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Table 5 Performance of Tchebichef, Krawtchouk, Charlier, Hahn, and Meixner moments with Householder method at different orders

From: An efficient computation of discrete orthogonal moments for bio-signals reconstruction

Signal

Order

Tchebichef + HM

Krawtchouk + HM

Charlier + HM

Hahn + HM

Meixner + HM

PSNR

MSE

PSNR

MSE

PSNR

MSE

PSNR

MSE

PSNR

MSE

MIT-BIH Rec. 101

50

75.232

0.9490

73.048

1.2201

75.203

0.9120

70.941

1.5553

68.381

2.088

 

100

80.335

0.5273

77.213

0.7554

80.335

0.5164

75.046

0.9695

71.32

1.4872

 

150

103.562

0.0364

96.533

0.1630

101.746

0.0502

83.056

0.3855

75.877

0.8815

 

200

106.854

0.0249

104.067

0.0343

103.751

0.0448

85.881

0.2807

83.309

0.3744

MIT-BIH Rec. 200

50

74.015

0.9901

81.047

0.9748

74.801

1.1410

72.369

1.4047

65.841

1.8020

 

100

79.541

0.6010

85.501

0.5084

78.514

0.7410

77.550

1.1470

69.147

1.5014

 

150

91.854

0.1950

92.014

0.2400

88.581

0.3014

82.541

0.8040

76.540

1.0011

 

200

94.876

0.1561

93.014

0.2014

90.301

0.2230

85.509

0.6011

82.417

0.7710

MIT-BIH Rec. 230

50

87.722

0.3536

75.424

1.4567

75.499

1.4442

69.167

2.0412

73.316

1.8569

 

100

92.878

0.1953

85.554

0.4538

87.669

0.3557

84.705

0.5004

80.259

0.8348

 

150

111.332

0.0233

94.019

0.1752

107.394

0.0394

92.393

0.2065

85.132

0.4764

 

200

112.965

0.0193

106.817

0.0392

110.373

0.0261

96.191

0.1334

94.560

0.1609