LTE系统调试记录14：频谱感知模块——UE/BS端采用多窗谱算法测量频谱
2024-05-20 23:57:37
MATLAB中对多窗谱算法仿真
产生DPSS序列，然后分别对接收信号进行加窗，最后取平均得到多窗谱估计值，算法如下：
clc;
clear all;
close all;%对信号采样数据为2048点的处理
fs=40*10^6;
NFFT=2048;
n=0:NFFT-1;
t=n/fs;
NW=2;num_seq = 2 * NW - 1;
x=500 * sin(2*pi*5*10^6*t) + 400 * cos(2*pi*10*10^6*t) + randn(1, NFFT); %信号
yy=20 * sin(20*pi*5*10^6*t) + randn(1, NFFT); %信号
y=fft(x+yy*i,NFFT); %对信号进行快速Fourier变换
mag=abs(y); %求取Fourier变换的振幅
f=n*fs/NFFT;
% subplot(2,2,1),plot(f,mag); %绘出随频率变化的振幅
% xlabel('频率/Hz');ylabel('振幅');title('N=1024');grid on;subplot(2,2,1);plot(f(1:NFFT/2),mag(1:NFFT/2)); %绘出Nyquist频率之前随频率变化的振幅
xlabel('频率/Hz');ylabel('振幅');title('N=2048');grid on;[Pxx,f]=pmtm(x,NW,NFFT,fs,'onesided');
subplot(2,2,2);plot(f,10*log10(Pxx));
xlabel('频率/Hz');ylabel('功率/dB');title('pmtm估计结果');grid on;[dps_seq,lambda] = dpss(NFFT,NW);
subplot(2,2,3); plot(dps_seq);
title('Slepian Sequences, N = 2048, NW = 2.5')
axis([0 2048 -0.15 0.15])
legend('1st','2nd','3rd','Location','Best');
Sum = zeros(1,NFFT);for i=1:num_seqSum = Sum + lambda(i) * (abs(fft(dps_seq(:,i)' .* (x+yy*1i), NFFT)) .^ 2) / sum(lambda);end
Sum_dB = 10 * log10(Sum/num_seq);
subplot(2,2,4);plot(f,Sum_dB(1:1025));
xlabel('频率/Hz');ylabel('功率/dB');title('dpss估计结果');grid on;
仿真结果如下，可以看到在接收信号的对应频点有较高的功率值，可以选择合适的门限值，用于判定此频段是否存在信号。
将MATLAB中的DPSS序列导出，用于CCS程序
产生DPSS序列以及对数据进行处理生成DSP格式数据的MATLAB函数如下，最终数据保存在dpss_seq.txt文件中，需要手动删除最后的0x。
此DPSS序列的实部是原值左移16位得到的，前面补零是为了能够调用CCS中自带的汇编函数进行复数乘法运算，因为CCS中设置为小端模式存储数据，所以导出的数据格式为qi（虚部在前 实部在后），下面有介绍。
NFFT=2048;NW=2;
[dps_seq,lambda] = dpss(NFFT,NW);
dps_seq_hex = zeros(2048, 2*NW-1);
for i = 1:2*NW-1dps_seq_hex(:,i) = real(dps_seq(:,i)) + (real(dps_seq(:,i)) < 0)*2^16;dps_seq_hex(:,i) = dps_seq_hex(:,i) * 2 ^ 16;
enddps_seq_hex1 = dec2hex(round(dps_seq_hex(:,1)),4)';%十六进制
dps_seq_hex2 = dec2hex(round(dps_seq_hex(:,2)),4)';%十六进制
dps_seq_hex3 = dec2hex(round(dps_seq_hex(:,3)),4)';%十六进制
dps_seq_hex2 = dps_seq_hex2(5:8,:);
dps_seq_hex3 = dps_seq_hex3(5:8,:);zero_4line = [dec2hex(zeros(1,2048))';dec2hex(zeros(1,2048))';dec2hex(zeros(1,2048))';dec2hex(zeros(1,2048))'];
dps_seq_hex1 = [zero_4line;dps_seq_hex1];
dps_seq_hex2 = [zero_4line;dps_seq_hex2];
dps_seq_hex3 = [zero_4line;dps_seq_hex3];fid = fopen('dpss_seq.txt', 'w+');fprintf(fid, '0x');
for i=1:1:2048if mod(i, 8) == 0fprintf(fid, '%c', dps_seq_hex1(i));fprintf(fid, ', 0x');elsefprintf(fid, '%c', dps_seq_hex1(i));end
end
fprintf(fid, '\r\n');fprintf(fid, '0x');
for i=1:1:2048if mod(i, 8) == 0fprintf(fid, '%c', dps_seq_hex2(i));fprintf(fid, ', 0x');elsefprintf(fid, '%c', dps_seq_hex2(i));end
end
fprintf(fid, '\r\n');fprintf(fid, '0x');
for i=1:1:2048if mod(i, 8) == 0fprintf(fid, '%c', dps_seq_hex3(i));fprintf(fid, ', 0x');else fprintf(fid, '%c', dps_seq_hex3(i));end
end
fclose(fid);
导出的DPSS数据为：
UINT DPSS_Sequence[3][2048] = {//此DPSS序列的实部是原值左移16位得到的，前面补零是为了能够调用自带的汇编函数进行复数乘法运算 qi, qi, qi0x00000026, 0x00000027, 0x00000028, 0x00000028, 0x00000029, 0x00000029, 0x0000002A, 0x0000002B, 0x0000002B, 0x0000002C, 0x0000002D, 0x0000002D, 0x0000002E, 0x0000002F, 0x00000030, 0x00000030, 0x00000031, 0x00000032, 0x00000032, 0x00000033, 0x00000034, 0x00000035, 0x00000035, 0x00000036, 0x00000037, 0x00000038, 0x00000038, 0x00000039, 0x0000003A, 0x0000003B, 0x0000003B, 0x0000003C, 0x0000003D, 0x0000003E, 0x0000003F, 0x0000003F, 0x00000040, 0x00000041, 0x00000042, 0x00000043, 0x00000044, 0x00000044, 0x00000045, 0x00000046, 0x00000047, 0x00000048, 0x00000049, 0x0000004A, 0x0000004A, 0x0000004B, 0x0000004C, 0x0000004D, 0x0000004E, 0x0000004F, 0x00000050, 0x00000051, 0x00000052, 0x00000053, 0x00000053, 0x00000054, 0x00000055, 0x00000056, 0x00000057, 0x00000058, 0x00000059, 0x0000005A, 0x0000005B, 0x0000005C, 0x0000005D, 0x0000005E, 0x0000005F, 0x00000060, 0x00000061, 0x00000062, 0x00000063, 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0x00000797, 0x0000079A, 0x0000079D, 0x000007A0, 0x000007A3, 0x000007A6, 0x000007A9, 0x000007AC, 0x000007AF, 0x000007B2, 0x000007B5, 0x000007B8, 0x000007BA, 0x000007BD, 0x000007C0, 0x000007C3, 0x000007C5, 0x000007C8, 0x000007CB, 0x000007CD, 0x000007D0, 0x000007D2, 0x000007D5, 0x000007D7, 0x000007DA, 0x000007DC, 0x000007DE, 0x000007E1, 0x000007E3, 0x000007E5, 0x000007E7, 0x000007EA, 0x000007EC, 0x000007EE, 0x000007F0, 0x000007F2, 0x000007F4, 0x000007F6, 0x000007F8, 0x000007FA, 0x000007FC, 0x000007FE, 0x00000800, 0x00000801, 0x00000803, 0x00000805, 0x00000807, 0x00000808, 0x0000080A, 0x0000080B, 0x0000080D, 0x0000080F, 0x00000810, 0x00000812, 0x00000813, 0x00000814, 0x00000816, 0x00000817, 0x00000818, 0x0000081A, 0x0000081B, 0x0000081C, 0x0000081D, 0x0000081E, 0x00000820, 0x00000821, 0x00000822, 0x00000823, 0x00000824, 0x00000825, 0x00000826, 0x00000826, 0x00000827, 0x00000828, 0x00000829, 0x0000082A, 0x0000082A, 0x0000082B, 0x0000082C, 0x0000082C, 0x0000082D, 0x0000082D, 0x0000082E, 0x0000082E, 0x0000082F, 0x0000082F, 0x00000830, 0x00000830, 0x00000830, 0x00000831, 0x00000831, 0x00000831, 0x00000831, 0x00000832, 0x00000832, 0x00000832, 0x00000832, 0x00000832, 0x00000832, 0x00000832, 0x00000832, 0x00000832, 0x00000832, 0x00000832, 0x00000831, 0x00000831, 0x00000831, 0x00000831, 0x00000830, 0x00000830, 0x00000830, 0x0000082F, 0x0000082F, 0x0000082E, 0x0000082E, 0x0000082D, 0x0000082D, 0x0000082C, 0x0000082C, 0x0000082B, 0x0000082A, 0x0000082A, 0x00000829, 0x00000828, 0x00000827, 0x00000826, 0x00000826, 0x00000825, 0x00000824, 0x00000823, 0x00000822, 0x00000821, 0x00000820, 0x0000081F, 0x0000081E, 0x0000081C, 0x0000081B, 0x0000081A, 0x00000819, 0x00000818, 0x00000816, 0x00000815, 0x00000814, 0x00000812, 0x00000811, 0x0000080F, 0x0000080E, 0x0000080C, 0x0000080B, 0x00000809, 0x00000808, 0x00000806, 0x00000805, 0x00000803, 0x00000801, 0x000007FF, 0x000007FE, 0x000007FC, 0x000007FA, 0x000007F8, 0x000007F6, 0x000007F5, 0x000007F3, 0x000007F1, 0x000007EF, 0x000007ED, 0x000007EB, 0x000007E9, 0x000007E7, 0x000007E4, 0x000007E2, 0x000007E0, 0x000007DE, 0x000007DC, 0x000007D9, 0x000007D7, 0x000007D5, 0x000007D3, 0x000007D0, 0x000007CE, 0x000007CB, 0x000007C9, 0x000007C7, 0x000007C4, 0x000007C2, 0x000007BF, 0x000007BC, 0x000007BA, 0x000007B7, 0x000007B5, 0x000007B2, 0x000007AF, 0x000007AC, 0x000007AA, 0x000007A7, 0x000007A4, 0x000007A1, 0x0000079E, 0x0000079C, 0x00000799, 0x00000796, 0x00000793, 0x00000790, 0x0000078D, 0x0000078A, 0x00000787, 0x00000784, 0x00000781, 0x0000077E, 0x0000077A, 0x00000777, 0x00000774, 0x00000771, 0x0000076E, 0x0000076A, 0x00000767, 0x00000764, 0x00000760, 0x0000075D, 0x0000075A, 0x00000756, 0x00000753, 0x0000074F, 0x0000074C, 0x00000748, 0x00000745, 0x00000741, 0x0000073E, 0x0000073A, 0x00000737, 0x00000733, 0x0000072F, 0x0000072C, 0x00000728, 0x00000724, 0x00000721, 0x0000071D, 0x00000719, 0x00000715, 0x00000712, 0x0000070E, 0x0000070A, 0x00000706, 0x00000702, 0x000006FE, 0x000006FA, 0x000006F6, 0x000006F2, 0x000006EE, 0x000006EA, 0x000006E6, 0x000006E2, 0x000006DE, 0x000006DA, 0x000006D6, 0x000006D2, 0x000006CE, 0x000006CA, 0x000006C6, 0x000006C1, 0x000006BD, 0x000006B9, 0x000006B5, 0x000006B0, 0x000006AC, 0x000006A8, 0x000006A4, 0x0000069F, 0x0000069B, 0x00000697, 0x00000692, 0x0000068E, 0x00000689, 0x00000685, 0x00000680, 0x0000067C, 0x00000678, 0x00000673, 0x0000066F, 0x0000066A, 0x00000665, 0x00000661, 0x0000065C, 0x00000658, 0x00000653, 0x0000064E, 0x0000064A, 0x00000645, 0x00000641, 0x0000063C, 0x00000637, 0x00000632, 0x0000062E, 0x00000629, 0x00000624, 0x0000061F, 0x0000061B, 0x00000616, 0x00000611, 0x0000060C, 0x00000607, 0x00000603, 0x000005FE, 0x000005F9, 0x000005F4, 0x000005EF, 0x000005EA, 0x000005E5, 0x000005E0, 0x000005DB, 0x000005D6, 0x000005D2, 0x000005CD, 0x000005C8, 0x000005C3, 0x000005BE, 0x000005B9, 0x000005B3, 0x000005AE, 0x000005A9, 0x000005A4, 0x0000059F, 0x0000059A, 0x00000595, 0x00000590, 0x0000058B, 0x00000586, 0x00000581, 0x0000057B, 0x00000576, 0x00000571, 0x0000056C, 0x00000567, 0x00000562, 0x0000055C, 0x00000557, 0x00000552, 0x0000054D, 0x00000548, 0x00000542, 0x0000053D, 0x00000538, 0x00000533, 0x0000052D, 0x00000528, 0x00000523, 0x0000051D, 0x00000518, 0x00000513, 0x0000050D, 0x00000508, 0x00000503, 0x000004FE, 0x000004F8, 0x000004F3, 0x000004ED, 0x000004E8, 0x000004E3, 0x000004DD, 0x000004D8, 0x000004D3, 0x000004CD, 0x000004C8, 0x000004C2, 0x000004BD, 0x000004B8, 0x000004B2, 0x000004AD, 0x000004A7, 0x000004A2, 0x0000049D, 0x00000497, 0x00000492, 0x0000048C, 0x00000487, 0x00000481, 0x0000047C, 0x00000477, 0x00000471, 0x0000046C, 0x00000466, 0x00000461, 0x0000045B, 0x00000456, 0x00000450, 0x0000044B, 0x00000445, 0x00000440, 0x0000043A, 0x00000435, 0x00000430, 0x0000042A, 0x00000425, 0x0000041F, 0x0000041A, 0x00000414, 0x0000040F, 0x00000409, 0x00000404, 0x000003FE, 0x000003F9, 0x000003F3, 0x000003EE, 0x000003E8, 0x000003E3, 0x000003DD, 0x000003D8, 0x000003D2, 0x000003CD, 0x000003C7, 0x000003C2, 0x000003BC, 0x000003B7, 0x000003B1, 0x000003AC, 0x000003A7, 0x000003A1, 0x0000039C, 0x00000396, 0x00000391, 0x0000038B, 0x00000386, 0x00000380, 0x0000037B, 0x00000375};将MALTAB程序转换为CCS程序
/** Input1:ReceiveDataSrcAddr 上行数据的地址* Output:SpectrumSensingValue 频谱感知结果，代表RF各个频段的占用情况
*/
INT SpectrumSensing(UCHAR *ReceiveDataSrcAddr)
{UINT FFTSize = 2048;//UINT time_halfbandwidth = 2;DOUBLE lambda[3] = {0.999942754279609, 0.997561731631796, 0.959390524506628};DOUBLE lambdaSum = 0.999942754279609 + 0.997561731631796 + 0.959390524506628;STRU_DP_DATA_MOVE_INPUT t_struLLDMEMCPYInput;STRU_DP_DATA_MOVE_PARA struPara;STRU_DP_DATA_MOVE_OPTION struMoveOption;INT RFCenterFreq[3] = {576, 596, 616};//3段频谱的中心频点strRFCtrlSend strRFCtrlMsg;//RF参数strRFCtrlMsg.COMMAND_NO = AFC_FREQUENCY_SETTING;//工作模式为设置频点模式strRFCtrlMsg.SETTING_OPTION = RF_AFC_Mode_NORMAL;//设置RF为正常模式//函数中不能存放下面的大数组，否则在拷贝数据的时候会出未知错误，将其放置于全局数组 18.3.7
// UCHAR t_aucInputBuf[2048*4]; //每个符号时域2048个点
// UINT t_aucInputBufDPSSResult[2048]; //DPSS和采样数据相乘结果，即加多窗谱窗
// INT DPSSResultFFT[2048]; //DPSS和采样数据相乘结果的FFTDOUBLE DPSSResultSum = 0;//STRU_DFT_INPUT t_struDFTInput;//STRU_DFT_OUTPUT t_struDFTOutput;UINT t_uiEDMA3ChanID;int i,j;gen_twiddle_fft16x16(t_anDFTgsh2048, FFTSize);//生成系数表//DFT_Init();//用来生成2048点DFT的系数表，不生成的话会产生问题：做完DFT后源数据和目的数据都会变为0 18.03.10//依次切换RF的中心频点,进行频谱扫描,得到对应频段下的数据，使用多窗谱估计算法判断频段占用情况for(i=0; i<3; i++){strRFCtrlMsg.SETTING_DIRECT = RFCenterFreq[i];//改变频点值RF_generate_ctrl_message(RF_ctrl_message, &strRFCtrlMsg);RF_ctrl_gpio_send(RF_ctrl_message, 9 + RF_command_len[strRFCtrlMsg.COMMAND_NO] + 1); // 控制RF切换频点//搬移gucUlMonoDDRDescRegion中任意2048点数据到t_aucInputBufUCHAR* t_pucInputAntennaDataAddr = (UCHAR *)(ReceiveDataSrcAddr + 122880*6);//任取1ms中的第1个符号数据t_struLLDMEMCPYInput.m_pstruPara = &struPara;t_struLLDMEMCPYInput.m_pstruMoveOption = &struMoveOption;t_struLLDMEMCPYInput.m_uiDstDspId= g_uiLocalDSPID;t_struLLDMEMCPYInput.m_uiDstCoreId = g_uiLocalCoreID;t_struLLDMEMCPYInput.m_uiSrcDspId = g_uiLocalDSPID;t_struLLDMEMCPYInput.m_uiSrcCoreId = g_uiLocalCoreID;t_struLLDMEMCPYInput.m_eEnd = DP_DATA_MOVE_FEEDBACK;t_struLLDMEMCPYInput.m_ePri = DP_DATA_MOVE_NORMAL;//DP_DATA_MOVE_HIGHTt_struLLDMEMCPYInput.m_eMode = DP_DATA_MOVE_BLK;//DP_DATA_MOVE_NON_BLKt_struLLDMEMCPYInput.m_uiParaNum = 1;t_struLLDMEMCPYInput.m_pstruPara->m_pucDstAddr = (UCHAR *)t_aucInputBuf;//目的地址t_struLLDMEMCPYInput.m_pstruPara->m_pucSrcAddr = t_pucInputAntennaDataAddr;//源地址t_struLLDMEMCPYInput.m_pstruPara->m_uiByteNum = FFTSize*sizeof(COMPLEX);//数据大小t_struLLDMEMCPYInput.m_nwbflag = 0x12345678;t_uiEDMA3ChanID = DP_dataMove(&t_struLLDMEMCPYInput);DP_dataMoveQuery(t_uiEDMA3ChanID);for(j=0; j<3; j++){Bas_CplxShrMul16((SHORT*)&DPSS_Sequence[j],(SHORT*)t_aucInputBuf,(SHORT*)&t_aucInputBufDPSSResult,16,//右移16位，因为DPSS序列左移了16位FFTSize);// DP_cacheWriteBack((UCHAR*)t_aucInputBufDPSSResult, 4*2048, CACHE_WAIT);//=======================FFT===============================DSP_fft16x16((SHORT *)t_anDFTgsh2048, 2048,(SHORT*)t_aucInputBufDPSSResult, (SHORT *)DPSSResultFFT);//t_struDFTInput.m_eDFT = ENUM_DFT;//t_struDFTInput.m_pnSrc = (SHORT*)t_aucInputBufDPSSResult;//t_struDFTInput.m_uiDFTLen = FFTSize;//t_struDFTOutput.m_pnDst = (SHORT *)DPSSResultFFT;//DFT(&t_struDFTInput, &t_struDFTOutput); //FFT//Bas_Abs16(t_struDFTOutput.m_pnDst,FFTSize*2); //取绝对值，得到IQ绝对幅度，2048个sample对应2048*2个shortBas_Pow16s32((SHORT *)DPSSResultFFT,DPSSResultFFTPow16s32,FFTSize);//求每个Complex的I2+Q2DPSSResultSum += lambda[i] * Bas_ShrSum32(DPSSResultFFTPow16s32,12,FFTSize) / lambdaSum;//2048个int求和，右移0位，然后加权求和}DPSSResultSum /= 3;if(DPSSResultSum > MTMThreshold)SpectrumSensingValue |= (1 << (2-i));//将某个频段的感知结果保存到SpectrumSensingValue中的对应位}SpectrumSensingFinishFlag = 1;return SpectrumSensingValue;
}出现问题及解决方案
DSP6670函数中不能存放大数组
DSP6670函数中不能存放大数组，否则在拷贝数据的时候会出未知错误，需要全局定义。
DOUBLE SpectrumSensing()
{UINT FFTSize = 2048;//UINT time_halfbandwidth = 2;DOUBLE lambda[3] = {0.999942754279609, 0.997561731631796, 0.959390524506628};DOUBLE lambdaSum = 0.999942754279609 + 0.997561731631796 + 0.959390524506628;STRU_DP_DATA_MOVE_INPUT t_struLLDMEMCPYInput;STRU_DP_DATA_MOVE_PARA struPara;STRU_DP_DATA_MOVE_OPTION struMoveOption;//函数中不能存放下面的大数组，否则在拷贝数据的时候会出未知错误，将其放置于全局 18.3.7
// UCHAR t_aucInputBuf[2048*4]; //每个符号时域2048个点
// UINT t_aucInputBufDPSSResult[2048]; //DPSS和采样数据相乘结果，即加多窗谱窗
// INT DPSSResultFFT[2048]; //DPSS和采样数据相乘结果的FFTDOUBLE DPSSResultSum = 0;......实现实数数组和复数数组相乘
如何调用Bas_CplxShrMul16函数实现实数数组和复数数组相乘？
1、首先介绍大小端模式：
大端模式，是指数据的高字节保存在内存的低地址中，而数据的低字节保存在内存的高地址中，这样的存储模式有点儿类似于把数据当作字符串顺序处理：地址由小向大增加，而数据从高位往低位放；这和我们的阅读习惯一致。
小端模式，是指数据的高字节保存在内存的高地址中，而数据的低字节保存在内存的低地址中，这种存储模式将地址的高低和数据位权有效地结合起来，高地址部分权值高，低地址部分权值低。
2、在DSP的属性中设置为小端模式：
3、调用Bas_CplxShrMul16函数实现相乘
实数数组中的每个数据的高2字节为0（即虚部为0），低2字节为实际实数（实部），见上面导出的DPSS序列。
因为存储到内存中的数据按照小端模式存放，即高字节存放在内存的高地址，低字节存放在内存的低地址：
调用Bas_CplxShrMul16函数相乘：
extern void Bas_CplxShrMul16(const short *x, const short *y,short *z, int t, int nx);
x、y：两个指向复数数组的指针；
z：复数相乘结果；
t：相乘结果右移的位数；
nx：数据长度。
该函数按照地址从小到大的顺序，依次取出x、y的复数进行相乘(a+bi) * (c+di) = (ac-bd) + (ad+bc)i，结果依次存放于z中，当b=0时，就可以实现实数数组和复数数组相乘：
UINT DPSS_Sequence[3][2048];
UCHAR t_aucInputBuf[2048*4]; //每个符号时域2048个点
UINT t_aucInputBufDPSSResult[2048]; //DPSS和采样数据相乘结果，即加多窗谱窗
Bas_CplxShrMul16((SHORT*)&DPSS_Sequence[i],(SHORT*)t_aucInputBuf,(SHORT*)&t_aucInputBufDPSSResult,16,//右移16位，因为DPSS序列左移了16位FFTSize);相乘示意图如下：
L2SRAM_DATA_CORE0空间不足问题
加了频谱感知代码之后，L2SRAM_DATA_CORE0空间出现不足的问题，下面介绍如何查看L2SRAM_DATA_CORE0中存放了哪些段，以及这些段中存放的是哪些文件中的数据。
空间不足问题出错界面
可以看到编译出错，提示分配空间不足，C6670_Core0.map文件中L2SRAM_DATA_CORE0剩余空间为0：
查看哪些段分配到L2SRAM_DATA_CORE0空间中
在app_core0.cfg文件中搜索L2SRAM_DATA_CORE0，可以看到下图中的段分配到了此空间下：
查看哪个段占据空间大，修改对应程序以减小程序空间
在C6670_Core0.map文件中查看.text段中存放了哪些文件中的代码，可以看到TSK_L1Schedule.c占据了比较大的空间，所以查看此文件中是否有大数组之类的数据定义。
将数组分配到其他空间
在app_core0.cfg文件中自定义段.gsh_sect，然后将其分配到空间MSMCSRAM_CORE0中：
在TSK_L1Schedule.c文件中使用命令#pragma将数组指定到自定义段：
查看空间使用情况，发现问题解决
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