root/ResearchApps/PHY/WARPLAB/WARPLAB_SISO/M_code/warplab_example_Comm.m
| Revision 797, 14.9 kB (checked in by MelissaDuarte, 12 months ago) |
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| 1 | %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% |
| 2 | % Using Warplab to Transmit Bits Over a Wireless Channel |
| 3 | %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% |
| 4 | % This matlab srcipt generates a bitstream, modulates the bitstream using |
| 5 | % DQPSK, transmits the modulated symbols over a wireless channel using |
| 6 | % Warplab, and demodulates the received signal to obtain the |
| 7 | % transmitted bits. Bit error rate (BER) is computed by comparing the |
| 8 | % transmitted bitstream with the bitstream recovered at the receiver |
| 9 | |
| 10 | % The specific steps implemented in this script are the following: |
| 11 | |
| 12 | % 0. Initialization, define paramters, create pulse shaping filter, and |
| 13 | % create reference matrix for detection of preamble |
| 14 | % 1. Generate a random bit stream and map it to symbols |
| 15 | % 2. Modulate the symbols (map symbols to constellation points) and append |
| 16 | % preamble symbols |
| 17 | % 3. Upsample the modulated symbols with the appended preamble and filter |
| 18 | % using a pulse shaping filter |
| 19 | % 4. Transmit the signal over a wireless channel using Warplab |
| 20 | % 5. Filter the received signal with a Matched Filter (matched to the pulse |
| 21 | % shaping filter), detect preamble, and downsample output of Matched Filter |
| 22 | % 6. Demodulate and recover the transmitted bitstream |
| 23 | % 7. Compute the Bit Error Rate (BER) |
| 24 | |
| 25 | % Part of this code was adapted from Matlab's commdoc_mod and commdoc_rrc |
| 26 | % examples. |
| 27 | |
| 28 | |
| 29 | %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% |
| 30 | % 0. Initialization, define paramters, create pulse shaping filter, and |
| 31 | % create reference matrix for detection of preamble |
| 32 | %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% |
| 33 | % Define basic parameters |
| 34 | M = 4; % Size of signal constellation |
| 35 | k = log2(M); % Number of bits per symbol |
| 36 | nsamp = 8; % Oversampling rate or Number of samples per symbol |
| 37 | |
| 38 | % Define parameters related to the pulse shaping filter and create the |
| 39 | % pulse shaping filter |
| 40 | % This pulse shaping filter is a Squared Root Raised Cosine (SRRC) filter |
| 41 | filtorder = 64; % Filter order |
| 42 | delay = filtorder/(nsamp*2); % Group delay (# of input samples). Group |
| 43 | % delay is the time between the input to the filter and the filter's peak |
| 44 | % response counted in number of input samples. In number of output samples |
| 45 | % the delay would be equal to 'delay*nsam'. |
| 46 | rolloff = 0.3; % Rolloff factor of filter |
| 47 | rrcfilter = rcosine(1,nsamp,'fir/sqrt',rolloff,delay); % Create SRRC filter |
| 48 | |
| 49 | % Plot the filter's impulse response in a stem plot |
| 50 | figure; % Create new figure window. |
| 51 | stem(rrcfilter); |
| 52 | title('Raised Cosine Impulse Response'); |
| 53 | xlabel('n (samples)'); ylabel('Amplitude'); |
| 54 | |
| 55 | % Define number of symbols to process, number of bits to process, and the |
| 56 | % preamble. |
| 57 | % The Warplab transmit buffer can store a maximum of 2^14 samples, the |
| 58 | % number of samples per symbol is equal 'nsam', and the SRRC filter delay |
| 59 | % in number of samples is equal to 'delay*nsam'. Consequently, the total |
| 60 | % number of symbols to be transmitted must be less than 2^14/nsam-2*delay. |
| 61 | nsym = floor(2^14/nsamp-2*delay); % Number or symbols to transmit |
| 62 | preamble = [-1;-1;-1;1;-1;0;0;0;0;0;0;0;0]; % Preamble is a Barker sequence |
| 63 | % modulated with BPSK |
| 64 | nsym_preamble = length(preamble); % number of symbols in preamble |
| 65 | nsym_payload = nsym-nsym_preamble; |
| 66 | nbits = floor(nsym_payload*k); % Number of bits to process |
| 67 | |
| 68 | % Create a reference matrix used for detection of the preamble in the |
| 69 | % received signal. We will correlate the received signal with the reference |
| 70 | % matrix |
| 71 | preamble_upsamp = upsample(preamble,nsamp); % Upsample preamble |
| 72 | length_preamble_upsamp = length(preamble_upsamp); |
| 73 | corr_window = 150; % We expect to find the preamble within the first |
| 74 | % 150 received samples |
| 75 | reference_samples = zeros(corr_window,1); % Create reference vector. |
| 76 | reference_samples(1:length_preamble_upsamp) = preamble_upsamp; |
| 77 | % First samples of reference vector correspond to the |
| 78 | % preamble upsampled |
| 79 | reference_matrix = toeplitz(reference_samples,... |
| 80 | circshift(reference_samples(corr_window:-1:1),1)); |
| 81 | % Create reference matrix. The first column of the reference |
| 82 | % matrix is equal to the reference_samples vector. The i-th column |
| 83 | % of the reference matrix is equal to circular shift of the |
| 84 | % reference samples vector, it is a shift down by i samples. |
| 85 | |
| 86 | |
| 87 | %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% |
| 88 | % 1. Generate a random bit stream and map it to symbols |
| 89 | %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% |
| 90 | % Create a random binary data stream as a column vector. |
| 91 | x = randint(nbits,1); |
| 92 | |
| 93 | % Map bits in vector x into k-bit symbols |
| 94 | xsym = bi2de(reshape(x,k,length(x)/k).','left-msb'); |
| 95 | |
| 96 | % Stem plot of bits and symbols |
| 97 | % Plot first 40 bits in a stem plot. |
| 98 | figure; |
| 99 | subplot(2,1,1) |
| 100 | stem(x(1:40),'filled'); |
| 101 | title('Random Bits'); |
| 102 | xlabel('Bit Index'); ylabel('Binary Value'); |
| 103 | % Plot first 40/k symbols in a stem plot. |
| 104 | subplot(2,1,2) |
| 105 | stem(xsym(1:40/k),'filled'); |
| 106 | title('Random Bits Mapped to Symbols'); |
| 107 | xlabel('Symbol Index'); ylabel('Integer Value'); |
| 108 | |
| 109 | %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% |
| 110 | % 2. Modulate the symbols (map symbols to constellation points) and append |
| 111 | % preamble symbols |
| 112 | %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% |
| 113 | % Modulate using DQPSK |
| 114 | ytx_mod = dpskmod(xsym,M); |
| 115 | |
| 116 | % Append preamble |
| 117 | ytx_mod = [preamble;ytx_mod]; |
| 118 | |
| 119 | %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% |
| 120 | % 3. Upsample the modulated symbols with the appended preamble and filter |
| 121 | % using a pulse shaping filter |
| 122 | %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% |
| 123 | % Upsample and apply square root raised cosine filter. |
| 124 | ytx_mod_filt = rcosflt(ytx_mod,1,nsamp,'filter',rrcfilter); |
| 125 | |
| 126 | % Stem Plot of modulated symbols before and after Squared Root Raised |
| 127 | % Cosine (SRRC) filter |
| 128 | % Plots first 30 symbols. |
| 129 | % Plots I and Q in different windows |
| 130 | figure; % Create new figure window. |
| 131 | subplot(2,1,1) |
| 132 | stem([1:nsamp:nsamp*30],real(ytx_mod(1:30))); |
| 133 | hold |
| 134 | stem(real(ytx_mod_filt(1+delay*nsamp:1+30*nsamp+delay*nsamp)),'r'); |
| 135 | title('I Signal'); |
| 136 | xlabel('n (sample)'); ylabel('Amplitude'); |
| 137 | legend('Before SRRC Filter','After SRRC Filter'); |
| 138 | subplot(2,1,2) |
| 139 | stem([1:nsamp:nsamp*30],imag(ytx_mod(1:30))); |
| 140 | hold |
| 141 | stem(imag(ytx_mod_filt(1+delay*nsamp:1+30*nsamp+delay*nsamp)),'r'); |
| 142 | title('Q Signal'); |
| 143 | xlabel('n (sample)'); ylabel('Amplitude'); |
| 144 | |
| 145 | %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% |
| 146 | % 4. Transmit the signal over a wireless channel using Warplab |
| 147 | %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% |
| 148 | % Follow the steps for transmission and reception of data using Warplab. |
| 149 | % These are the steps in the matlab script warplab_example_TxRx.m |
| 150 | |
| 151 | % In this example the vector to transmit is the 'ytx_mod_filt' vector. The |
| 152 | % capture offset is zero. |
| 153 | |
| 154 | %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% |
| 155 | % 4.0. Initializaton and definition of parameters |
| 156 | %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% |
| 157 | %Load some global definitions (packet types, etc.) |
| 158 | warplab_siso_defines |
| 159 | |
| 160 | % Create Socket handles and intialize nodes |
| 161 | [socketHandles, packetNum] = warplab_initialize; |
| 162 | |
| 163 | %Separate the socket handles for easier access |
| 164 | % The first socket handle is always the magic SYNC |
| 165 | % The rest can be arranged in any combination of Tx and Rx |
| 166 | udp_Sync = socketHandles(1); |
| 167 | udp_Tx = socketHandles(2); |
| 168 | udp_RxA = socketHandles(3); |
| 169 | |
| 170 | % Define the warplab options (parameters) |
| 171 | CaptOffset = 0; %Number of noise samples per Rx capture; in [0:2^14] |
| 172 | TxLength = length(ytx_mod_filt); %Length of transmission; in [0:2^14-CaptOffset] |
| 173 | TxGainBB = 3; %Tx Baseband Gain in [0:3] |
| 174 | TxGainRF = 40; %Tx RF Gain in [0:63] |
| 175 | RxGainBB = 13; %Rx Baseband Gain in [0:31] |
| 176 | RxGainRF = 1; %Rx RF Gain in [1:3] |
| 177 | CarrierChannel = 11; |
| 178 | |
| 179 | % Define the options vector; the order of options is set by the FPGA's code |
| 180 | % (C code) |
| 181 | optionsVector = [CaptOffset TxLength-1 (RxGainBB + RxGainRF*2^16) (TxGainRF + TxGainBB*2^16) CarrierChannel]; |
| 182 | % Send options vector to the nodes |
| 183 | warplab_setOptions(socketHandles,optionsVector); |
| 184 | |
| 185 | %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% |
| 186 | % 4.1. Generate a vector of samples to transmit and send the samples to the |
| 187 | % Warp board (Sample Frequency is 40MHz) |
| 188 | %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% |
| 189 | % Prepare some data to be transmitted |
| 190 | |
| 191 | % Scale signal to transmit so that it spans [-1,1] range. We do this to |
| 192 | % use the full range of the DAC at the tranmitter |
| 193 | scale = 1 / max( [ max(real(ytx_mod_filt)) , max(imag(ytx_mod_filt)) ] ); |
| 194 | ytx_mod_filt = scale*ytx_mod_filt; |
| 195 | |
| 196 | TxData = ytx_mod_filt.'; % Create a signal to transmit. Signal must be a |
| 197 | % row vector |
| 198 | |
| 199 | % Download the samples to be transmitted |
| 200 | warplab_writeSMWO(udp_Tx, TxData, RADIO2_TXDATA); |
| 201 | |
| 202 | %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% |
| 203 | % 4.2. Prepare boards for transmission and reception and send trigger to |
| 204 | % start transmission and reception (trigger is the SYNC packet) |
| 205 | %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% |
| 206 | % Enable transmission |
| 207 | warplab_enableTx(udp_Tx); |
| 208 | |
| 209 | % Enable reception |
| 210 | warplab_enableRx(udp_RxA); |
| 211 | |
| 212 | % Send the SYNC packet |
| 213 | warplab_sendSync(udp_Sync); |
| 214 | |
| 215 | %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% |
| 216 | % 4.3. Read the received smaples from the Warp board |
| 217 | %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% |
| 218 | % Read back the received samples |
| 219 | [RawRxData] = warplab_readSMRO(udp_RxA, RADIO2_RXDATA, TxLength+CaptOffset); |
| 220 | % Process the received samples to obtain meaningful data |
| 221 | [RxData,RxOTR] = warplab_processRawRxData(RawRxData); |
| 222 | % Read stored RSSI data |
| 223 | [RawRSSIData] = warplab_readSMRO(udp_RxA, RADIO2_RSSIDATA, (TxLength+CaptOffset)/8); |
| 224 | % Procecss Raw RSSI data to obtain meningful RSSI values |
| 225 | [RxRSSI] = warplab_processRawRSSIData(RawRSSIData); |
| 226 | |
| 227 | %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% |
| 228 | % 4.4. Reset and disable the boards |
| 229 | %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% |
| 230 | % Reset the receiver |
| 231 | warplab_sendCmd(udp_RxA, RX_DONEREADING, packetNum); |
| 232 | |
| 233 | % Disable the receiver |
| 234 | warplab_sendCmd(udp_RxA, RADIO2_RXDIS, packetNum); |
| 235 | |
| 236 | % Disable the transmitter |
| 237 | warplab_sendCmd(udp_Tx, RADIO2_TXDIS, packetNum); |
| 238 | |
| 239 | % Close sockets |
| 240 | pnet('closeall'); |
| 241 | |
| 242 | %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% |
| 243 | % 4.5. Plot the transmitted and received data |
| 244 | %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% |
| 245 | figure; |
| 246 | subplot(2,2,1); |
| 247 | plot(real(TxData)); |
| 248 | title('Tx I'); |
| 249 | xlabel('n (samples)'); ylabel('Amplitude'); |
| 250 | axis([0 2^14 -1 1]); % Set axis ranges. |
| 251 | subplot(2,2,2); |
| 252 | plot(imag(TxData)); |
| 253 | title('Tx Q'); |
| 254 | xlabel('n (samples)'); ylabel('Amplitude'); |
| 255 | axis([0 2^14 -1 1]); % Set axis ranges. |
| 256 | subplot(2,2,3); |
| 257 | plot(real(RxData)); |
| 258 | title('Rx I'); |
| 259 | xlabel('n (samples)'); ylabel('Amplitude'); |
| 260 | axis([0 2^14 -1 1]); % Set axis ranges. |
| 261 | subplot(2,2,4); |
| 262 | plot(imag(RxData)); |
| 263 | title('Rx Q'); |
| 264 | xlabel('n (samples)'); ylabel('Amplitude'); |
| 265 | axis([0 2^14 -1 1]); % Set axis ranges. |
| 266 | |
| 267 | %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% |
| 268 | % 5. Filter the received signal with a Matched Filter (matched to the pulse |
| 269 | % shaping filter), detect preamble, and downsample output of Matched Filter |
| 270 | %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% |
| 271 | % Store received samples as a column vector |
| 272 | yrx_bb = RxData.'; |
| 273 | |
| 274 | % Matched filter: Filter received signal using the SRRC filter |
| 275 | yrx_bb_mf = rcosflt(yrx_bb,1,nsamp,'Fs/filter',rrcfilter); |
| 276 | |
| 277 | % Correlate with the reference matrix to find preamble sequence |
| 278 | correlation = abs( (yrx_bb_mf(1:corr_window).') * reference_matrix ); |
| 279 | preamble_start = find(correlation == max(correlation)); % Start of preamble |
| 280 | first_sample_index = preamble_start+length_preamble_upsamp; % Start of |
| 281 | % first symbol after preamble |
| 282 | |
| 283 | % Downsample output of Matched Filter |
| 284 | yrx_bb_mf_ds = yrx_bb_mf(first_sample_index:end); |
| 285 | yrx_bb_mf_ds = downsample(yrx_bb_mf_ds,nsamp); |
| 286 | % Account for delay of filter |
| 287 | yrx_bb_mf_ds = yrx_bb_mf_ds(1:end-2*delay); % Twice delay because signal |
| 288 | % goes through 2 filtering stages |
| 289 | |
| 290 | % Stem Plot of signal before Matched Filter, after Matched Filter, and |
| 291 | % after downsampling |
| 292 | % Plots first 30 symbols. |
| 293 | % Plots real and imaginary parts in different windows |
| 294 | figure; % Create new figure window. |
| 295 | subplot(2,1,1) |
| 296 | stem(real(yrx_bb(1+2*delay*nsamp+first_sample_index:1+2*delay*nsamp+... |
| 297 | first_sample_index+30*nsamp)),'b'); |
| 298 | hold |
| 299 | stem(real(yrx_bb_mf(first_sample_index:first_sample_index+30*nsamp)),'r'); |
| 300 | stem([1:nsamp:nsamp*30],real(yrx_bb_mf_ds(1:30)),'k'); |
| 301 | title('I Symbols'); |
| 302 | xlabel('n (sample)'); ylabel('Amplitude'); |
| 303 | legend('Before Matched Filter','After Matched Filter','After Downsample'); |
| 304 | subplot(2,1,2) |
| 305 | stem(imag(yrx_bb(first_sample_index:first_sample_index+30*nsamp)),'b'); |
| 306 | hold |
| 307 | stem(imag(yrx_bb_mf(first_sample_index:first_sample_index+30*nsamp)),'r'); |
| 308 | stem([1:nsamp:nsamp*30],imag(yrx_bb_mf_ds(1:30)),'k'); |
| 309 | title('Q Symbols'); |
| 310 | xlabel('n (sample)'); ylabel('Amplitude'); |
| 311 | |
| 312 | % Scatter Plot of received and transmitted constellation points |
| 313 | h = scatterplot(yrx_bb_mf_ds(nsym_preamble+1:end),1,0,'g.'); |
| 314 | hold on; |
| 315 | scatterplot(ytx_mod(nsym_preamble+1:end),1,0,'k*',h); |
| 316 | title('Constellations'); |
| 317 | legend('Received','Transmitted'); |
| 318 | axis([-2 2 -2 2]); % Set axis ranges. |
| 319 | hold off; |
| 320 | |
| 321 | %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% |
| 322 | % 6. Demodulate and recover the transmitted bitstream |
| 323 | %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% |
| 324 | % Demodulate signal using DQPSK |
| 325 | zsym = dpskdemod(yrx_bb_mf_ds,M); |
| 326 | |
| 327 | % Map Symbols to Bits |
| 328 | z = de2bi(zsym,'left-msb'); % Convert integers to bits. |
| 329 | % Convert z from a matrix to a vector. |
| 330 | z = reshape(z.',prod(size(z)),1); |
| 331 | |
| 332 | % Plot first 80 transmitted bits and first 80 received bits in a stem plot |
| 333 | figure; |
| 334 | subplot(2,1,1) |
| 335 | stem(x(1:80),'filled'); |
| 336 | title('Transmitted Bits'); |
| 337 | xlabel('Bit Index'); ylabel('Binary Value'); |
| 338 | subplot(2,1,2) |
| 339 | stem(z(1:80),'filled'); |
| 340 | title('Received Bits'); |
| 341 | xlabel('Bit Index'); ylabel('Binary Value'); |
| 342 | |
| 343 | %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% |
| 344 | % 7. Compute the Bit Error Rate (BER) |
| 345 | %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% |
| 346 | % Compare x and z to obtain the number of errors and the bit error rate |
| 347 | [number_of_errors,bit_error_rate] = biterr(x(3:length(z)),z(3:length(z))) |
| 348 | % We start comparing at three because the first two bits are the are always |
| 349 | % lost in DQPSK. We compare until length(z) because z may be shorter than |
| 350 | % x due to the fact that some bits (approx 1 to 5) may be lost fue to the |
| 351 | % jitter of the synch pulse. |
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