Removal of Power Line Interference and Noise Important Matlab

7/27/2019 Removal of Power Line Interference and Noise Important Matlab

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Removal of Power Line Interference and other Single Frequency Tones from Signals

MSc Thesis Report, Mlardalen University, Sweden1

MSc ThesisMSc ThesisMSc ThesisMSc Thesis REPORTREPORTREPORTREPORTLEVEL: 20 P, DLEVEL: 20 P, DLEVEL: 20 P, DLEVEL: 20 P, D----LEVELLEVELLEVELLEVEL

report submitted to the Department of Computer Science and Electronics, Mlardalen Univerreport submitted to the Department of Computer Science and Electronics, Mlardalen Univerreport submitted to the Department of Computer Science and Electronics, Mlardalen Univerreport submitted to the Department of Computer Science and Electronics, Mlardalen Univer

in part fulin part fulin part fulin part fulfilment of the Degree of Master of Science infilment of the Degree of Master of Science infilment of the Degree of Master of Science infilment of the Degree of Master of Science in

Electronics with Biomedical EngineeringElectronics with Biomedical EngineeringElectronics with Biomedical EngineeringElectronics with Biomedical Engineering

G [email protected]

: E

:

. B

www.mdh.se

Department of Computer

Science and Electronics08

[R P L I

S F T S]


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Table of Contents

DEDICATION ___________________________________________________________ 7

ACKNOWLEDGEMENTS___________________________________________________ 8

ABSTRACT _____________________________________________________________ 9

1 CHAPTER1 ________________________________________________________ 10

1.1 D 10

1.2 10

1.3 111.3.1 C1 ________________________________________________________________ 111.3.2 C2 ________________________________________________________________ 111.3.3 C3 ________________________________________________________________ 111.3.4 C4 ________________________________________________________________ 111.3.5 C5 ________________________________________________________________ 111.3.6 C6 ________________________________________________________________ 121.3.7 C7 ________________________________________________________________ 121.3.8 C8 ________________________________________________________________ 121.3.9 R _______________________________________________________________ 12

2 CHAPTER2 ________________________________________________________ 13

2.1 G 132.1.1 H M P ECG D ________________________________ 14

2.2 B . 15

2.3 . 16

2.4 A . 16

2.5 C AAB 17

3 CHAPTER3 ________________________________________________________ 18

3.1 D (D) 18

3.2 F 18

3.3 D F? 19

3.4 A D F 19

3.5 D F 20

3.6 C D F A 21


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3.7 DIGIA FIE DE, EIE AD CEFFICIE 223.7.1 O D F _____________________________________________________ 223.7.2 SS D F __________________________________________________ 233.7.3 C D F. _______________________________________________ 23

4 CHAPTER4 ________________________________________________________ 24

4.1 I 24

4.2 E A F 24

4.3 A F D 25

4.4 A F 25

4.5 G A F 26

4.6 , A A 27

4.7 C C A A 28

4.8 I C A F 29

5 CHAPTER5 ________________________________________________________ 31

5.1 I 31

5.2 A F A A 31

5.3 F I (FI) 32

5.4 FI F A D 335.4.1 A: ______________________________________________________________ 335.4.2 D:____________________________________________________________ 33

5.5 C FI II F 33

5.6 A FI 34

6 CHAPTER6 ________________________________________________________ 36

6.1 A F A 36

6.2 I A 36

6.3 A 37

6.4 D A F A 38

6.5 C 39

6.6 A C 41

6.7 I C A F 42

7 CHAPTER7 ________________________________________________________ 44

7.1 44

7.2 D D 45


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7.3 AAB I 45

7.4 467.4.1 R P L I (50 H) ECG S LMS A _______ 467.4.2 R H H F N O ECG S __________ 51

7.5 A I 53

8 CHAPTER8 ________________________________________________________ 55

8.1 CCI AD FE EEACH 558.1.1 C _______________________________________________________________ 558.1.2 S F W/F E _______________________________ 56

9 APPENDIX A _______________________________________________________ 57

9.1 AAB CDE F ECG IGA 57

10 APPENDIX C _______________________________________________________ 61

10.1 AAB CDE F HAIC AD HIGH FEEC IE F ECG IGAB GEEA CH EJECI FIE 61

11 REFERENCES _______________________________________________________ 65


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List of Figures

FIGURE 21 ECG QRS _________________________________ 14

FIGURE 4.1 P A F ________________________________26

FIGURE 4.2 T ______________________ 27

FIGURE 4.3 S I C A F ____________ 29

FIGURE 5.1 FINITE IMPULSE RESPONSE (FIR) FILTER STRUCTURE ____________________34

FIGURE 5.2 T A S P________________________________ 38

FIGURE 6.1 LMSADAPTIVE ALGORITHM_____________________________________ 37

FIGURE 6.2 OUTLINE OF ADAPTIVE TRANSVERSAL FILTER __________________________39

FIGURE 6.3 NOISE CANCELLATION EXAMPLE___________________________________ 40

FIGURE 6.4 BLOCK DIAGRAM OF ADAPTIVE NOISE CANCELLER_______________________ 41

FIGURE 6.5 INTERFERENCE CANCELLATION BY ADAPTIVE FILTERING____________________ 42


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Mind is not a vessel to be

filled, but a fire to be kindled.


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DEDICAI

I

P

, . I

. F, I N

A , N

.


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ACKEDGEE

I A A

.

I

I F

,

(. B), (

E). T

,

.


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ABAC

I F

W ,

. T

. T (50/60 H)

. T

ECG

LMS ( ) . T

(DSP) MATLAB ,

LMS . T

E (ECG), E (EEG) E (EMG).

MATLAB

.

A

() ECG

, .


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1 CHAE1

HEI IDCI

1.1

T

. I

ECG, EEG EMG.

T 50/60 H ,

. T (EMF) .

[1] T 50/60 H

ECG, 50/60 H ECG

. T ECG

. [1]

T ECG

. O

. I ,

. T

50H. D ECG

ECG .

1.2

T 50/60 H

ECG

(LMS) FIR MATLAB . T

ECG

MATLAB .


11/67



1.3

T .

1.3.1 C1

T , ,

.

1.3.2 C2

T ECG. A

, & ECG ,

, , , &

MATLAB .

1.3.3 C3

T , ,

& , , ,

&

, & .

1.3.4

C4

T . I

,

, ,

. T

.

1.3.5 C5

T ,

, FIR , . I

FIR LMS

. I

AC FIR .


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1.3.6 C6

T

(LMS)

. I & LMS

, , .

1.3.7 C7

I , . I

& DSP

& LMS,

ECG &

. I

ECG . F .

1.3.8 C8

T . I

, .

1.3.9

T , ,

.


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2 CHAE2

IDCI ECG IGA IH E IE IEFEECE

2.1

T

. P

.

T &

. T

, , , ,

. [2]

D ,

(110 V ). E

. M

(AC). T N A 60 H; 50 H

.

T 50/60 H

E (ECG), E (EEG) E

(EMG) . I

ECG

.

T 2.1 ECG QRS . T

ECG 50 H

QRS . T QRS

ECG ECG. [3]


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F 2.1 ECG QRS [3]

A (60 H)

QRS . [4] I

, ECG ECG

.

C, 50/60 H

. E (EMI) 50/60 H ECG . [5]

S . T

AC . T

. W

, AC

. F AC

.

2.1.1 H ECG D

T ,

. [6] E

. T

. W


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. T

. [7]

A ECG ;

. T ECG

, , , , , ,

. [6]

2.2 .

T E (ECG)

. T ECG

50/60 H . T

ECG. [8]

D ;

ECG ECG ..

. I

. I

. T

/ "H". F

U S 60 H 50 H .

M ECG, , ,

. T 50 H (AC) , (DC). T

. [9] N

ECG. T

(ECG ) (

ECG ) [4]

W ECG ,

. T ECG 50/60 H

1 H

. V

. T

ECG . [10]

T ,

AC . T

ECG . I 50/60 H

ECG . D


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ECG . D

;

. [10]

.

L P F G NR F

A F

G

I

, O ECG

. T (50H) ECG

.

2.3 .

T

(DSP),

LMS . T ,

ECG

MATLAB .

T 50 H ECG

LMS FIR . T

. T

ECG

.

2.4 .

T ,

ECG S ECG .

T ECG

.

T 50/60 H

, DSP ..

, FIR, IIR, LMS


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T ,

, .

T

, &

MATLAB .

I ECG

.

I , ,

,

.

2.5

MATLAB , M. I

.

[11]

T MATLAB

, ,

, . I (FIR)

(IIR), , . I

& ,

& , & & . [12]

[14]

MATLAB .

[11] I ,

.

MATLAB ,

, , &

, , ,

,

. [12] [14]


18/67



3 CHAE3

BAIC HE F DIGIA FIE

3.1 ()

D (DSP)

. [13] T

.. , , (

) . [11]A

. T

. [15]

T D

S P. I DSP

,

. [16] T S P

, ,

, , , &

, , , ,

, , . [13][11] D

,

, CD , , , DSP , , .

3.2

A ;

, , . T

, . [17]

T , . T

;

.


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3.3 ?

D

(DSP)

. T . A

. [18] D

, , , ,

. [19]

T . D

. [20] T

..

() (), () ()

. T

. [19] D ,

ECG, EMG EEG.

A

, , , PID

P (, DSP , , CPLD

).O ADC, ,

. A

DAC . D F

,

.

3.4

T ; .

1 T

.


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2 A

. I

[21]

3 P CAD .

4 B . [17]

5 R (PC,

DAC, ADC, CPLD) ,

.

6

D

. [17]

7 D

. [21]

8 W

. T DSP ,

.. RF (

) , . [22]

9 D

.

10 D ,

. [17]

11 D ,

. [19]

3.5

T DSP . T

,

. D

,

. [17] B


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,

.

T , F I R (FIR)

I I R (IIR) . [23] [13] [24]

. [25] T F I

R (FIR) I I R (IIR)

.[26] [25] T & (FIR)

& (IIR) . [19]. N

. B

FIR

. [26]

T

. T .

T ( )

.

3.6

T

. F

. F .

L

. T

. [21]

T ,

. T

. I IIR ,

FIR

. T

[17]


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3.7 ,

T

. [19] T ,

,

:

3.7.1 D F

T

[28]

. [27] T

. I ,

.

I FIR . I IIR . [28]

D :

T

.[27]

=

T ,

(1) . [27]

= 1

T , (1

2) ; . [27]

= ( + 1 + 2) / 3


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3.7.2 D F

SS LMS ,

.

T ,

. T

, :

[26]

1/ 2

I , , ,

.

3.7.3 C D F.

C ,

. F FIR ,

. [28]

T

. [29]

I ,

, . T .. 0,

1, 2... .

Z : = 0

F : = 0+ 11

S : = 0+ 11+ 22


24/67



4 CHAE4

ADAIE FIE

4.1

T ,

. [2] A

, DSP

. T (LMS)

1959 W H. [30]

A

K B T L 1965, [20]

. [31]

A

. I , ,

,

. [30] T

, , , .

4.2

A

. [32] I ,

,

. M ,

. [2] W

.


25/67



4.3

T .

I

, .[33] T

..

, , , ,

, . [34][33]

D ,

;

ECG

. [34] I ,

. G ,

, , ,

, . [35]

A . [33] I

(DSP). U

.

S , .

4.4

A ,

. [32] L,

()

. O , . T

. T

( )

. [36] T

, ..

LMS . [31]


26/67



T , ,

. [25]

A

. [4]

T 4.1. T ()

,

(). [32]

F. 4.1P A F [32]

T : [32]

T

T

T

T

4.5

T ;

. [33] T

4.1,

PROGRAMMABLRDIGITAL FILTER

ADAPTIVE ALGORITHMFOR

COEFFICIENT UPDATING

+X(n)

Input Signal

y(n)

y(n)

e(n)

Reference


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. T

. A

. T

,

. [37]

2

F 4.2 T . [37]

T ; . [25]

4.6 ,

T ;

. F

.

T LMS

, (). [38] T

;

. I

FIR . [30]

AdaptiveFilter

FilterAdaptation Rules

Quality

Assessmen

FilterOutpu

FilterInput


28/67



T

. [39] R

. T

. [30]

4.7

T

. [30] F

LMS . T LMS

,

E [ ()] 0 [1]

T LMS

. [33] F

, , (HDTV). I

,

LMS .

[30]

T LMS FIR

R.

[30]

T LMS

. [1] T

R . T

LMS

0< < 1 / [33][30]

W R. T LMS

. [33] T

1/ . [1][30]

)]()(*[ nxnxERx T

=


29/67



I R

. A

. [33]

4.8

W

() .[30] T

,

, .

[34] I ,

[33] () , ()

() .[30][32]

() = () ()

F 4.3 S I C A F [34] [30][32]

T

(). I

() .[30] I

Unknown System

H(z)

Adaptive Filter

H(z)^y(n)

a(n)

y(n)

noise, w(n)

input, x(n)

+

+

+

-,

output

error e n

out ut d n


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. [34]

[33]

T . [30]

T . I

;

.


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5 CHAE5

ADAIE AGIH F FI FIE

5.1 I

T FIR

, ,

. I

.

5.2 A F A A

T

. T

(50/60 H) ECG

( ) (

). S

. T

.

T ,

LMS ,

. [30] F

,

. [17]

F ,

;

. T

, .


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5.3 F I (FI)

A I R (FIR) [40]

( )

. [41] FIR [40]

. T ,

FIR . T

. [19]

F 5.1 F (FIR) [42]

T FIR 5.2,

FIR N ( N )

. A

. [42]T FIR , ,

. [13]

FIR IIR ,

. T

. T FIR

FIR .

+

+ + +

X X X X

7-1

7-1

7-1

7-1

y(n)^

ana2a1a0


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5.4 FI F A D

T FIR

. FIR

. F FIR . [24]

5.4.1 A:

FIR F L P

C

T

C

FIR S

T

5.4.2 D:

L S IIR

H ""

5.5 C FI II F

T (FIR) (IIR)

. T , . [25] T

FIR IIR .[43]

II FIE FI FIE

M E L E

A E N A E

M B U A S

NL P R L P RM R G L R G

CAD D P A CAD D P A

N E G D D I E


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C FIR IIR

. T FIR IIR

. T FIR

. [43] I

. [25] M FIR IIR FIR IIR

S . FIR

. [44] R

, FIR IIR .

5.6 A FI

T . F

. A FIR

.

I 5.3 ,

() () (). T FIR

(),

. T

(), ()

(). [35]

F 5.2 T A S P [35]


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T A FIR

,

() N

()S

() I ()P


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6 CHAE6

EA EA AE () AGIH

6.1 A F A

T

.. LMS (L M S), RLS (R L S, NLMS (N

L M S), . T

, LMS. T

.

6.2 I A

T LMS

, . [33] I

. T

. T (LMS)

. [45] T

LMS,

. [46] LMS , . [45] T

[33]

,

. [45]

E , LMS

, .

S

. [47] T LMS

, . [46] D ,

. [48]

L ;

. [45]


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LMS . LMS . LMS .

LMS .

I LMS . [49] T

LMS

. T

.

6.3

LMS . [33] T

LMS LMS

. [48] T LMS

. [33] LMS

.

F

F

. [48]

A A

A

. [48]

F 6.1 LMS A A [50]

LMS adaptive filterL,,,Z -

Primary input d +e

y

Reference input

x

-


38/67



I 6.1, (LMS) . T

, X . T

, LMS .

T

() = () () [50]

T , ()

() . F

() () . H

. T

. T (MSE) :

= E[2()] [50]

6.4

T ,

. T

. [33]

T

. [51] T

,

. [33] D LMS ,

:

. [51]

T A

, . T

, , . [52] T LMS

. [33]


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F 6.2 O [51]

T 6.2. T

()

. A , (), ( 1), . . . ( N + 1)

.

6.5

T , ()

.

() = () + 1()

T () 1()

. T 1(),

() (). [47]

TransversalFilter

AdaptationAlgorithm

+

(n|n-1)

c( -1)

d( )

+(n)

e(n)


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F 6.3 N C E [47]


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TF 6.3

() R ,

() R ,

() R ,() R .

T

. T

. [36] T ()

(), () . T

() ()

. T ()

.

6.6

A

. O 50/60

H ECG . [53]

F 6.4 B D A N C [30][31][47][48]

AdaptiveFilter

SignalSource

Noise Source

d(n)Primary

Input e(n)

x(n)

ReferenceInput

y(n)

+

FilterOutput

Error Signal

s + no

n1

z

System Output


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A

. F 1

. T

1

. [31] T

. T

. S

. [30]

T LMS ..

,

. [48] T

. T

. I . T 6.3.

6.7

T ;

ECG, EEG EMG . I

50 H ECG . A

.

I 6.5 . T

. T . [54]

F 6.5 I C A F [54]

Adaptive

filter

SystemOutput 1

ReferenceSignal

PrimarySignal

u +de

-

d


43/67



A

. T ()

. [54]


44/67



7 CHAE7

DEIG, AAI AD IAI

7.1

T ECG

. R 50/60 H ECG

LMS

.T

ECG MATLAB .

N ECG

. I ,

.

R P L I A LMS A

ECG S.

R

ECG .

W

, . T

E

(ECG), (EEG) (EMG). T

; . T

, ,

ECG . I

, , ,

.


45/67



7.2 D D

I (DSP)

. T

.

I .. ECG (50 H) (50

H) . I LMS ,

.

T ECG 50 H 50 H;

ECG . B

50 H LMS

. T LMS .

T 47 H 53 H ECG 50 H. T

ECG ECG

. S

ECG . F DSP

, .. , ,

.

T

. T

,

.

7.3 AAB I

MATLAB

. I , &

, . T

(LMS)

FIR MATLAB . T

50/60 H ECG . T

ECG 50 H

(1=50 H) 50 H


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. T FIR LMS

ECG . T

ECG

LMS

. F

LMS FIR MATLAB . T

LMS .

T

MATLAB . T

MATLAB

&

.

7.4

T LSM

(50 H) ECG .

7.4.1 Removal of Power Line Interference (50 Hz) from ECG Signalby LMS Algorithm

T ECG LMS .

T ECG 50 H MATLAB ECG S

50 H ECG S,

M . T LMS , FIR

. T ECG S, 50 H N , M , E

A LMS . T

ECG .


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7.4.1.1

FT=16;

= 0.005;

0 1000 2000 3000 4000 5000 6000 7000 8000 9000 10000-1

0

1Original ECG Signal

0 1000 2000 3000 4000 5000 6000 7000 8000 9000 10000-1

0

150 Hz Noise Signal

0 1000 2000 3000 4000 5000 6000 7000 8000 9000 10000-2

0

2Mixed Signal

0 1000 2000 3000 4000 5000 6000 7000 8000 9000 10000-5

0

5Error Signal

0 1000 2000 3000 4000 5000 6000 7000 8000 9000 10000-2

0

2LMS Filtered Output

ECG S S1


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FT=16;

= 0.009;

0 1000 2000 3000 4000 5000 6000 7000 8000 9000 10000-1

0


0 1000 2000 3000 4000 5000 6000 7000 8000 9000 10000-1

0

150 Hz Noise Signal

0 1000 2000 3000 4000 5000 6000 7000 8000 9000 10000-2

0

2Mixed Signal

0 1000 2000 3000 4000 5000 6000 7000 8000 9000 10000-5

0

5

Error Signal

0 1000 2000 3000 4000 5000 6000 7000 8000 9000 10000-2

0

2

LMS Filtered Output

ECG S S2


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FT=32;

= 0.005;

0 1000 2000 3000 4000 5000 6000 7000 8000 9000 10000-1

0


0 1000 2000 3000 4000 5000 6000 7000 8000 9000 10000-1

0

150 Hz Noise Signal

0 1000 2000 3000 4000 5000 6000 7000 8000 9000 10000-2

0

2Mixed Signal

0 1000 2000 3000 4000 5000 6000 7000 8000 9000 10000-5

0

5Error Signal

0 1000 2000 3000 4000 5000 6000 7000 8000 9000 10000-2

0


ECG S S3


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FT=32;

= 0.009;

0 1000 2000 3000 4000 5000 6000 7000 8000 9000 10000-1

0


0 1000 2000 3000 4000 5000 6000 7000 8000 9000 10000-1

0

150 Hz Noise Signal

0 1000 2000 3000 4000 5000 6000 7000 8000 9000 10000-2

0

2Mixed Signal

0 1000 2000 3000 4000 5000 6000 7000 8000 9000 10000-5

0

5Error Signal

0 1000 2000 3000 4000 5000 6000 7000 8000 9000 10000

-2

0


ECG S S4

I ECG S S1, 16

0.005 . T , ,

, , ECG , 50 H ,

, . T ECG 50 H

50 H ( ) . T

ECG

50 H . T LMS

ECG . I

50 H ECG .


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I ECG S S2, 16

0.009, ECG S S1. I

.

I ECG S S3, 16

32 0.005. T ECG (50 H) (50 H) LMS . T

ECG S S4

32 0.009 . I

. S

. I

, . B

, LMS

.

7.4.2 H H F ECG

T ECG ,

ECG . T ECG

.

H

ECG . T

.

B ECG. H

ECG

. T M

.

T ECG

, ECG . W

ECG ,

ECG .

T ECG ( )

. I ECG

. T

ECG , .


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N (50 H). A

.. ,

,

ECG .

F ECG . T

ECG

. B ECG ,

. T

.

7.4.2.1

0 200 400 600 800 1000 1200-1

0

1

ECG

0 200 400 600 800 1000 1200-1

0

1

HUM

0 200 400 600 800 1000 1200-20

0

20

HF-Noise

0 200 400 600 800 1000 1200-20

0

20

MixedSig

0 200 400 600 800 1000 1200-20

0

20

WithoutHum

0 200 400 600 800 1000 1200-2

0

2

Output

O ECG S HUM H F N S N F


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A ECG

,

ECG .

7.5 A I

B . ECG

. A

50/60 H ECG . A LMS

, ECG

50 H. T LMS ECG . T LMS

, ECG

.

T MATLAB ECG . T

. F

,

. T FIR ,

DSP . A FIR LMS

.

T LMS ,

FIR

.

LMS

FIR

. A ,

LMS . I ,

. O , , .

M

( ) ECG . T

. T ECG (50 H)

ECG H


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55/67



8 CHAE8

8.1 CCI AD FE EEACH

8.1.1 C

T P L

I S F T S. T

ECG ,

. I

ECG . T

.

I FIR

, FIR . T

,

.. FIR (F ) & IIR (I )

, LMS ( ) & RLS ( )

. T LMS

,

. T LMS

.

A

. T

. T

. S

.

T ECG . T

50 H. I

50 H ECG ,

. A LMS

.

T ,

. T


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LMS . T ECG

LMS ,

() . T

LMS

.

B

. T

. I

. B

ECG ,

ECG . T

LMS .

F

ECG . T ,

ECG . I

() ECG

.

8.1.2 F /F E

T

MATLAB (ECG).

I

,

ECG . T

.

I , LMS

NLMS RLS

. I

ECG .

I

.


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9 AEDI A

9.1 AAB CDE F ECG IGA

% I ECG

% 50 H N ECG LMS

;

;

= (0,'SS');

('P',[ (3)/4 (4)/4 (3)/1.5 (4)/1.5])

% C

% O ECG

F = 1000;

L=1000*10;

=1:L;

ECG_=(50);

ECG=ECG_;

=1:L/501

ECG_=[ ECG_ ECG];


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1=50; % F N S

% R ECG S

=1:(ECG_);

N_ = (2**1*/F); % P L I

% R N S ECG

M_ = ECG_ + N_; % ECG S P N

%%%%%%%%%%%%%%%% POWER LINE INTERFERENCE %%%%%%%%%%%%%%%

%%%%%%%%%%%%%A LMS %%%%%%%%%%%%%

%P H=;

=ECG_;

=N_;

=M_;

=++;

1=()*N_;

_=15;

=(1,_);

=0.005; % L M S (LMS) .

FT=16; =1:L

1=0;


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=1:_

1=1+ (,)*1(+1);

()=1;()=()();


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% O ECG S

(5,1,1); () ;('O ECG S');

% P L I (L F N)

(5,1,2);() ;('50 H N S');

% M ECG S P L I (50 H)

(5,1,3);() ;('M S');

(5,1,4);() ;('E S');

% F O

(5,1,5);(F__O) ;('LMS F O');

;

;


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=1:(ECG_);

HUM = (2**1*/F); % L F HUM S

% R N S E ECG

H_F_N = 5*(2**2*/F + /4) +

10*(2**(2+50)*/F + 2*/7 ) ; % H F N S

M_S = ECG_ + H_F_N + HUM; % ECG S P N

F = F/2; % N F [H]

W0 = 50; % N F [H]

0 = W0*/F; % N N

BW = 10; % 3B BW [H]

B = BW*/F; % N B

1 = (0); 2 = (1 (B/2))/(1 + (B/2));

= [1+2 2*1*(1+2) 1+2];

= [2 2*1*(1+2) 2*2];

O__H=(,,M_S);

M=100;

=0.25;

=1:M

()=(2***(M/2))*(0.42 0.5*(2**/M) + 0.08*(4*/M) )/(M/2);

((M/2))=2**;

=/();


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F__O=(,1,O__H);

(1)

% O ECG S

(6,1,1);

(ECG_)

('ECG')

% L N (HUM )

(6,1,2);

(HUM)

('HUM')

% H F N

(6,1,3);

(H_F_N)

('HFN')

% M ECG S HUM H F N

(6,1,4);

(M_S)

('M S')

% O W HUM

(6,1,5);

(O__H)

('W H')

% F O


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11EFEECE

T , .

[1] S F, C K E P, A N C

ECG S, 2002

[2] ://..//A_ A 20081122

[3] R L, R ECG

A , ETH Z, E E D

G, Z

[4] A A F ECG A, N C A

D N V . T, S M, IEEE, YS Z, S M,

IEEE

[5] ://..../ER/0410//_7. A 20081123

[6] ://2.../_//. A

20080913

[7] ://..//_. A 20081123

[8] ://4../11/PDF/525_1.

[9] D. A. M N, T C P L, F 5 (2002)

C, T, A S C

U S L A. B D R, D P,

S U N,I I I A S

S, I. B A H M C, C.

[10] A E, P D. A, A A L A ECG N

[11] J L, D S P A MATLABB T A, RS P L. 2002

[12] ://.. A 20081121

[13] H J, S R HS R D F,

U L, S, 1998

[14] MATLAB S

[15] P D. C , J I. M , F S S, A B

[16] J G. P, D G. M D S P, P,

A A

[17] E. C. I, B. W. J, D S P

[18] R J, M C, J H D F U D F

D T

[19] E P. C, D F A I, J W & S, I.

1995

[20] H S, A F T, 2 E, U S A: P

H, I. 1991,

[21] K L, I D F U DS

A, D , L N. 23, 2004


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[46] L. G, L. L, G.J. W, N S C S LMS,

D E E, L U, S, 1995

[47] M H. H, J. S D S P M,

W & S.

[48] S H, A F T, F E, P H, I 2002

[49] I J C, A, S, . 3, . 1, M2005

[50] C L S H. RFI AIRSAR , J

P L C I T

[51] S A S P I J

& E E V. 18, N. 3/4, 1992.

[52] A. Z, P A F SL S, S

[53] J L. S, R B, B B I P

MB A, N H, U.S.A. R U, P,

N J, U.S.A.

[54] H, S. A F T. T E. N J: PH,

I.1996

Removal of Power Line Interference and Noise Important Matlab

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