VYSOK UEN TECHNICK V BRN BRNO UNIVERSITY OF TECHNOLOGY

FAKULTA ELEKTROTECHNIKY A KOMUNIKANCH TECHNOLOGI

STAV RADIOELEKTRONIKY

FACULTY OF ELECTRICAL ENGINEERING AND COMMUNICATION

DEPARTMENT OF RADIO ELECTRONICS

OPTIMLN DETEKCE KONCE VLNY T V SIGNLECH EKG OPTIMAL DETECTION OF THE TWAVE END IN ECG SIGNALS

BAKALSK PRCE

BACHELORS THESIS

AUTOR PRCE PATRIK LORENC

AUTHOR

VEDOUC PRCE Ing. MARTIN VTEK

SUPERVISOR

BRNO, 2011

VYSOK UEN TECHNICK V BRN Fakulta elektrotechniky a komunikanch technologi stav radioelektroniky

Bakalsk prce

bakalsk studijn obor

Elektronika a sdlovac technika

Student: Lorenc Patrik ID: 72418

Ronk: 3 Akademick rok: 2010/11

NZEV TMATU:

Optimln detekce konce vlny T v signlech EKG

POKYNY PRO VYPRACOVN:

BB2E: Seznamte se zkladnmi principy vlnkov trans formace, a souvisejcmi funkcemi v Matlabu.

Nastudujte zkladn morfologii vlny T v signlech E KG a navrhnte metodu detekce jejho konce, vetn blokovho schmatu metody. BBCE: Vytvote modely rznch variant vln T v Matlabu a detekujte jejich konce s vyuitm navren metody a rznch typ mateskch vlnek. Vsledkem testovn by mlo bt nalezen optimln matesk vlnky pro detekci konce vlny T. DOPORUEN LITERATURA: [1] LI, C., ZHENG, C., TAI, C. Detection of ECG characteristic points using wavelet transforms. IEEE Transactions on Biomedical Engineering. 1995, vol. 42, no. 1, p. 21-28. [2] MARTINEZ, J. P., ALMEIDA, R., OLMOS, S., ROCHA, A. P., LAGUNA, P. A wavelet-based ECG delineator: evaluation on standard databases. IEEE Transactions on Biomedical Engineering. 2004, vol. 51, no. 4, p. 570-581.

Termn zadn: 7.2.2011 Termn odevzdn: 27.5.2011

Vedouc prce: Ing. Martin Vtek

prof. Dr. Ing. Zbynk Raida

pedseda oborov rady

UPOZORNN: Autor bakalsk prce nesm pi vytven bakalsk prce poruit autorsk prva tetch osob, zejmna nesm zasahovat nedovolenm zpsobem do cizch autorskch prv osobnostnch a mus si bt pln vdom nsledku poruen ustanoven 11 a nsledujcch autorskho zkona . 121/2000 Sb., vetn monch trestnprvnch dsledku vyplvajcch z ustanoven sti druh, hlavy VI. dl 4 Trestnho zkonku c.40/2009 Sb..

Abstrakt:

Tato prce se zabv optimln detekc konce vlny T v EKG signlech, kter

vyuv metodu vlnkov transformace. Metoda vlnkov transformace je dnes

pomrn dost uvan, protoe v praxi dosahuje dobrch vsledk. Clem prce je

obecn seznmen s EKG signlem, vlnkovou transformac a tak s metodou a

realizac detekce konce T vlny.

Klov slova:

EKG, vlnkov transformace, T vlna, detekce konce T vlny

Abstract:

This work deals with the optimal detection of the T wave end in ECG signals,

which uses the method of wavelet transform. Method of wavelet transform is now

used quite a lot, because in practice it achieves good results. The aim of this work is

a general introduction to ECG signal, wavelet transforms, and also with the method

and realization of the T wave end detection.

Key words:

ECG, wavelet transform, T wave, T wave end detection

LORENC, P. Optimln detekce konce vlny T v signlech EKG. Brno: Vysok uen

technick v Brn, Fakulta elektrotechniky a komunikanch technologi, stav

radioelektroniky, 2010. 39 s. Bakalsk prce. Vedouc prce: Ing. Martin Vtek.

Prohlen

Prohlauji, e svou bakalskou prci na tma Optimln detekce konce vlny T

v signlech EKG jsem vypracoval samostatn pod vedenm vedoucho bakalsk

prce a s pouitm odborn literatury a dalch informanch zdroj, kter jsou

vechny citovny v prci a uvedeny v seznamu literatury na konci prce.

Jako autor uveden bakalsk prce dle prohlauji, e v souvislosti s vytvoenm

tto prce jsem neporuil autorsk prva tetch osob, zejmna jsem nezashl

nedovolenm zpsobem do cizch autorskch prv osobnostnch a jsem si pln

vdom nsledk poruen ustanoven 11 a nsledujcch autorskho zkona .

121/2000 Sb., vetn monch trestnprvnch dsledk vyplvajcch z ustanoven

152 trestnho zkona . 140/1961 Sb.

V Brn dne 28. kvtna 2010 ............................................

podpis autora

Podkovn

Dkuji vedoucmu bakalsk prce Ing. Martinu Vtkovi za innou metodickou,

pedagogickou a odbornou pomoc a dal cenn rady pi zpracovn m bakalsk

prce.

V Brn dne 28. kvtna 2010 ............................................

podpis autora

Obsah 1 vod................................................................................................................................1

2 Elektrokardiogram ...........................................................................................................2

2.1 Historie EKG ............................................................................................................2

2.2 EKG Obecn ............................................................................................................2

2.3 Vznik a prbh EKG signlu .....................................................................................2

2.3.1 Vlna P ...............................................................................................................4

2.3.2 QRS komplex ....................................................................................................4

2.3.3 Vlna T................................................................................................................5

2.3.4 Patologick vlna T: ............................................................................................6

2.4 Zznam elektrokardiogramu .....................................................................................6

2.4.1 Standardn bipolrn konetinov svody (I, II a III) .............................................7

2.4.2 Unipolrn konetinov svody (aVR, aVL a aVF) ...............................................7

2.4.3 Unipolrn hrudn svody (V1 a V

6) .....................................................................7

2.4.4 Frankv korigovan ortogonln systm ............................................................7

3 Vlnkov transformace ......................................................................................................8

3.1 Vlnkov transformace spojit....................................................................................8

3.2 Vlnkov transformace diskrtn ................................................................................9

3.3 Reln dyadick vlnkov transformace s diskrtnm asem .....................................9

4 Metody detekce .............................................................................................................11

4.1 Vlnkov metody ......................................................................................................11

4.2 Ostatn metody .......................................................................................................12

5 Realizace detekce konce T vlny u namodelovanch T vln .............................................13

5.1 Modelovn T vln ....................................................................................................13

5.2 Detekce konce T vlny na namodelovanch vlnch .................................................14

5.3 Zhodnocen vsledk detekce ................................................................................15

6 Nvrh a realizace detekce konce T vlny ........................................................................17

6.1 Typy algoritmu pro detekci .....................................................................................17

6.2 Pouit matesk vlnky...........................................................................................18

6.2.1 Haarova vlnka .................................................................................................18

6.2.2 Vlnky Daubechies ...........................................................................................19

6.2.3 Biorthogonln vlnky ........................................................................................20

6.2.4 Vlnky symlets ..................................................................................................21

6.3 Princip detekce QRS komplexu ..............................................................................21

6.4 Princip detekce konce vlny T ..................................................................................24

6.5 Ukzky detekce konce T vlny .................................................................................27

6.5.1 Detekce vlnkou bior1.3 ....................................................................................28

6.5.2 Detekce vlnkou bior1.5 ....................................................................................29

6.5.3 Detekce vlnkou db2 .........................................................................................30

6.5.4 Detekce vlnkou haar........................................................................................31

6.5.5 Detekce vlnkou sym2 ......................................................................................32

6.5.6 Zhodnocen ukzek detekce ............................................................................33

6.6 Standardn databze EKG signl CSE .................................................................33

6.7 Zhodnocen spnosti detekce .............................................................................34

6.8 Srovnn metod detekce..................