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Table 2 Comparison of three algorithms (iterative process stops at third iteration)

From: Frequency estimation and tracking by two-layered iterative DFT with re-sampling in non-steady states of power system

SNR

Algorithm

Δf l (input frequency generated randomly per cycle, which are listed for the first 10 cycles, Hz)

Total

MSE

1

2

3

4

5

6

7

8

9

10

  

0 (60)

0 (60)

5 (65)

− 3 (57)

2 (62)

− 2 (58)

− 2 (58)

4 (64)

0 (60)

1 (61)

 

20 dB

DFT iteration aided by AES

60.0333

58.4136

64.0000

57.9770

60.6543

57.1513

57.5411

63.5073

58.9226

61.1667

1.9778

DFT iteration

59.2771

58.7789

65.5311

57.7068

60.6949

56.6914

57.1799

64.4430

59.3222

62.5303

1.4521

Variable sampling measurement [31]

57.4167

62.9167

62.7500

60.3333

61.0000

58.4167

60.2500

64.8333

55.7500

61.8333

5.5808

15 dB

 

3 (63)

2 (62)

5 (65)

− 3 (57)

4 (64)

0 (60)

2 (62)

− 4 (56)

− 3 (57)

5 (65)

 

DFT iteration aided by AES

64.0144

60.2727

62.6321

55.2965

60.7808

58.0518

65.3453

57.9144

58.0186

64.9271

3.8810

DFT iteration

63.6640

61.2829

57.7354

56.3717

65.5300

57.5044

62.4709

55.4884

56.9142

60.9407

3.6784

Variable sampling measurement [31]

58.2500

61.0833

64.0000

60.2500

62.0833

51.5167

60.0000

51.6667

58.8333

68.9167

10.9262