2 research outputs found
ΠΠ¦ΠΠΠΠ Π‘Π’ΠΠ’ΠΠ‘Π’ΠΠ§ΠΠ‘ΠΠΠ₯ Π₯ΠΠ ΠΠΠ’ΠΠ ΠΠ‘Π’ΠΠ ΠΠΠΠΠ ΠΠ€ΠΠ§ΠΠ‘ΠΠΠ ΠΠΠΠΠ₯Π ΠΠ Π ΠΠΠΠΠΠΠΠΠΠΠ¬ΠΠΠ Π ΠΠΠΠ‘Π’Π ΠΠ¦ΠΠ ΠΠΠΠΠ’Π ΠΠΠΠ ΠΠΠΠ‘ΠΠΠΠΠΠ
Electromyographic noise is one of the most common noises in electrocardiogram. In case of several electrocardiogram leads, electromyographic noise affects each lead to different extent. It can be taken into account when developing algorithms for multilead electrocardiogram record processing. However, in the existing literature, there is no information about the relationship of electromyographic noise in various ECG leads and their joint probability distribution. The purpose of this paper is to study statistical characteristics of electromyographic noise in ECG signal, from which the electromyographic noise is extracted. The paper proposes a method for extracting electromyographic noise from electrocardiogram signal, based on a polynomial approximation of electrocardiogram signal fragments in sliding window with overlapping fragment subsequent weight averaging. Using this method, fragments of electromyographic noise are extracted from multichannel electrocardiogram records. Based on the obtained data, a joint probability distribution function of electromyographic noise in two adjacent leads is selected, and the correlation relationships between the electromyographic noise in various ECG leads are investigated. The results show that the joint probability distribution function of electromyographic noise in two adjacent leads in the first approximation can be described using bivariate normal distribution. In addition, between the samples of electromyographic noise from two adjacent leads quite strong correlation relationships can be observed.ΠΠΈΠΎΠ³ΡΠ°ΡΠΈΡΠ΅ΡΠΊΠ°Ρ ΠΏΠΎΠΌΠ΅Ρ
Π° ΡΠ²Π»ΡΠ΅ΡΡΡ ΠΎΠ΄Π½ΠΎΠΉ ΠΈΠ· ΡΠ°ΠΌΡΡ
ΡΠ°ΡΠΏΡΠΎΡΡΡΠ°Π½Π΅Π½Π½ΡΡ
ΠΏΠΎΠΌΠ΅Ρ
, ΠΏΡΠΈΡΡΡΡΡΠ²ΡΡΡΠΈΡ
Π² ΡΠ»Π΅ΠΊΡΡΠΎΠΊΠ°ΡΠ΄ΠΈΠΎΡΠΈΠ³Π½Π°Π»Π΅. Π ΡΠ»ΡΡΠ°Π΅ ΠΈΡΠΏΠΎΠ»ΡΠ·ΠΎΠ²Π°Π½ΠΈΡ Π½Π΅ΡΠΊΠΎΠ»ΡΠΊΠΈΡ
ΠΎΡΠ²Π΅Π΄Π΅Π½ΠΈΠΉ ΡΠ»Π΅ΠΊΡΡΠΎΠΊΠ°ΡΠ΄ΠΈΠΎΡΠΈΠ³Π½Π°Π»Π° ΠΌΠΈΠΎΠ³ΡΠ°ΡΠΈΡΠ΅ΡΠΊΠ°Ρ ΠΏΠΎΠΌΠ΅Ρ
Π° Π² ΡΠ°Π·Π½ΠΎΠΉ ΡΡΠ΅ΠΏΠ΅Π½ΠΈ ΠΎΠΊΠ°Π·ΡΠ²Π°Π΅Ρ Π²Π»ΠΈΡΠ½ΠΈΠ΅ Π½Π° ΠΊΠ°ΠΆΠ΄ΠΎΠ΅ ΠΈΠ· ΠΎΡΠ²Π΅Π΄Π΅Π½ΠΈΠΉ. ΠΡΠΎ Π²Π»ΠΈΡΠ½ΠΈΠ΅ ΠΌΠΎΠΆΠ΅Ρ Π±ΡΡΡ ΡΡΡΠ΅Π½ΠΎ ΠΏΡΠΈ ΠΏΠΎΡΡΡΠΎΠ΅Π½ΠΈΠΈ Π°Π»Π³ΠΎΡΠΈΡΠΌΠΎΠ² ΠΎΠ±ΡΠ°Π±ΠΎΡΠΊΠΈ ΠΌΠ½ΠΎΠ³ΠΎΠΊΠ°Π½Π°Π»ΡΠ½ΡΡ
Π·Π°ΠΏΠΈΡΠ΅ΠΉ ΡΠ»Π΅ΠΊΡΡΠΎΠΊΠ°ΡΠ΄ΠΈΠΎΡΠΈΠ³Π½Π°Π»Π°. ΠΠ΄Π½Π°ΠΊΠΎ Π² ΡΡΡΠ΅ΡΡΠ²ΡΡΡΠ΅ΠΉ Π»ΠΈΡΠ΅ΡΠ°ΡΡΡΠ΅ Π½Π΅Π΄ΠΎΡΡΠ°ΡΠΎΡΠ½ΠΎ ΠΏΠΎΠ»Π½ΠΎ ΠΈΡΡΠ»Π΅Π΄ΠΎΠ²Π°Π½ Π°Π½Π°Π»ΠΈΠ· Π²Π·Π°ΠΈΠΌΠΎΡΠ²ΡΠ·Π΅ΠΉ ΠΎΡΡΡΠ΅ΡΠΎΠ² ΠΌΠΈΠΎΠ³ΡΠ°ΡΠΈΡΠ΅ΡΠΊΠΎΠΉ ΠΏΠΎΠΌΠ΅Ρ
ΠΈ Π² ΡΠ°Π·Π»ΠΈΡΠ½ΡΡ
ΠΎΡΠ²Π΅Π΄Π΅Π½ΠΈΡΡ
ΡΠ»Π΅ΠΊΡΡΠΎΠΊΠ°ΡΠ΄ΠΈΠΎΡΠΈΠ³Π½Π°Π»Π°. Π¦Π΅Π»Ρ ΡΠ°Π±ΠΎΡΡ β ΡΠΌΠΏΠΈΡΠΈΡΠ΅ΡΠΊΠΎΠ΅ ΠΈΡΡΠ»Π΅Π΄ΠΎΠ²Π°Π½ΠΈΠ΅ ΡΡΠ°ΡΠΈΡΡΠΈΡΠ΅ΡΠΊΠΈΡ
Ρ
Π°ΡΠ°ΠΊΡΠ΅ΡΠΈΡΡΠΈΠΊ ΠΌΠΈΠΎΠ³ΡΠ°ΡΠΈΡΠ΅ΡΠΊΠΎΠΉ ΠΏΠΎΠΌΠ΅Ρ
ΠΈ, Π²ΡΠ΄Π΅Π»Π΅Π½Π½ΠΎΠΉ ΠΈΠ· Π·Π°ΡΡΠΌΠ»Π΅Π½Π½ΡΡ
ΡΡΠ°Π³ΠΌΠ΅Π½ΡΠΎΠ² ΡΠ»Π΅ΠΊΡΡΠΎΠΊΠ°ΡΠ΄ΠΈΠΎΡΠΈΠ³Π½Π°Π»Π°. ΠΡΠ΅Π΄Π»ΠΎΠΆΠ΅Π½ ΠΌΠ΅ΡΠΎΠ΄ Π²ΡΠ΄Π΅Π»Π΅Π½ΠΈΡ ΠΌΠΈΠΎΠ³ΡΠ°ΡΠΈΡΠ΅ΡΠΊΠΎΠΉ ΠΏΠΎΠΌΠ΅Ρ
ΠΈ ΠΈΠ· Π·Π°ΠΏΠΈΡΠ΅ΠΉ ΡΠ»Π΅ΠΊΡΡΠΎΠΊΠ°ΡΠ΄ΠΈΠΎΡΠΈΠ³Π½Π°Π»Π°. ΠΠ΅ΡΠΎΠ΄ ΠΎΡΠ½ΠΎΠ²Π°Π½ Π½Π° ΠΏΠΎΠ»ΠΈΠ½ΠΎΠΌΠΈΠ°Π»ΡΠ½ΠΎΠΉ Π°ΠΏΠΏΡΠΎΠΊΡΠΈΠΌΠ°ΡΠΈΠΈ ΡΡΠ°Π³ΠΌΠ΅Π½ΡΠΎΠ² ΡΠ»Π΅ΠΊΡΡΠΎΠΊΠ°ΡΠ΄ΠΈΠΎΡΠΈΠ³Π½Π°Π»Π° Π² ΡΠΊΠΎΠ»ΡΠ·ΡΡΠ΅ΠΌ ΠΎΠΊΠ½Π΅ Ρ ΠΏΠΎΡΠ»Π΅Π΄ΡΡΡΠΈΠΌ Π²Π΅ΡΠΎΠ²ΡΠΌ ΡΡΡΠ΅Π΄Π½Π΅Π½ΠΈΠ΅ΠΌ ΠΏΠ΅ΡΠ΅ΠΊΡΡΠ²Π°ΡΡΠΈΡ
ΡΡ ΡΡΠ°Π³ΠΌΠ΅Π½ΡΠΎΠ². Π‘ ΠΈΡΠΏΠΎΠ»ΡΠ·ΠΎΠ²Π°Π½ΠΈΠ΅ΠΌ Π΄Π°Π½Π½ΠΎΠ³ΠΎ ΠΌΠ΅ΡΠΎΠ΄Π° ΠΈΠ· ΠΌΠ½ΠΎΠ³ΠΎΠΊΠ°Π½Π°Π»ΡΠ½ΡΡ
Π·Π°ΠΏΠΈΡΠ΅ΠΉ ΡΠ»Π΅ΠΊΡΡΠΎΠΊΠ°ΡΠ΄ΠΈΠΎΡΠΈΠ³Π½Π°Π»Π° Π±ΡΠ»ΠΈ Π²ΡΠ΄Π΅Π»Π΅Π½Ρ ΡΡΠ°Π³ΠΌΠ΅Π½ΡΡ ΠΌΠΈΠΎΠ³ΡΠ°ΡΠΈΡΠ΅ΡΠΊΠΎΠΉ ΠΏΠΎΠΌΠ΅Ρ
ΠΈ. ΠΠ° ΠΎΡΠ½ΠΎΠ²Π΅ Π²ΡΠ΄Π΅Π»Π΅Π½Π½ΡΡ
ΡΡΠ°Π³ΠΌΠ΅Π½ΡΠΎΠ² ΠΏΠΎΠ΄ΠΎΠ±ΡΠ°Π½ΠΎ ΡΠΎΠ²ΠΌΠ΅ΡΡΠ½ΠΎΠ΅ ΡΠ°ΡΠΏΡΠ΅Π΄Π΅Π»Π΅Π½ΠΈΠ΅ ΠΎΡΡΡΠ΅ΡΠΎΠ² ΠΌΠΈΠΎΠ³ΡΠ°ΡΠΈΡΠ΅ΡΠΊΠΎΠΉ ΠΏΠΎΠΌΠ΅Ρ
ΠΈ Π² Π΄Π²ΡΡ
ΡΠΌΠ΅ΠΆΠ½ΡΡ
ΠΎΡΠ²Π΅Π΄Π΅Π½ΠΈΡΡ
, Π° ΡΠ°ΠΊΠΆΠ΅ ΠΈΡΡΠ»Π΅Π΄ΠΎΠ²Π°Π½Ρ ΠΊΠΎΡΡΠ΅Π»ΡΡΠΈΠΎΠ½Π½ΡΠ΅ Π²Π·Π°ΠΈΠΌΠΎΡΠ²ΡΠ·ΠΈ ΠΌΠ΅ΠΆΠ΄Ρ ΠΎΡΡΡΠ΅ΡΠ°ΠΌΠΈ ΠΌΠΈΠΎΠ³ΡΠ°ΡΠΈΡΠ΅ΡΠΊΠΎΠΉ ΠΏΠΎΠΌΠ΅Ρ
ΠΈ Π² ΡΠ°Π·Π»ΠΈΡΠ½ΡΡ
ΠΎΡΠ²Π΅Π΄Π΅Π½ΠΈΡΡ
ΡΠ»Π΅ΠΊΡΡΠΎΠΊΠ°ΡΠ΄ΠΈΠΎΡΠΈΠ³Π½Π°Π»Π°. Π ΡΠ΅Π·ΡΠ»ΡΡΠ°ΡΠ΅ ΡΡΡΠ°Π½ΠΎΠ²Π»Π΅Π½ΠΎ, ΡΡΠΎ ΡΠΎΠ²ΠΌΠ΅ΡΡΠ½ΠΎΠ΅ ΡΠ°ΡΠΏΡΠ΅Π΄Π΅Π»Π΅Π½ΠΈΠ΅ ΠΎΡΡΡΠ΅ΡΠΎΠ² ΠΌΠΈΠΎΠ³ΡΠ°ΡΠΈΡΠ΅ΡΠΊΠΎΠΉ ΠΏΠΎΠΌΠ΅Ρ
ΠΈ Π² Π΄Π²ΡΡ
ΡΠΌΠ΅ΠΆΠ½ΡΡ
ΠΎΡΠ²Π΅Π΄Π΅Π½ΠΈΡΡ
Π² ΠΏΠ΅ΡΠ²ΠΎΠΌ ΠΏΡΠΈΠ±Π»ΠΈΠΆΠ΅Π½ΠΈΠΈ ΠΌΠΎΠΆΠ΅Ρ Π±ΡΡΡ ΠΎΠΏΠΈΡΠ°Π½ΠΎ Ρ ΠΏΠΎΠΌΠΎΡΡΡ Π΄Π²ΡΠΌΠ΅ΡΠ½ΠΎΠ³ΠΎ Π½ΠΎΡΠΌΠ°Π»ΡΠ½ΠΎΠ³ΠΎ Π·Π°ΠΊΠΎΠ½Π°. ΠΡΠΎΠΌΠ΅ ΡΠΎΠ³ΠΎ, ΠΌΠ΅ΠΆΠ΄Ρ ΠΎΡΡΡΠ΅ΡΠ°ΠΌΠΈ ΠΌΠΈΠΎΠ³ΡΠ°ΡΠΈΡΠ΅ΡΠΊΠΎΠΉ ΠΏΠΎΠΌΠ΅Ρ
ΠΈ ΠΈΠ· Π΄Π²ΡΡ
ΡΠΌΠ΅ΠΆΠ½ΡΡ
ΠΎΡΠ²Π΅Π΄Π΅Π½ΠΈΠΉ ΠΌΠΎΠ³ΡΡ Π½Π°Π±Π»ΡΠ΄Π°ΡΡΡΡ Π΄ΠΎΠ²ΠΎΠ»ΡΠ½ΠΎ ΡΠΈΠ»ΡΠ½ΡΠ΅ ΠΊΠΎΡΡΠ΅Π»ΡΡΠΈΠΎΠ½Π½ΡΠ΅ Π²Π·Π°ΠΈΠΌΠΎΡΠ²ΡΠ·ΠΈ
EVALUATION OF ELECTROMYOGRAPHIC NOISE STATISTICAL CHARACTERISTICS IN MULTICHANNEL ECG RECORDINGS
Electromyographic noise is one of the most common noises in electrocardiogram. In case of several electrocardiogram leads, electromyographic noise affects each lead to different extent. It can be taken into account when developing algorithms for multilead electrocardiogram record processing. However, in the existing literature, there is no information about the relationship of electromyographic noise in various ECG leads and their joint probability distribution. The purpose of this paper is to study statistical characteristics of electromyographic noise in ECG signal, from which the electromyographic noise is extracted. The paper proposes a method for extracting electromyographic noise from electrocardiogram signal, based on a polynomial approximation of electrocardiogram signal fragments in sliding window with overlapping fragment subsequent weight averaging. Using this method, fragments of electromyographic noise are extracted from multichannel electrocardiogram records. Based on the obtained data, a joint probability distribution function of electromyographic noise in two adjacent leads is selected, and the correlation relationships between the electromyographic noise in various ECG leads are investigated. The results show that the joint probability distribution function of electromyographic noise in two adjacent leads in the first approximation can be described using bivariate normal distribution. In addition, between the samples of electromyographic noise from two adjacent leads quite strong correlation relationships can be observed