Finding the central frequency for an array by using Weighted Average method

Hi, I have an array (1024x3000). it represented distribution, where 1024 is no. of raws and 3000 number of samples. for every sample, I have a curve. I want to find the central frequency for every sample so, the output should be (3000) values. I want first to find the maximum values and the corresponding for these values and find the FWHM for every sample and then apply the Weighted average method. can you please help me?

Example: this data is for one column only (one sample) (1024) value

I have to fine the maximum value for 3000 samples like this above by weighted average method or curve fitting

1097.123169

1091.124634

1072.713135

1042.405518

1000.742493

948.442383

886.438782

815.85907

737.971375

654.229004

566.263916

475.964081

385.605988

298.371063

219.73111

161.491959

144.877823

175.251053

228.667709

286.948608

342.52597

392.157867

434.25351

468.000275

493.034637

509.303986

516.994873

516.483398

508.313171

493.145844

471.729462

444.878784

413.418915

378.188538

339.98526

299.564758

257.629669

214.86377

171.986572

129.974854

90.811966

60.400253

54.746418

77.977234

112.073441

148.187775

183.434814

216.422363

246.17865

271.87561

292.763275

308.167023

317.512604

320.347778

316.37149

305.460114

287.693817

263.351227

232.933655

197.142517

156.88089

113.236984

67.49559

21.820072

27.733986

71.505882

112.749832

149.640839

180.941879

205.625946

222.859055

232.03009

232.760086

224.91684

208.613892

184.208389

152.288712

113.660492

69.325813

20.588915

32.083809

86.072891

140.575607

194.026413

244.904694

291.751526

333.155762

367.805389

394.530457

412.322205

420.377991

418.127045

405.278564

381.853027

348.218201

305.191437

254.134308

197.377945

139.663925

94.485458

94.838341

142.297256

204.512024

267.299896

325.005432

374.216431

412.361969

437.429291

447.929657

442.927979

422.131256

386.06192

336.27243

276.055206

212.589981

163.443787

162.507172

218.971939

303.817535

396.727814

487.921417

571.483276

643.08136

699.293579

737.440918

755.702087

753.014404

729.324768

685.610901

624.05719

548.409912

464.640381

382.653229

318.909454

296.063446

324.99585

390.239929

469.16095

546.496094

613.684875

666.405579

703.711792

728.187195

746.697266

770.537476

814.880737

894.474365

1018.501648

1188.2052

1398.212769

1640.124268

1904.646118

2182.393799

2464.167236

2741.516602

3005.88623

3249.802979

3466.037354

3648.320801

3791.131104

3890.265137

3942.211914

3945.079834

3898.19165

3801.73291

3657.621338

3468.806641

3239.358398

2974.40625

2680.253174

2363.681152

2032.244141

1694.35437

1359.063721

1037.372559

744.555908

510.170746

397.232117

448.769012

584.223511

727.011658

848.330627

938.115662

993.055298

1012.933655

999.506348

955.695862

885.472717

793.613708

685.380981

566.531311

443.512238

323.98056

219.886246

156.68129

165.523575

219.970612

279.680328

329.042969

362.889954

379.657776

379.447418

363.3815

333.30481

291.617981

241.112183

185.038452

127.604744

77.004318

59.659184

91.678291

137.418472

181.621002

220.546951

253.071625

279.012604

298.701721

312.792175

322.066315

327.342529

329.324219

328.557648

325.397675

320.064941

312.712097

303.568359

293.045898

281.821014

270.89801

261.528137

255.010513

252.377655

254.012253

259.462738

267.501099

276.436829

284.467712

289.943207

291.532257

288.28299

279.651825

265.498901

246.055832

221.899261

193.915833

163.283844

131.501923

100.574356

73.645462

56.413071

55.436802

67.697639

84.336494

100.430832

114.18882

125.184395

133.645981

140.157074

145.453629

150.255936

155.112213

160.294159

165.776077

171.303452

176.520996

181.104782

184.878891

187.881577

190.398453

192.922821

196.074478

200.466293

206.536819

214.451889

224.036591

234.863403

246.282806

257.69812

268.503662

278.282623

286.806396

294.040833

300.140503

305.396423

310.164978

314.785492

319.520081

324.468597

329.565887

334.564117

339.074219

342.640259

344.783112

345.070251

343.1604

338.80426

331.883362

322.381287

310.3591

295.9552

279.340851

260.691925

240.175125

217.970245

194.269745

169.307007

143.477722

117.492767

92.863289

72.888695

63.909023

71.120239

90.702599

115.921455

142.743561

169.062149

193.592667

215.48291

234.105637

249.0159

259.974182

266.912079

269.932587

269.295959

265.406952

258.775848

250.006851

239.703308

228.446854

216.72319

204.895828

193.136703

181.464432

169.743256

157.764511

145.309738

132.29805

118.767876

105.062813

91.974785

80.833755

73.539658

71.936668

76.562202

86.059105

98.281418

111.391251

124.001816

135.217987

144.418457

151.191864

155.305481

156.688416

155.356644

151.456818

145.206482

136.888107

126.843437

115.412109

103.000854

89.983101

76.752075

63.713146

51.291065

39.991898

30.525612

23.962187

21.434471

22.693933

25.874126

29.308926

32.103107

33.853008

34.42625

33.810131

32.102615

29.493755

26.277712

22.894148

19.978607

18.333406

18.56377

20.546335

23.55447

26.814432

29.781116

32.086037

33.508255

33.91938

33.2714

31.578833

28.923737

25.422884

21.248461

16.599138

11.716857

6.942752

3.341851

4.572638

8.096102

11.375413

13.99638

15.825859

16.816444

16.972166

16.341896

15.007535

13.084437

10.708264

8.037046

5.244009

2.600486

1.516189

3.332475

5.314531

6.932602

8.08532

8.73867

8.8985

8.597178

7.893964

6.867492

5.614998

4.254838

2.951932

2.013477

1.937624

2.575398

3.329906

3.942136

4.330745

4.480797

4.415563

4.183895

3.859685

3.53934

3.32354

3.283338

3.413476

3.639516

3.868437

4.020625

4.045546

3.917983

3.63541

3.214193

2.691115

2.134466

1.665106

1.479766

1.68886

2.132451

2.622226

3.056293

3.38722

3.595235

3.678539

3.649282

3.536058

3.377733

3.220934

3.113931

3.091392

3.160598

3.297907

3.464233

3.61685

3.722461

3.756156

3.706366

3.569768

3.351186

3.062039

2.719032

2.340782

1.94959

1.564958

1.211156

0.90897

0.684193

0.560401

0.536812

0.575835

0.639745

0.712816

0.79368

0.883865

0.98208

1.084244

1.181766

1.264697

1.32574

1.360163

1.363757

1.33761

1.285702

1.2158

1.139779

1.072392

1.030355

1.026044

1.064392

1.139313

1.239068

1.350407

1.462445

1.567954

1.661031

1.738789

1.799572

1.842259

1.867699

9.636182

6.975143

7.000512

7.024773

7.02281

6.969111

6.839465

6.613155

6.278866

5.831182

5.274324

4.619434

3.887216

3.105772

2.315869

1.585826

1.073193

1.058399

1.446105

1.90287

2.28597

2.541663

2.645446

2.586372

2.362504

1.978726

1.450461

0.809023

0.321751

0.962829

1.860666

2.800141

3.735486

4.631463

5.45357

6.171388

6.757514

7.188035

7.444578

7.515473

7.394834

7.086626

6.601631

5.962933

5.203853

4.378702

3.569584

2.915893

2.615817

2.789055

3.309593

3.9624

4.597131

5.12988

5.512706

5.719535

5.742134

5.585521

5.268102

4.820224

4.287071

3.725063

3.203986

2.800057

2.569367

2.506481

2.54012

2.572899

2.524578

2.344715

2.009323

1.514753

0.88101

0.244515

0.808265

1.687499

2.571573

3.399573

4.120132

4.686992

5.061776

5.214422

5.128081

4.798861

4.237563

3.471335

2.550685

1.581566

0.977311

1.521521

2.536616

3.546932

4.421743

5.092966

5.510434

5.64465

5.481619

5.021025

4.287908

3.327264

2.227428

1.271193

1.446358

2.588987

3.865711

5.051881

6.055199

6.81696

7.298838

7.490594

7.407867

7.096086

6.646908

6.190832

5.89411

5.904778

6.260067

6.863386

7.54786

8.145146

8.525301

8.584774

8.260756

7.518198

6.355248

4.805998

2.961215

1.283607

2.286014

4.627314

7.069265

9.399983

11.485417

13.215934

14.500746

15.270063

15.487382

15.128846

14.220691

12.816511

10.996526

8.884914

6.657174

4.614326

3.413484

3.837492

5.296695

6.972289

8.630567

10.31778

12.219417

14.573

17.566122

21.29286

25.734732

30.76013

36.197796

41.828392

47.418499

52.727909

57.526745

61.608547

64.804214

66.995216

68.132668

68.250847

67.501465

66.161087

64.632263

63.490372

63.360165

64.787941

68.139038

73.38414

80.17524

88.025993

96.370064

104.679649

112.482712

119.395546

125.086899

129.315384

131.897934

132.724442

131.744522

128.96991

124.464149

118.338463

110.738205

101.849609

91.884773

81.071541

69.663734

57.937286

46.239426

35.063873

25.373684

19.387304

20.131824

26.455744

34.917206

43.792778

52.421513

60.524059

67.97184

74.687561

80.651131

85.860161

90.330055

94.085274

97.170006

99.61657

101.46917

102.767303

103.536438

103.802437

103.574997

102.859253

101.65361

99.952515

97.75502

95.068146

91.913193

88.326279

84.373749

80.143974

75.758331

71.362007

67.132401

63.256474

59.921516

57.284035

55.43774

54.386719

54.035782

54.206505

54.671242

55.191086

55.544853

55.548477

55.063068

53.996708

52.305492

49.989594

47.091808

43.696728

39.926403

35.941868

31.93931

28.14447

24.799643

22.124243

20.243607

19.11204

18.493895

18.043613

17.414715

16.334669

14.617804

12.16557

8.952556

5.032519

1.153437

5.068818

10.620811

16.473219

22.420914

28.285204

33.899414

39.114166

43.805103

47.877411

51.270359

53.960388

55.95919

57.310722

58.085773

58.371666

58.261463

57.841335

57.179272

56.316883

55.26688

54.01627

52.532822

50.779575

48.726688

46.36203

43.699821

40.786602

37.694923

34.521198

31.369066

28.332699

25.47357

22.803183

20.272367

17.785896

15.239693

12.583939

9.951697

7.95266

7.94356

10.544232

14.731289

19.582022

24.57267

29.334263

33.550335

36.932552

39.230286

40.223408

39.760765

37.754761

34.22369

29.33952

23.572741

18.151051

16.031733

20.051878

28.367657

38.355881

48.6539

58.461403

67.18206

74.301689

79.388901

82.076385

82.072578

79.182411

73.30957

64.480637

52.891605

39.054211

24.600737

17.490555

29.484562

49.804066

72.402679

95.689735

118.821922

141.134369

162.043976

181.045685

197.683731

211.602005

222.506393

230.204819

234.600677

235.686142

233.551071

228.374329

220.390381

209.945999

197.424728

183.238586

167.873383

151.802322

135.534363

119.558243

104.369301

90.429123

78.152863

67.868843

59.752117

53.754845

49.541027

46.578205

44.259777

42.056946

39.602032

36.688419

33.266644

29.395138

25.242622

21.07691

17.295223

14.471087

13.236579

13.770958

15.508003

17.673519

19.725374

21.356016

22.408798

22.816071

22.573559

21.725315

20.353243

18.57777

16.556219

14.491888

12.641718

11.305893

10.739667

10.992657

11.851043

12.98952

14.12987

15.080594

15.724873

15.998687

15.875732

15.356837

14.463357

13.231269

11.707057

9.943987

7.998953

5.931363

3.805988

1.74031

1.041563

2.859289

4.818542

6.684084

8.409579

9.967925

11.338396

12.504001

13.450793

14.167645

14.646742

14.883713

14.87865

14.636557

14.167253

13.486152

12.613736

11.575183

10.39991

9.119612

7.768269

6.380181

4.988528

3.624548

2.31635

1.089358

0.131506

1.079724

1.979048

2.756623

3.410979

3.945147

4.364271

4.675338

4.885899

5.003594

5.035824

4.989857

4.87274

4.691653

4.454191

4.16858

3.843585

3.489088

3.115045

2.732206

2.35103

1.982514

1.63799

1.331029

1.079466

0.906961

0.835023

0.860769

0.950955

1.06695

1.180973

1.275662

1.340789

1.37076

1.364437

1.326268

1.267249

1.207267

1.174408

1.198289

1.295136

1.458089

1.66378

1.88452

2.096036

2.27854

2.417585

2.504436

2.535617

2.514751

2.452023

2.365306

2.279972

2.225377

2.228654

2.304287

2.44876

2.642915

2.861047

3.078883

3.276503

3.440669

3.564283

3.646067

3.688724

3.699985

3.688169

3.66288

3.631703

3.600542

3.571249

3.543084

3.514293

3.482749

Thank you so much

[Mathieu NOE]

hello

maybe you should share some data and code (if you have one)