme and the CAF scheme is designed to be the same.

Figure 1 depicts the block diagram for the proposed HPW scheme. The HPW scheme is composed of a peak detector, successive peak detector, PW block, and CAF block. In addition, the clipping threshold for the CAF block is set to be lower than the clipping threshold of the PW block because of the peak regeneration phenomenon. Consequently, the PW block generally has a better EVM performance than the CAF block, but this does not hold in the case of successive peak signals.

When the original signals enter the HPW scheme, the peak detector first checks the peak signals above the clipping threshold. Then, the successive peak detector monitors whether or not the distance from the previous peak is less than half of the window length. If successive peak signals are detected within half of the window length, the successive peak detector sets the enabled signal to zero. Next, the HPW scheme processes the CAF scheme to prevent unintended excessive distortion. However, if successive peak signals are not detected within half of the window length, the enabled signal is set to one, and the HPW scheme processes the PW scheme, and not the CAF scheme. Thus, the correct PAPR reduction scheme is selected for the peak signal distribution. The output of the HPW scheme is modeled as:

where E (n) is the output of the successive peak detector.

4 Performance analysis

In this section, we compare the CCDF, ACLR, and EVM performance for the CAF scheme [7], PW scheme [8], and proposed HPW scheme. In the test bed for the performance evaluation, LTE test model streams that comply with the LTE standard specification are generated. The binary information bit streams are mapped to complex BPSK and M-QAM symbols. The output of the mapper is converted from serial to parallel and is processed using a 1024-point complex inverse fast Fourier transform (IFFT). The 1024-point complex-valued time-domain signals are followed by a guard interval (GI). After that, the outputs of the baseband test-model signals are processed by a digital transceiver board, and the output signals of the digital transceiver are processed by a DAC. The output signals of the DAC are up-converted by a local oscillator (LO), and those signals enter a laterally diffused metal-oxide semiconductor (LDMOS) PA. The final RF signals are decoded by performing signal analyzer measurements. In the performance evaluation, the system bandwidth is 10 MHz and the RF center frequency is 2.125 GHz. The PAPR reduction function is embedded in a digital transceiver board and implemented in a field-programmable gate array (FPGA). In addition, the input dynamic range of the PA is designed with a 6.5-dB PAPR level. Thus, the output PAPR of the PAPR reduction function is limited to 6.5 dB.

After PAPR reduction processing, the signal power level is adjusted. The peak signals have changing signal amplitudes due to intentional peak signal reduction, so the output of the PAPR reduction function is adjusted by a digital gain block (DGB). In addition, the input dynamic range of the DAC is maintained at a 6.5-dB PAPR signal level. The output power of the DAC is designed to be −10 dBm, and the output power of the PA is designed to be 46 dBm. Figure 2 depicts a block diagram of the LTE test bed employed for the performance evaluation.

First, we compared the FPGA resources of the HPW with those of the existing schemes in Table 2. In the implementation, we used Xilinx FPGA (XC7Z100; Xilinx Inc., San Jose, CA, USA), and the clock speed was 245.76 MHz.

As shown in Table 2, the CAF requires the smallest amount of FPGA resources, and more resources are required by PW and HPW when compared with those used by the CAF scheme. Unfortunately, because of its implementation complexity, the HPW scheme requires the most FPGA resources. As a result, the FPGA power consumption of HPW is the largest of the three schemes. However, compared with other schemes, the HPW scheme is characterized by the lowest PAPR while meeting the EVM and ACLR requirements; therefore, the PA power consumption of HPW will be the lowest. In the HPW scheme, the power consumed by the total system is reduced because of the power reduction of the PA despite the fact that the power consumed by the FPGA has increased. This will be discussed in detail at the end of this section.

The main goal of the PAPR reduction scheme is to increase the efficiency of the PA by limiting the peak signal level. Thus, the original CCDF without the PAPR reduction schemes is first measured to verify the original PAPR level. Figure 3 depicts the original CCDF without the PAPR reduction functions. As seen in Figure 3, the original CCDF value at 0.001% is 10.40 dB, and the original CCDF has a trend similar to a Gaussian distribution. The original CCDF value is measured at the DAC output to exclude the effects of the PA non-linear distortion. As seen in Figure 3, the original CCDF cannot satisfy the input dynamic range of the PA because the design constraint of the PA is a 6.5-dB PAPR. Consequently, it will degrade the ACLR and EVM performance because of the non-linear distortion of the PA and other active components. Thus, peak signals with PAPR values exceeding 6.5 dB should be eliminated to guarantee the input dynamic range of the PA. Figure 4 represents the degradation of the ACLR performance without the PAPR reduction scheme due to non-linear distortion. In Figure 4, we can verify that the value of the ACLR is 38.1 dBc. Thus, for this hardware design constraint, the ACLR performance cannot satisfy the LTE test specification without the PAPR reduction scheme because of the non-linear distortion of active components, especially the PA. In addition, Figure 5 represents the EVM performance of E-TM 3.1 without the PAPR reduction scheme. The value of the EVM is 2% and is caused by non-linear distortion of the DAC and PA. This error value contains other noise factors such as phase-locked loop (PLL) jitter noise and time-synchronous error. However, the EVM performance still satisfies the LTE test specification even though the non-linear in-band noise and inherent transceiver noise degrade the EVM performance.

As described above, the design constraint of the PA is set to a 6.5-dB input dynamic range. Thus, peak signals above the 6.5-dB PAPR level are eliminated by the HPW scheme, and the desired CCDF is obtained, as shown in Figure 6. The value of the CCDF at 0.001% is 6.5 dB, so the input dynamic range of the PA satisfies our design metric with the HPW scheme. After applying the HPW scheme, the ACLR and EVM performance that satisfied the LTE test specification are shown in Figures 7 and 8, respectively. As seen in Figure 7, an ACLR performance value of 63.6 dBc is obtained, which satisfies E-TM 1.1. The improved result is because of the reduced PAPR level achieved by the HPW scheme, which implies that the non-linear distortion components are eliminated by the HPW scheme. In addition, an EVM performance value of 5.8% for E-TM 3.1 is obtained, as shown in Figure 8. That is, both the inherent system noise and intentional distortion by the HPW scheme degrade the EVM performance. However, the EVM performance for the HPW scheme still satisfies the E-TM 3.1 specification. In particular, the E-TM 3.1 test specification applies to most high-degree modulation schemes such as 64 QAM at maximum power, and this specification is regarded as the strictest and one of the most important specifications of all the EVM test specifications.

The proposed HPW scheme is compared with the CAF [7] and PW [8] schemes. Table 3 summarizes the performance comparison between the proposed HPW scheme and the existing schemes. As seen in Table 3, the HPW scheme outperforms the CAF and PW schemes in all E-TMs in terms of the EVM and ACLR performance. As described above, both the CAF and PW schemes eliminate the PAPR component regardless of the PAPR signal pattern, which may lead to excessive intentional distortion.

In particular, we verify the differences in EVM performance between the HPW scheme and the existing schemes. We also check the difference in the performance according to E-TM 3.2 and E-TM 3.3, even though they have the same modulation scheme. Because the PAPR pattern in each E-TM is different, the side effects of a PAPR reduction scheme such as EVM degradation will be different for each E-TM. We then verified that the HPW scheme minimizes the side effects of intentional signal distortion by selecting the proper PAPR reduction scheme for the peak signal distribution for all of the E-TMs.

As shown in Tables 1 and 3, the ACLR performance still has a large margin to the specification requirements compared to that of EVM. Therefore, because the critical side effect is EVM, which resulted in degraded performances with the PAPR reduction scheme, we measured the amount by which the EVM degraded with the PAPR reduction level, while still meeting the ACLR requirements. When verifying the minimum PAPR level while satisfying the critical EVM specification, we can reduce the PAPR level to 5.82 dB using the HPW scheme. However, when we use the CAF scheme and PW scheme at a 5.82 dB PAPR level, we obtain EVM performance values of 10.24% and 9.81%, which do not satisfy E-TM 3.1.

Figure 9 depicts the results of the EVM performance for HPW, PW, and CAF schemes using the PAPR value while satisfying the ACLR specification. As seen in Figure 9, the HPW scheme always outperforms PW and CAF schemes for the same PAPR value. We also conducted a test to verify the minimum PAPR level while satisfying EVM standards. As seen in Figure 9, the HPW, PW, and CAF schemes can reduce the PAPR level to 5.82, 6.25, and 6.38 dB, respectively, while satisfying the LTE standards. This means that when we use HPW, we can reduce PAPR to as low as 5.82 dB, enabling us to design a more energy-efficient PA. The relation between the energy efficiency of the PA and the input PAPR is given in Equation 11, which is derived from reference [12]:

where the efficiency, η, is in [%] and the PAPR_{
i
} is in [dB]. G and g are 90.7% and 0.1202, respectively, and indicate the ideal peak efficiency and slope of the PA’s efficiency, respectively. Therefore, the HPW scheme can reduce the power consumption of a PA by much lower than other schemes by controlling the drain voltage of the PA based on the possible reduction level of the PAPR. Consequently, the HPW scheme enhances the PA efficiency by 2.27% and 2.93% when compared to the PW and CAF schemes, respectively. The PA accounts for a large proportion of the power consumption in the overall communication system [13], and reducing the power consumption of a PA is one of the most efficient schemes in the implementation of low-power communication systems. As described in Table 2, even though HPW increases the power consumption of the FPGA because of its implementation complexity, HPW can further reduce the power consumption of a PA depending on its low PAPR characteristics. This leads to an overall power reduction in the communication system. The experimental results for the power consumption are summarized in Table 4, which shows that the HPW scheme is responsible for the largest power consumption in digital transceivers because of increasing FPGA power. However, the HPW scheme has the lowest power consumption in PAs, and its total power is reduced by 5.87 and 4.59 W when compared to the CAF and PW schemes, respectively.

5 Conclusions

In this paper, we proposed a new HPW scheme for OFDM systems. With the proposed HPW scheme, we realized improved performance by selecting a suitable PAPR reduction scheme for the signal amplitude distribution. Even though the performance in terms of the CCDF, EVM, and ACLR are related to many other hardware component characteristics as design metrics, we have demonstrated that the proposed HPW scheme outperforms the CAF and PW schemes. This was achieved using a real LTE system test bed. We also demonstrated that the power consumption could be reduced by the proposed HPW scheme. Because the HPW scheme has the smallest PAPR level compared to others, while still meeting the LTE standard requirements, there was a power reduction of the PA depending on the minimum PAPR. Even though the power consumption of the FPGA resources had increased, the power efficiency of the overall communication system increases because the power reduction of PA is much greater.

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This work was supported partially by the National Research Foundation (NRF) of Korea grant funded by the Korea government (MEST) (no. NRF2012K1A3A1-A09026959).

Author information

Authors and Affiliations

The School of Electrical Engineering, Korea University, Anam-dong, Seongbuk-Gu, Seoul, 136-701, South Korea

Dongwan Kim & Sunshin An

Samsung Electronics Co., Ltd., Suwon-si, Gyeonggi-do, 443-742, South Korea

The authors declare that they have no competing interests.

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Kim, D., An, S. Experimental analysis of PAPR reduction technique using hybrid peak windowing in LTE system.
J Wireless Com Network2015, 75 (2015). https://doi.org/10.1186/s13638-015-0282-9