I have a matrix 592*2 from this I got a curve, now I need to calculate full width half maximum , how to do it?

Question

Diptanu Das on 22 Jun 2022

0
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Direct link to this question

https://nl.mathworks.com/matlabcentral/answers/1745415-i-have-a-matrix-592-2-from-this-i-got-a-curve-now-i-need-to-calculate-full-width-half-maximum-how

Answered: Star Strider on 22 Jun 2022

B =

0 0.0005

0.0014 0.0005

0.0029 0.0005

0.0049 0.0005

0.0073 0.0005

0.0099 0.0005

0.0126 0.0005

0.0155 0.0005

0.0188 0.0005

0.0222 0.0005

0.0258 0.0005

0.0294 0.0005

0.0331 0.0005

0.0367 0.0005

0.0404 0.0005

0.0440 0.0005

0.0477 0.0005

0.0513 0.0005

0.0550 0.0005

0.0586 0.0005

0.0623 0.0005

0.0659 0.0005

0.0696 0.0005

0.0732 0.0005

0.0769 0.0005

0.0805 0.0005

0.0841 0.0005

0.0878 0.0005

0.0914 0.0005

0.0951 0.0005

0.0987 0.0005

0.1024 0.0005

0.1060 0.0005

0.1097 0.0005

0.1133 0.0005

0.1170 0.0005

0.1206 0.0005

0.1243 0.0004

0.1279 0.0004

0.1316 0.0004

0.1352 0.0004

0.1389 0.0004

0.1425 0.0004

0.1462 0.0004

0.1498 0.0004

0.1535 0.0004

0.1571 0.0004

0.1608 0.0004

0.1644 0.0004

0.1681 0.0003

0.1717 0.0003

0.1754 0.0003

0.1790 0.0003

0.1827 0.0003

0.1863 0.0003

0.1899 0.0003

0.1936 0.0002

0.1972 0.0002

0.2009 0.0002

0.2045 0.0002

0.2082 0.0001

0.2118 0.0001

0.2155 0.0001

0.2191 0.0001

0.2228 0.0000

0.2264 0.0000

0.2301 0.0000

0.2337 0.0000

0.2374 0.0001

0.2410 0.0001

0.2447 0.0002

0.2483 0.0002

0.2520 0.0002

0.2556 0.0003

0.2593 0.0003

0.2629 0.0004

0.2666 0.0004

0.2702 0.0005

0.2739 0.0005

0.2775 0.0006

0.2812 0.0006

0.2848 0.0007

0.2884 0.0007

0.2921 0.0008

0.2957 0.0009

0.2994 0.0009

0.3030 0.0010

0.3067 0.0011

0.3103 0.0011

0.3140 0.0012

0.3176 0.0013

0.3213 0.0013

0.3249 0.0014

0.3286 0.0015

0.3322 0.0016

0.3359 0.0016

0.3395 0.0017

0.3432 0.0018

0.3468 0.0018

0.3505 0.0019

0.3541 0.0020

0.3578 0.0020

0.3614 0.0021

0.3651 0.0022

0.3687 0.0022

0.3724 0.0022

0.3760 0.0023

0.3797 0.0023

0.3833 0.0022

0.3870 0.0022

0.3906 0.0022

0.3942 0.0021

0.3979 0.0019

0.4015 0.0018

0.4052 0.0015

0.4088 0.0013

0.4125 0.0010

0.4161 0.0006

0.4198 0.0001

0.4234 0.0004

0.4271 0.0009

0.4307 0.0016

0.4344 0.0022

0.4380 0.0030

0.4417 0.0038

0.4453 0.0046

0.4490 0.0056

0.4526 0.0065

0.4563 0.0075

0.4599 0.0085

0.4636 0.0096

0.4672 0.0107

0.4709 0.0119

0.4745 0.0131

0.4782 0.0143

0.4818 0.0156

0.4855 0.0169

0.4891 0.0183

0.4927 0.0197

0.4964 0.0211

0.5000 0.0225

0.5037 0.0240

0.5073 0.0254

0.5110 0.0269

0.5146 0.0284

0.5183 0.0299

0.5219 0.0315

0.5256 0.0330

0.5292 0.0345

0.5329 0.0360

0.5365 0.0375

0.5402 0.0390

0.5438 0.0404

0.5475 0.0417

0.5511 0.0430

0.5548 0.0441

0.5584 0.0451

0.5621 0.0459

0.5657 0.0465

0.5694 0.0469

0.5730 0.0471

0.5767 0.0471

0.5803 0.0468

0.5840 0.0464

0.5876 0.0458

0.5912 0.0451

0.5949 0.0442

0.5985 0.0432

0.6022 0.0421

0.6058 0.0410

0.6095 0.0399

0.6131 0.0387

0.6168 0.0376

0.6204 0.0364

0.6241 0.0354

0.6277 0.0343

0.6314 0.0333

0.6350 0.0324

0.6387 0.0315

0.6423 0.0307

0.6460 0.0299

0.6496 0.0292

0.6533 0.0285

0.6569 0.0280

0.6606 0.0274

0.6642 0.0269

0.6679 0.0265

0.6715 0.0260

0.6752 0.0257

0.6788 0.0253

0.6825 0.0250

0.6861 0.0247

0.6898 0.0245

0.6934 0.0242

0.6970 0.0240

0.7007 0.0238

0.7043 0.0236

0.7080 0.0234

0.7116 0.0232

0.7153 0.0231

0.7189 0.0230

0.7226 0.0228

0.7262 0.0227

0.7299 0.0226

0.7335 0.0225

0.7372 0.0224

0.7408 0.0223

0.7445 0.0222

0.7481 0.0221

0.7518 0.0220

0.7554 0.0219

0.7591 0.0218

0.7627 0.0218

0.7664 0.0217

0.7700 0.0216

0.7737 0.0215

0.7773 0.0214

0.7810 0.0214

0.7846 0.0213

0.7883 0.0212

0.7919 0.0211

0.7955 0.0210

0.7992 0.0209

0.8028 0.0208

0.8065 0.0207

0.8101 0.0206

0.8138 0.0205

0.8174 0.0204

0.8211 0.0202

0.8247 0.0201

0.8284 0.0199

0.8320 0.0198

0.8357 0.0196

0.8393 0.0194

0.8430 0.0192

0.8466 0.0189

0.8503 0.0187

0.8539 0.0184

0.8576 0.0181

0.8612 0.0178

0.8649 0.0175

0.8685 0.0171

0.8722 0.0167

0.8758 0.0163

0.8795 0.0158

0.8831 0.0153

0.8868 0.0148

0.8904 0.0142

0.8941 0.0136

0.8977 0.0130

0.9013 0.0123

0.9050 0.0115

0.9086 0.0107

0.9123 0.0099

0.9159 0.0089

0.9196 0.0079

0.9232 0.0069

0.9269 0.0058

0.9305 0.0046

0.9342 0.0033

0.9378 0.0019

0.9415 0.0005

0.9451 0.0010

0.9488 0.0027

0.9524 0.0044

0.9561 0.0062

0.9597 0.0081

0.9634 0.0101

0.9670 0.0123

0.9707 0.0145

0.9743 0.0168

0.9780 0.0192

0.9816 0.0217

0.9853 0.0243

0.9889 0.0270

0.9926 0.0297

0.9962 0.0325

0.9999 0.0353

1.0035 0.0381

1.0071 0.0410

1.0108 0.0438

1.0144 0.0466

1.0181 0.0493

1.0217 0.0520

1.0254 0.0545

1.0290 0.0569

1.0327 0.0592

1.0363 0.0613

1.0400 0.0633

1.0436 0.0651

1.0473 0.0667

1.0509 0.0682

1.0546 0.0695

1.0582 0.0706

1.0619 0.0719

1.0655 0.0751

1.0692 0.0853

1.0728 0.1067

1.0760 0.1361

1.0790 0.1701

1.0816 0.2061

1.0840 0.2432

1.0862 0.2800

1.0883 0.3163

1.0904 0.3512

1.0924 0.3848

1.0944 0.4149

1.0965 0.4393

1.0985 0.4552

1.1006 0.4604

1.1026 0.4548

1.1046 0.4387

1.1067 0.4142

1.1087 0.3840

1.1107 0.3506

1.1128 0.3158

1.1148 0.2807

1.1170 0.2459

1.1192 0.2116

1.1216 0.1782

1.1242 0.1468

1.1271 0.1185

1.1304 0.0958

1.1340 0.0819

1.1377 0.0770

1.1413 0.0755

1.1450 0.0744

1.1486 0.0733

1.1523 0.0719

1.1559 0.0704

1.1596 0.0686

1.1632 0.0667

1.1669 0.0646

1.1705 0.0622

1.1742 0.0598

1.1779 0.0571

1.1815 0.0543

1.1852 0.0514

1.1888 0.0484

1.1925 0.0454

1.1961 0.0423

1.1998 0.0391

1.2034 0.0360

1.2071 0.0330

1.2107 0.0300

1.2144 0.0270

1.2181 0.0241

1.2217 0.0214

1.2254 0.0187

1.2290 0.0161

1.2327 0.0137

1.2363 0.0113

1.2400 0.0091

1.2436 0.0070

1.2473 0.0050

1.2510 0.0031

1.2546 0.0013

1.2583 0.0004

1.2619 0.0020

1.2656 0.0035

1.2692 0.0049

1.2729 0.0062

1.2765 0.0074

1.2802 0.0086

1.2838 0.0096

1.2875 0.0106

1.2912 0.0115

1.2948 0.0124

1.2985 0.0132

1.3021 0.0140

1.3058 0.0146

1.3094 0.0153

1.3131 0.0159

1.3167 0.0164

1.3204 0.0169

1.3240 0.0174

1.3277 0.0179

1.3314 0.0183

1.3350 0.0186

1.3387 0.0190

1.3423 0.0193

1.3460 0.0196

1.3496 0.0198

1.3533 0.0201

1.3569 0.0203

1.3606 0.0205

1.3642 0.0207

1.3679 0.0208

1.3716 0.0210

1.3752 0.0211

1.3789 0.0212

1.3825 0.0213

1.3862 0.0214

1.3898 0.0215

1.3935 0.0216

1.3971 0.0217

1.4008 0.0218

1.4045 0.0218

1.4081 0.0219

1.4118 0.0219

1.4154 0.0220

1.4191 0.0220

1.4227 0.0220

1.4264 0.0221

1.4300 0.0221

1.4337 0.0221

1.4373 0.0222

1.4410 0.0222

1.4447 0.0222

1.4483 0.0222

1.4520 0.0223

1.4556 0.0223

1.4593 0.0223

1.4629 0.0224

1.4666 0.0224

1.4703 0.0225

1.4739 0.0225

1.4776 0.0226

1.4812 0.0226

1.4849 0.0227

1.4885 0.0228

1.4922 0.0229

1.4958 0.0230

1.4995 0.0231

1.5031 0.0232

1.5068 0.0233

1.5105 0.0234

1.5141 0.0236

1.5178 0.0238

1.5214 0.0239

1.5251 0.0241

1.5287 0.0244

1.5324 0.0246

1.5360 0.0249

1.5397 0.0252

1.5433 0.0256

1.5470 0.0260

1.5507 0.0264

1.5543 0.0269

1.5580 0.0275

1.5616 0.0281

1.5653 0.0287

1.5689 0.0294

1.5726 0.0302

1.5762 0.0311

1.5799 0.0320

1.5836 0.0330

1.5872 0.0340

1.5909 0.0351

1.5945 0.0362

1.5982 0.0374

1.6018 0.0386

1.6055 0.0398

1.6091 0.0410

1.6128 0.0421

1.6164 0.0432

1.6201 0.0442

1.6238 0.0451

1.6274 0.0459

1.6311 0.0465

1.6347 0.0469

1.6384 0.0471

1.6420 0.0471

1.6457 0.0469

1.6493 0.0464

1.6530 0.0458

1.6566 0.0449

1.6603 0.0439

1.6640 0.0428

1.6676 0.0416

1.6713 0.0402

1.6749 0.0389

1.6786 0.0374

1.6822 0.0360

1.6859 0.0345

1.6895 0.0330

1.6932 0.0316

1.6968 0.0301

1.7005 0.0287

1.7042 0.0273

1.7078 0.0259

1.7115 0.0245

1.7151 0.0231

1.7188 0.0217

1.7224 0.0204

1.7261 0.0191

1.7297 0.0178

1.7334 0.0165

1.7371 0.0152

1.7407 0.0140

1.7444 0.0128

1.7480 0.0117

1.7517 0.0105

1.7553 0.0094

1.7590 0.0084

1.7626 0.0074

1.7663 0.0064

1.7699 0.0055

1.7736 0.0046

1.7773 0.0037

1.7809 0.0029

1.7846 0.0022

1.7882 0.0015

1.7919 0.0009

1.7955 0.0003

1.7992 0.0002

1.8029 0.0006

1.8065 0.0010

1.8102 0.0013

1.8138 0.0016

1.8175 0.0019

1.8211 0.0020

1.8248 0.0022

1.8284 0.0023

1.8321 0.0023

1.8357 0.0024

1.8394 0.0024

1.8431 0.0024

1.8467 0.0024

1.8504 0.0024

1.8540 0.0023

1.8577 0.0023

1.8613 0.0022

1.8650 0.0022

1.8686 0.0021

1.8723 0.0020

1.8760 0.0020

1.8796 0.0019

1.8833 0.0018

1.8869 0.0017

1.8906 0.0017

1.8942 0.0016

1.8979 0.0015

1.9015 0.0014

1.9052 0.0014

1.9088 0.0013

1.9125 0.0012

1.9162 0.0012

1.9198 0.0011

1.9235 0.0010

1.9271 0.0010

1.9308 0.0009

1.9344 0.0008

1.9381 0.0008

1.9417 0.0007

1.9454 0.0007

1.9490 0.0006

1.9527 0.0006

1.9564 0.0005

1.9600 0.0005

1.9637 0.0004

1.9673 0.0004

1.9710 0.0003

1.9746 0.0003

1.9783 0.0002

1.9819 0.0002

1.9856 0.0002

1.9892 0.0001

1.9929 0.0001

1.9966 0.0000

2.0002 0.0000

2.0039 0.0000

2.0075 0.0000

2.0112 0.0001

2.0148 0.0001

2.0185 0.0001

2.0221 0.0002

2.0258 0.0002

2.0295 0.0002

2.0331 0.0002

2.0368 0.0002

2.0404 0.0003

2.0441 0.0003

2.0477 0.0003

2.0514 0.0003

2.0550 0.0003

2.0587 0.0003

2.0623 0.0004

2.0660 0.0004

2.0697 0.0004

2.0733 0.0004

2.0770 0.0004

2.0806 0.0004

2.0843 0.0004

2.0879 0.0004

2.0916 0.0005

2.0952 0.0005

2.0989 0.0005

2.1025 0.0005

2.1062 0.0005

2.1099 0.0005

2.1135 0.0005

2.1172 0.0005

2.1208 0.0005

2.1245 0.0005

2.1281 0.0005

2.1318 0.0005

2.1355 0.0005

2.1391 0.0005

2.1428 0.0005

2.1464 0.0005

2.1501 0.0005

2.1537 0.0005

2.1574 0.0005

2.1610 0.0005

2.1647 0.0005

2.1683 0.0005

2.1719 0.0005

2.1754 0.0005

2.1787 0.0005

2.1819 0.0005

2.1849 0.0005

2.1877 0.0005

2.1904 0.0005

2.1929 0.0005

2.1952 0.0005

2.1972 0.0005

2.1987 0.0005

2.2000 0.0005

>> U=B(:,2)

U =

0.0005

0.0004

0.0003

0.0002

0.0001

0.0000

0.0001

0.0002

0.0003

0.0004

0.0005

0.0006

0.0007

0.0008

0.0009

0.0010

0.0011

0.0012

0.0013

0.0014

0.0015

0.0016

0.0017

0.0018

0.0019

0.0020

0.0021

0.0022

0.0023

0.0022

0.0021

0.0019

0.0018

0.0015

0.0013

0.0010

0.0006

0.0001

0.0004

0.0009

0.0016

0.0022

0.0030

0.0038

0.0046

0.0056

0.0065

0.0075

0.0085

0.0096

0.0107

0.0119

0.0131

0.0143

0.0156

0.0169

0.0183

0.0197

0.0211

0.0225

0.0240

0.0254

0.0269

0.0284

0.0299

0.0315

0.0330

0.0345

0.0360

0.0375

0.0390

0.0404

0.0417

0.0430

0.0441

0.0451

0.0459

0.0465

0.0469

0.0471

0.0468

0.0464

0.0458

0.0451

0.0442

0.0432

0.0421

0.0410

0.0399

0.0387

0.0376

0.0364

0.0354

0.0343

0.0333

0.0324

0.0315

0.0307

0.0299

0.0292

0.0285

0.0280

0.0274

0.0269

0.0265

0.0260

0.0257

0.0253

0.0250

0.0247

0.0245

0.0242

0.0240

0.0238

0.0236

0.0234

0.0232

0.0231

0.0230

0.0228

0.0227

0.0226

0.0225

0.0224

0.0223

0.0222

0.0221

0.0220

0.0219

0.0218

0.0217

0.0216

0.0215

0.0214

0.0213

0.0212

0.0211

0.0210

0.0209

0.0208

0.0207

0.0206

0.0205

0.0204

0.0202

0.0201

0.0199

0.0198

0.0196

0.0194

0.0192

0.0189

0.0187

0.0184

0.0181

0.0178

0.0175

0.0171

0.0167

0.0163

0.0158

0.0153

0.0148

0.0142

0.0136

0.0130

0.0123

0.0115

0.0107

0.0099

0.0089

0.0079

0.0069

0.0058

0.0046

0.0033

0.0019

0.0005

0.0010

0.0027

0.0044

0.0062

0.0081

0.0101

0.0123

0.0145

0.0168

0.0192

0.0217

0.0243

0.0270

0.0297

0.0325

0.0353

0.0381

0.0410

0.0438

0.0466

0.0493

0.0520

0.0545

0.0569

0.0592

0.0613

0.0633

0.0651

0.0667

0.0682

0.0695

0.0706

0.0719

0.0751

0.0853

0.1067

0.1361

0.1701

0.2061

0.2432

0.2800

0.3163

0.3512

0.3848

0.4149

0.4393

0.4552

0.4604

0.4548

0.4387

0.4142

0.3840

0.3506

0.3158

0.2807

0.2459

0.2116

0.1782

0.1468

0.1185

0.0958

0.0819

0.0770

0.0755

0.0744

0.0733

0.0719

0.0704

0.0686

0.0667

0.0646

0.0622

0.0598

0.0571

0.0543

0.0514

0.0484

0.0454

0.0423

0.0391

0.0360

0.0330

0.0300

0.0270

0.0241

0.0214

0.0187

0.0161

0.0137

0.0113

0.0091

0.0070

0.0050

0.0031

0.0013

0.0004

0.0020

0.0035

0.0049

0.0062

0.0074

0.0086

0.0096

0.0106

0.0115

0.0124

0.0132

0.0140

0.0146

0.0153

0.0159

0.0164

0.0169

0.0174

0.0179

0.0183

0.0186

0.0190

0.0193

0.0196

0.0198

0.0201

0.0203

0.0205

0.0207

0.0208

0.0210

0.0211

0.0212

0.0213

0.0214

0.0215

0.0216

0.0217

0.0218

0.0219

0.0220

0.0221

0.0222

0.0223

0.0224

0.0225

0.0226

0.0227

0.0228

0.0229

0.0230

0.0231

0.0232

0.0233

0.0234

0.0236

0.0238

0.0239

0.0241

0.0244

0.0246

0.0249

0.0252

0.0256

0.0260

0.0264

0.0269

0.0275

0.0281

0.0287

0.0294

0.0302

0.0311

0.0320

0.0330

0.0340

0.0351

0.0362

0.0374

0.0386

0.0398

0.0410

0.0421

0.0432

0.0442

0.0451

0.0459

0.0465

0.0469

0.0471

0.0469

0.0464

0.0458

0.0449

0.0439

0.0428

0.0416

0.0402

0.0389

0.0374

0.0360

0.0345

0.0330

0.0316

0.0301

0.0287

0.0273

0.0259

0.0245

0.0231

0.0217

0.0204

0.0191

0.0178

0.0165

0.0152

0.0140

0.0128

0.0117

0.0105

0.0094

0.0084

0.0074

0.0064

0.0055

0.0046

0.0037

0.0029

0.0022

0.0015

0.0009

0.0003

0.0002

0.0006

0.0010

0.0013

0.0016

0.0019

0.0020

0.0022

0.0023

0.0024

0.0023

0.0022

0.0021

0.0020

0.0019

0.0018

0.0017

0.0016

0.0015

0.0014

0.0013

0.0012

0.0011

0.0010

0.0009

0.0008

0.0007

0.0006

0.0005

0.0004

0.0003

0.0002

0.0001

0.0000

0.0001

0.0002

0.0003

0.0004

0.0005

>> U1=max(U)

U1 =

0.4604

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Answer 1

Star Strider on 22 Jun 2022

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https://nl.mathworks.com/matlabcentral/answers/1745415-i-have-a-matrix-592-2-from-this-i-got-a-curve-now-i-need-to-calculate-full-width-half-maximum-how#answer_990625

B_mtx 2022 06 22.txt

There are several ways to do this, the easiest being the findpeaks function —

B = readmatrix('B_mtx 2022 06 22.txt');
[pkd,locs,wdth] = findpeaks(B(:,2), 'MinPeakProminence', 0.25, 'WidthReference','halfheight')
pkd = 0.4604
locs = 310
wdth = 16.8081
xpeak = B(locs,1)
xpeak = 1.1006

The FWHM is 16.8081.

For a different approach, see How to calculate the FWHM from multiple spectra?

.

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Answer 2

Rik on 22 Jun 2022

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https://nl.mathworks.com/matlabcentral/answers/1745415-i-have-a-matrix-592-2-from-this-i-got-a-curve-now-i-need-to-calculate-full-width-half-maximum-how#answer_990620

Find the maximum value and its x-value
use find() to find the first time the y is above 0.5*max
use find() on the second part of the array as well
subtract the small x from the large x

If you have trouble implementing these steps, feel free to post a comment with what you tried.

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I have a matrix 592*2 from this I got a curve, now I need to calculate full width half maximum , how to do it?

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I have a matrix 592*2 from this I got a curve, now I need to calculate full width half maximum , how to do it?

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