Detection and Filtering Detection and Filtering of of

Surface Electromyography(sEMG)Surface Electromyography(sEMG)

ByByShafivullah Mohd.Shafivullah Mohd.

07024D140207024D1402Department of ECEDepartment of ECE

University College of Engineering, University College of Engineering, JNTU, KakinadaJNTU, Kakinada

UNDER THE ESTEEMED GUIDENS OFUNDER THE ESTEEMED GUIDENS OFSmt. U.V. Ratna KumariSmt. U.V. Ratna Kumari

M.TechM.TechDepartment of ECEDepartment of ECE

University College of Engineering,University College of Engineering,JNTU, KakinadaJNTU, Kakinada

In INDIA the present research works on BMI is very less.

To improve the QOL of the disabled and the elderlyPersons.

There are a large number of people with severe motor disabilities due to a variety of causes.

WHY THIS PROJECT WAS SELECTED ?

METHODOLOGYMETHODOLOGY

Our methodology consisted of the following steps:Our methodology consisted of the following steps:

1. Select gestures.1. Select gestures. 2. Apply electrodes 2. Apply electrodes 3. Acquire signals.3. Acquire signals. 4. Detection of the EMG Signal4. Detection of the EMG Signal 5. Filtering of the EMG Signal5. Filtering of the EMG Signal

BLOCK DIAGRAM:

PROJECT specifications

Voltage range : 0 to 5v

EMG signal voltage range : 500 µV to 1000 µV

EMG signal frequency range : 50Hz to 150Hz

Operating Condition :strained condition

INTRODUCTION TO

EMG

Electromyography :Electromyography :

Defined as the preparation, study of, Defined as the preparation, study of, andand interpretation of interpretation of electromyogramselectromyograms

Electromyogram:Electromyogram: Defined as the electrical activity associated with the contraction Defined as the electrical activity associated with the contraction

of a muscleof a muscle

Greek derivative:Greek derivative: ElektronElektron-amber, + -amber, + mysmys-muscle, -muscle, grammagramma-something written-something written

ElectromyographyElectromyographyUses:Uses: Provides an indication of how much a muscle is being used Provides an indication of how much a muscle is being used

during particular types of activityduring particular types of activity

Is a muscle on or off in an activity?Is a muscle on or off in an activity?

ClinicalClinical:: Assessment of neuromuscular and neurological disordersAssessment of neuromuscular and neurological disorders

EMG ElectrodesEMG Electrodes

2 Basic Categories2 Basic Categories

IndwellingIndwelling Study activation of a single motor unitStudy activation of a single motor unit NeedleNeedle Fine WireFine Wire

SurfaceSurface Study composite action of multiple motor unitsStudy composite action of multiple motor units

sEMG ElectrodessEMG Electrodes

There are three types of sEMG ElectrodesThere are three types of sEMG Electrodes Single DifferentialSingle Differential Double DifferentialDouble Differential Pre-AmplifiedPre-Amplified

Δ

Artifact and Noise in sEMG SignalArtifact and Noise in sEMG Signal

Due to cable movementDue to cable movement

Due to Electrode movementDue to Electrode movement

Due to Muscle cross talkDue to Muscle cross talk

PRECAUTIONS TO BE TAKEN BEFOREPRECAUTIONS TO BE TAKEN BEFORE PLACING OF SURFACE ELECTRODESPLACING OF SURFACE ELECTRODES

1) Clean with alcohol2) Dry to ensure good connection

3) Place the electrodes 4) Connect cables to electrodes and fasten with tape

Position of the electrodes according to the muscle Structure

Flexor Digitrom Superficial

Flexor Carpi Radials

Extensor Carpi Radials

longes

GESTURE PERFORMANCE AND RESULTING PATTERNS

Magnitude of sEMG SignalMagnitude of sEMG Signal

Maximum of 5 Maximum of 5 μμV range at skinV range at skin

Gain should be set to maximize range of A/DGain should be set to maximize range of A/D

Convert raw Volts of A/D to mV measured at Convert raw Volts of A/D to mV measured at skinskin

Signal ProcessingSignal Processing

AmplitudeAmplitude

RawEMG

Root Mean Square (Value)

Rectified EMG (Curve)

Linear Envelop (Curve)

Integrated (Value)

Post Processing of EMG DataPost Processing of EMG Data

RectificationRectification FilterFilter

Low pass linear envelop (~ 3 Hz cutoff)Low pass linear envelop (~ 3 Hz cutoff) Band pass filter (10 – 20 Hz, signal passes Band pass filter (10 – 20 Hz, signal passes

between)between) Integrated EMG (IEMG)Integrated EMG (IEMG)

Signal ProcessingSignal ProcessingRaw EMGRaw EMG

Signal ProcessingSignal ProcessingFull Wave RectifiedFull Wave Rectified

REMG = |raw EMG|REMG = |raw EMG|

Signal ProcessingSignal Processing

Signal ProcessingSignal ProcessingLinear EnvelopLinear Envelop

Butterworth 2Butterworth 2ndnd order, cutoff = 10 Hz order, cutoff = 10 Hz

EXPERIMENTAL SETTING

20 SUBJECTS WERE SELECTED

• 9 FEMALES, 11 MALES

• AVERAGE AGE 21.85 YEARS

• WEIGHT AVERAGE 52.15 KG.

• 20 RIGHT HANDS, NILL LEFT HANDS

EXPERIMENTAL SETUP

TWO PHASES

FIRST PHASE 10 nos as a standard values.

Subject 1: 6 Gestures 3 Features = 18 ParametersSubject 2: 6 Gestures 3 Features = 18 parameters---Subject 10: 6 Gestures 3 Features = 18 parameters

ResultsResults

Detected EMG Signal Filtered EMG Signal

Detected EMG Signal Filtered EMG Signal

HARDWARE SETUP

Useful for paralysis person

Useful for spinal cord injured persons

Useful in military applications

ADVANTAGES OF OUR PROJECT

There are number of spines in our spinal cord, we don’t know which one is damaged.

Only for fourth order nerve damage our project is applicable.

Limitations Of Our Project

ConclusionConclusion

Voluntary muscle activity can be successfully detected and filtered by the described set-up.

Simple proportional control of the stimulation intensity depending on voluntary muscle activity could be realized.

REFERENCES Shafivullah Mohd.Shafivullah Mohd.,, Prof. Rajesh Kumar., V. Rajesh Kumar, Prof. Rajesh Kumar., V. Rajesh Kumar, Detection and filtering Detection and filtering

of EMG for assessing voluntary muscle activityof EMG for assessing voluntary muscle activity National Journal National Journal ISBN ISBN KARENG/2002/9995 JL. OFKARENG/2002/9995 JL. OF Instrum.soc.India 39 (4) Nov-Dec 2009 Instrum.soc.India 39 (4) Nov-Dec 2009

Chan, A. D. C. & Englehart, K. B.(2005), `Continuous myoelectric control for powered Chan, A. D. C. & Englehart, K. B.(2005), `Continuous myoelectric control for powered prostheses using hidden Markov models', IEEE Transactions on Biomedical Engineering, prostheses using hidden Markov models', IEEE Transactions on Biomedical Engineering, Vol. 52, No.1, pp. 121-124.Vol. 52, No.1, pp. 121-124.

Cheron,G. Draye, J. Bourgeios, M. & Libert,G.(1996), `A Dynamic Neural Network Cheron,G. Draye, J. Bourgeios, M. & Libert,G.(1996), `A Dynamic Neural Network Identification of Electromyography and Arm Trajectory Relationship During Complex Identification of Electromyography and Arm Trajectory Relationship During Complex Movements',IEEE Transactions on Biomedical Engineering,Vol. 43, No. 5, pp. 552-558.Movements',IEEE Transactions on Biomedical Engineering,Vol. 43, No. 5, pp. 552-558.

Fast ICA (2005), The FastICA MATLAB package, Helsinki University of Technology, Fast ICA (2005), The FastICA MATLAB package, Helsinki University of Technology, http://www.cis.hut.fi/projects/ica/fastica/. Accessed 20 Feb 2006. http://www.cis.hut.fi/projects/ica/fastica/. Accessed 20 Feb 2006.

THANK YOU

QUERIES?

r1s-r1T11 =0.0042 e1s-e1T11=0.0198 st1s-s1T11=0.0071r2s-r1T11 =-0.5659 e2s-e1T11=-7.5867 st2s-s1T11=-0.5636r3s-r1T11 =6.1763 e3s-e1T11=123.9877 st3s-s1T11=6.1764r4s-r1T11=6.1213 e4s-e1T11=122.5532 st4s-s1T11=6.1249r5s-r1T11 =3.8966 e5s-e1T11=69.3177 st5s-s1T11=3.8914r6s-r1T11 =3.0602 e6s-e1T11=51.8877 st6s-s1T11=3.0634

r1s-r2T11 =0.5724 e1s-e2T11=7.6182 st1s-s2T11 =0.5914r2s-r2T11 =0.0023 e2s-e2T11=0.0117 st2s-s2T11=0.0207r3s-r2T11 =6.7445 e3s-e2T11=131.5861 st3s-s2T11=6.7642r4s-r2T11 =6.6895 e4s-e2T11=130.1516 st4s-s2T11=6.7092r5s-r2T11 =4.4648 e5s-e2T11=76.9161 st5s-s2T11=4.035r6s-r2T11 =3.6284 e6s-e2T11=59.4861 st6s-s2T11=3.6477

r1s-r3T11 =-6.1614 e1s-e3T11=-123.9503 st1s-s3T11=-6.1585r2s-r3T11 =-6.7315 e2s-e3T11=-131.5568 st2s-s3T11=-6.7292r3s-r3T11 =0.0107 e3s-e3T11=0.0176 st3s-s3T11=0.0108r4s-r3T11 =-0.4430 e4s-e3T11=-1.4139 st4s-s3T11=-0.0407r5s-r3T11=-2.2690 e5s-e3T11=-54.6524 st5s-s3T11=-2.2742r6s-r3T11 =-3.1054 e6s-e3T11=-72.0824 st6s-s3T11=-3.1022

r1s-r4T11 =-6.1084 e1s-e4T11=-69.282 st1s-s4T11=-6.1054r2s-r4T11 =-6.6785 e2s-e4T11=-76.9081 st2s-s4T11=-6.6761r3s-r4T11 =0.0637 e3s-e4T11=54.6859 st3s-s4T11=0.0674r4s-r4T11 =0.0087 e4s-e4T11=0.0172 st4s-s4T11=0.0124r5s-r4T11 =-2.2160 e5s-e4T11=-53.2213 st5s-s4T11=-2.2211r6s-r4T11 =-3.0524 e6s-e4T11=-70.6513 st6s-s4T11=-3.0491

r1s-r5T11 =-3.8774 e1s-e5T11=-69.2820 st1s-s5T11=-3.8754r2s-r5T11 =-4.4475 e2s-e5T11=-76.8881 st2s-s5T11=-4.4461r3s-r5T11 =2.2947 e3s-e5T11=54.6849 st3s-s5T11=2.2939r4s-r5T11 =2.2397 e4s-e5T11=53.2544 st4s-s5T11=2.2424r5s-r5T11 =0.0150 e5s-e5T11=0.0159 st5s-s5T11=0.0089r6s-r5T11 =-0.8214 e6s-e5T11=-17.4141 st6s-s5T11=-0.8191

r1s-r6T11 =-3.056 e1s-e6T11=-51.8596 st1s-s6T11=-3.045r2s-r6T11 =-3.6261 e2s-e6T11=-59.4661 st2s-s6T11=3.7020r3s-r6T11 =3.1161 e3s-e6T11=72.1083 st3s-s6T11=3.1230r4s-r6T11 =3.0611 e4s-e6T11=70.6738 st4s-s6T11=3.0715r5s-r6T11 =0.8364 e5s-e6T11=17.4383 st5s-s6T11=0.8380r6s-r6T11 =0.0060 e6s-e6T11=0.0083 st6s-s6T11=0.1180

11G1

11G2

11G3

11G4

11G5

11G6

Rms 6.9508 6.3826 13.1164 13.0634 10.8324 10.005

E 48.3623 40.7639 172.332 170.901 117.664 100.241

S 6.9486 6.3643 13.1142 13.0611 10.8311 10.0092

Subject 11:

• rns stands for Gesture n standard RmsValue where n varies from 1-6 • r1t11 stands for Gesture 1 Rms value for test subject no.11

r1s-r1T12 =0.0137 e1s-e1T12=0.404 st1s-s1T12=0.0233r2s-r1T12 =-0.3564 e2s-e1T12=0.4339 st2s-s1T12=-0.5474r3s-r1T12 =6.1858 e3s-e1T12=124.0083 st3s-s1T12=6.1961r4s-r1T12=6.1308 e4s-e1T12=124.5738 st4s-s1T12=6.1411r5s-r1T12 =3.9061 e5s-e1T12=69.3383 st5s-s1T12=3.9076r6s-r1T12 =3.0697 e6s-e1T12=51.9083 st6s-s1T12=3.0796

r1s-r2T12 =0.5926 e1s-e2T12=7.6385 st1s-s2T12 =0.614r2s-r2T12 =0.0225 e2s-e2T12=0.032 st2s-s2T12=0.0433r3s-r2T12 =6.7647 e3s-e2T12=131.6064 st3s-s2T12=6.7868r4s-r2T12 =6.7097 e4s-e2T12=130.1719 st4s-s2T12=6.7318r5s-r2T12 =4.485 e5s-e2T12=76.9364 st5s-s2T12=4.4983r6s-r2T12 =3.6486 e6s-e2T12=59.5064 st6s-s2T12=3.6703

r1s-r3T12 =-6.1539 e1s-e3T12=-123.9316 st1s-s3T12=-6.1364r2s-r3T12 =-6.724 e2s-e3T12=-131.538 st2s-s3T12=-6.7064r3s-r3T12 =0.0182 e3s-e3T12=0.0363 st3s-s3T12=0.0371r4s-r3T12 =-0.0368 e4s-e3T12=-1.3982 st4s-s3T12=0.0114r5s-r3T12 =-2.2615 e5s-e3T12=-54.6337 st5s-s3T12=-2.2121r6s-r3T12 =-3.0979 e6s-e3T12=-72.0637 st6s-s3T12=-3.0401

r1s-r4T15 =-6.0889 e1s-e4T15=-122.5005 st1s-s4T15=-6.0964r2s-r4T15 =-6.659 e2s-e4T15=-130.107 st2s-s4T15=-6.6671r3s-r4T15 =0.0832 e3s-e4T15=6.4674 st3s-s4T15=0.0764r4s-r4T15 =0.0282 e4s-e4T15=0.0329 st4s-s4T15=0.0214r5s-r4T15 =-2.1965 e5s-e4T15=-53.2026 st5s-s4T15=-2.2121r6s-r4T15 =-3.0329 e6s-e4T15=-70.6326 st6s-s4T15=-3.0401

r1s-r5T12 =-3.8597 e1s-e5T12=-69.2602 st1s-s5T12=-3.8585r2s-r5T12 =-4.4298 e2s-e5T12=-76.8667 st2s-s5T12=-4.4292r3s-r5T12 =2.3124 e3s-e5T12=54.7077 st3s-s5T12=2.3143r4s-r5T12 =2.2574 e4s-e5T12=53.2732 st4s-s5T12=2.2208r5s-r5T12 =0.0327 e5s-e5T12=0.0377 st5s-s5T12=0.0258r6s-r5T12 =-0.8027 e6s-e5T12=-17.3923 st6s-s5T12=-0.8022

r1s-r6T12 =-3.029 e1s-e6T12=-51.852 st1s-s6T12=-2.9856r2s-r6T12 =-3.5991 e2s-e6T12=-59.4585 st2s-s6T12=3.5563r3s-r6T12 =3.1431 e3s-e6T12=72.1159 st3s-s6T12=3.1872r4s-r6T12 =3.0881 e4s-e6T12=70.6814 st4s-s6T12=3.1322r5s-r6T12 =0.8634 e5s-e6T12=17.4459 st5s-s6T12=0.8987r6s-r6T12 =0.027 e6s-e6T12=0.0159 st6s-s6T12=0.0707

12G1 12G2 12G3 12G4 12G5 12G6

Rms

6.9413 6.3624 13.1089 13.0439 10.8147 9.984

E 48.3417 40.7436 172.3137 170.8826 117.6423 100.2341

S 6.9324 6.3417 13.0941 13.0521 10.8142 9.9413

Subject 12:

13G1 13G2 13G3 13G4 13G5 13G6

Rms 6.9310 6.3413 13.0943 13.0248 10.7923 9.876

e 48.3234 40.7213 172.2980 170.8934 117.6237 100.2136

s 6.9123 6.3214 13.0812 13.0423 10.7923 9.9201

r1s-r1T13 =0.024 e1s-e1T13=0.0587 st1s-s1T13=0.0434r2s-r1T13 =0.6137 e2s-e1T13=7.6608 st1s-s1T13=0.6343r3s-r1T13 =-6.1393 e3s-e1T13=-123.9159 st1s-s1T13=-6.1255r4s-r1T13 =-6.0698 e4s-e1T13=-122.4813 st1s-s1T13=-6.0866r5s-r1T13 =-3.8373 e5s-e1T13=-69.2416 st1s-s1T13=-3.8366r6s-r1T13 =-2.921 e6s-e1T13=-51.8315 st1s-s1T13= -2.9644

r1s-r2T13 =-0.5461 e1s-e1T13=-7.5478 st1s-s1T13=-0.546r2s-r2T13 =0.0436 e2s-e1T13=0.0543 st2s-s1T13=0.0437r3s-r2T13 =-6.7094 e3s-e1T13=-131.5224 st3s-s1T13=-6.7093r4s-r2T13 =-6.6399 e4s-e1T13=-130.0878 st4s-s1T13=-6.6398r5s-r2T13 =-4.4074 e5s-e1T13=-76.481 st5s-s1T13=-4.4073r6s-r2T13 =-3.4911 e6s-e1T13=-59.438 st6s-s1T13=-3.491

r1s-r3T13 =6.34 e1s-e1T13=124.0266 st1s-s1T13=-6.1255r2s-r3T13 =6.9294 e2s-e1T13=131.6287 st2s-s1T13=-6.6962r3s-r3T13 =0.1767 e3s-e1T13=0.052 st3s-s1T13=0.0473r4s-r3T13 =0.2462 e4s-e1T13=1.4866 st4s-s1T13=-0.0077r5s-r3T13 =2.4787 e5s-e1T13=54.7263 st5s-s1T13=-2.2412r6s-r3T13 =3.395 e6s-e1T13=72.1364 st6s-s1T13=-3.0692

r1s-r4T13 =6.1411 e1s-e1T13=122.5921 st1s-s1T13=-6.0866r2s-r4T13 =6.7508 e2s-e1T13=130.1942 st2s-s1T13=-6.6573r3s-r4T13 =-0.0222 e3s-e1T13=-1.3825 st3s-s1T13=-0.0862r4s-r4T13 =0.0473 e4s-e1T13=0.0521 st4s-s1T13=0.0312r5s-r4T13 =2.2798 e5s-e1T13=53.2918 st5s-s1T13=-2.2023r6s-r4T13 =3.1961 e6s-e1T13=70.7019 st6s-s1T13=-3.0303

r1s-r5T13 =3.9166 e1s-e1T13=69.3566 st1s-s1T13=-3.8366r2s-r5T13 =4.5.63 e2s-e1T13=76.9587 st2s-s1T13=-4.4073r3s-r5T13 =-2.2467 e3s-e1T13=-54.618 st3s-s1T13=2.3362r4s-r5T13 =-2.17 e4s-e1T13=-53.1834 st4s-s1T13=2.2812r5s-r5T13 =0.055 e5s-e1T13=0.0563 st5s-s1T13=0.0477r6s-r5T13 =0.971 e6s-e1T13=17.4664 st6s-s1T13=-0.7803

r1s-r6T13 =3.08 e1s-e1T13=51.9266 st1s-s1T13=-2.9644r2s-r6T13 =3.669 e2s-e1T13=59.5287 st2s-s1T13=-3.535r3s-r6T13 =-3.083 e3s-e1T13=-72.048 st3s-s1T13=3.2084r4s-r6T13 =-3.013 e4s-e1T13=-70.6134 st4s-s1T13=3.1534r5s-r6T13 =-0.7813 e5s-e1T13=-70.3737 st5s-s1T13=0.9199r6s-r6T13 =0.135 e6s-e1T13=0.0364 st6s-s1T13=0.0919

Subject13:

14 G1 14 G2 14 G3 14 G4 14 G5 14 G6

RMS 6.9296 6.3014 13.0724 13.0026 10.7742 9.7541

E 48.30174 40.7019 172.2734 170.8421 117.6041 100.2094

S 6.8928 6.3084 13.0713 13.0311 10.7712 9.9037

r1s-r1T14= 0.0654 e1s-e1T14= 0.0807 st1s-s1T14= 0.0629 r2s-r1T14= -0.5447 e2s-e1T14= -7.5258 st2s-s1T14= 0.5078 r3s-r1T14= 6.1975 e3s-e1T14= 124.0486 st3s-s1T14= 6.2357 r4s-r1T14= 6.1425 e4s-e1T14= 122.6141 st4s-s1T14= 6.1807 r5s-r1T14= 3.9178 e5s-e1T14= 69.3986 st5s-s1T14= 3.9472 r6s-r1T14= 3.0814 e6s-e1T14= 51.9486 st6s-s1T14= 3.1192

r1s-r2T14= 0.6536 e1s-e2T14= 7.6802 st1s-s2T14= 0.6473r2s-r2T14= 0.0835 e2s-e2T14= 0.0737 st2s-s2T14= 0.0766r3s-r2T14= 6.8257 e3s-e2T14= 131.6481 st3s-s2T14= 6.8201 r4s-r2T14= 6.7707 e4s-e2T14= 130.2136 st4s-s2T14=6.7651 r5s-r2T14= 4.546 e5s-e2T14= 76.9781 st5s-s2T14= 4.5316 r6s-r2T14= 3.7096 e6s-e2T14= 59.5481 st6s-s2T14= 3.7036

r1s-r3T14= -6.1174 e1s-e3T14= -123.8913 st1s-s3T14= -6.1156r2s-r3T14= -6.6875 e2s-e3T14= -131.4978 st2s-s3T14= -6.6863r3s-r3T14= 0.0547 e3s-e3T14= 0.0766 st3s-s3T14= 0.0572r4s-r3T14= -0.0003 e4s-e3T14= -1.3579 st4s-s3T14= -0.0022r5s-r3T14= -2.225 e5s-e3T14= -54.5930 st5s-s3T14= -2.2313r6s-r3T14= -3.0614 e6s-e3T14= -72.0234 st6s-s3T14= -3.0593

r1s-r4T14= -6.9550 e1s-e4T14= -122.46 st1s-s4T14= -6.0754r2s-r4T14= -6.6177 e2s-e4T14= -130.0664 st2s-s4T14= -6.6461r3s-r4T14= 0.1245 e3s-e4T14= 1.5079 st3s-s4T14= 0.0974r4s-r4T14= 0.0695 e4s-e4T14= 0.0734 st4s-s4T14= 0.0424r5s-r4T14= -2.1552 e5s-e4T14= -53.1621 st5s-s4T14= -2.1911r6s-r4T14= -2.9916 e6s-e4T14= -70.592 st6s-s4T14= -3.0191

r1s-r5T14= -3.8192 e1s-e5T14= -69.3027 st1s-s5T14= -3.8155r2s-r5T14= -4.3893 e2s-e5T14= -76.9022 st2s-s5T14= -4.3862r3s-r5T14= 2.3529 e3s-e5T14= 54.745 st3s-s5T14= 2.3573r4s-r5T14= 2.2979 e4s-e5T14= 53.3114 st4s-s5T14= 2.3023r5s-r5T14= 0.0732 e5s-e5T14= 0.0759 st5s-s5T14= 0.0688r6s-r5T14= -0.7632 e6s-e5T14= -17.354 st6s-s5T14= -0.7592

r1s-r6T14= -2.7991 e1s-e6T14= -51.8273 st1s-s6T14= -2.948r2s-r6T14= -3.3692 e2s-e6T14= -59.4338 st2s-s6T14= -3.187r3s-r6T14= 3.373 e3s-e6T14= 72.1406 st3s-s6T14= 3.2248r4s-r6T14= 3.318 e4s-e6T14= 70.7061 st4s-s6T14= 3.1698r5s-r6T14= 1.0933 e5s-e6T14= 17.4706 st5s-s6T14= 0.9363r6s-r6T14= 0.2569 e6s-e6T14= 0.0406 st6s-s6T14= 0.1083

Subject14:

r1s-r1T15 =0.0879 e1s-e1T15=0.0858 st1s-s1T15=0.0833r2s-r1T15 =-0.4821 e2s-e1T15=-7.5207 st2s-s1T15=-0.4874r3s-r1T15 =6.2614 e3s-e1T15=124.0537 st3s-s1T15=6.2561r4s-r1T15=6.2064 e4s-e1T15=122.6192 st4s-s1T15=6.2011r5s-r1T15 =3.9729 e5s-e1T15=69.3837 st5s-s1T15=3.9676r6s-r1T15 =3.1449 e6s-e1T15=51.9537 st6s-s1T15=3.1396

r1s-r2T15 =0.06733 e1s-e2T15=7.6889 st1s-s2T15 =0.6616r2s-r2T15 =0.1032 e2s-e2T15=0.0824 st2s-s2T15=0.0909r3s-r2T15 =6.8454 e3s-e2T15=131.6568 st3s-s2T15=6.8344r4s-r2T15 =6.7904 e4s-e2T15=130.2223 st4s-s2T15=6.7794r5s-r2T15 =4.5657 e5s-e2T15=76.9868 st5s-s2T15=4.5459r6s-r2T15 =3.7293 e6s-e2T15=59.5568 st6s-s2T15=3.7179

r1s-r3T15 =-6.0986 e1s-e3T15=-123.8615 st1s-s3T15=-6.1064r2s-r3T15 =-6.6687 e2s-e3T15=-131.468 st2s-s3T15=-6.6441r3s-r3T15 =0.0735 e3s-e3T15=0.1064 st3s-s3T15=0.0664r4s-r3T15 =0.0185 e4s-e3T15=-1.3281 st4s-s3T15=0.0114r5s-r3T15 =-2.2062 e5s-e3T15=-54.5636 st5s-s3T15=-2.2221r6s-r3T15 =-3.0426 e6s-e3T15=-71.9936 st6s-s3T15=-3.0801

r1s-r4T15 =-5.979 e1s-e4T15=-122.4392 st1s-s4T15=-6.0644r2s-r4T15 =-6.5491 e2s-e4T15=-166.0457 st2s-s4T15=-6.6351r3s-r4T15 =0.1931 e3s-e4T15=1.5287 st3s-s4T15=0.1084r4s-r4T15 =0.1381 e4s-e4T15=0.0942 st4s-s4T15=0.0534r5s-r4T15 =-2.0866 e5s-e4T15=-53.2213 st5s-s4T15=-2.1801r6s-r4T15 =-2.923 e6s-e4T15=-76.5713 st6s-s4T15=-3.0081

r1s-r5T15 =-3.7973 e1s-e5T15=-69.2115 st1s-s5T15=-3.7956r2s-r5T15 =-4.3674 e2s-e5T15=-76.818 st2s-s5T15=-4.3663r3s-r5T15 =2.3748 e3s-e5T15=54.7564 st3s-s5T15=2.3773r4s-r5T15 =2.3198 e4s-e5T15=53.3219 st4s-s5T15=2.3222r5s-r5T15 =0.0951 e5s-e5T15=0.0864 st5s-s5T15=0.0887r6s-r5T15 =-0.7413 e6s-e5T15=-17.3436 st6s-s5T15=-0.7393

r1s-r6T15 =-2.777 e1s-e6T15=-51.8115 st1s-s6T15=-2.9364r2s-r6T15 =-3.3471 e2s-e6T15=-59.418 st2s-s6T15=3.5071r3s-r6T15 =3.3951 e3s-e6T15=72.1564 st3s-s6T15=3.2364r4s-r6T15 =3.3401 e4s-e6T15=70.7219 st4s-s6T15=3.1814r5s-r6T15 =1.115 e5s-e6T15=17.4864 st5s-s6T15=0.9479r6s-r6T15 =0.279 e6s-e6T15=0.0564 st6s-s6T15=0.1199

15G1 15G2 15G3 15G4 15G5 15G6

Rms 6.8671 6.2817 13.0536 12.9934 10.7523 9.7320

E 48.2963 40.6932 172.2436 170.8213 117.5936 100.1936

S 6.8724 6.2941 13.0621 13.0201 10.7513 9.8921

Subject 15:

r1s-r1T16 =0.119 e1s-e1T16=0.2812 st1s-s1T16=0.1001r2s-r1T16 =-0.4582 e2s-e1T16=-7.3253 st2s-s1T16=0.4706r3s-r1T16 =6.284 e3s-e1T16=124.2491 st3s-s1T16=6.2729r4s-r1T16=6.229 e4s-e1T16=122.8146 st4s-s1T16=6.2179r5s-r1T16 =4.0045 e5s-e1T16=69.5791 st5s-s1T16=3.9884r6s-r1T16 =3.1679 e6s-e1T16=52.1491 st6s-s1T16=3.1564

r1s-r2T16 =0.684 e1s-e2T16=7.7011 st1s-s2T16 =0.6746r2s-r2T16 =0.1139 e2s-e2T16=0.0946 st2s-s2T16=0.1039r3s-r2T16 =6.8561 e3s-e2T16=131.669 st3s-s2T16=6.8474r4s-r2T16 =6.8011 e4s-e2T16=130.2345 st4s-s2T16=6.7924r5s-r2T16 =4.5766 e5s-e2T16=76.999 st5s-s2T16=4.5589r6s-r2T16 =3.74 e6s-e2T16=59.569 st6s-s2T16=3.7309

r1s-r3T16 =-6.0453 e1s-e3T16=-123.8394 st1s-s3T16=-6.0774r2s-r3T16 =-6.6211 e2s-e3T16=-131.4459 st2s-s3T16=-6.6481r3s-r3T16 =0.1278 e3s-e3T16=0.1285 st3s-s3T16=0.0954r4s-r3T16 =0.0718 e4s-e3T16=-1.306 st4s-s3T16=0.0404r5s-r3T16 =-2.1527 e5s-e3T16=-54.5415 st5s-s3T16=-2.1931r6s-r3T16 =-2.9893 e6s-e3T16=-71.9715 st6s-s3T16=-3.0211

r1s-r4T16 =-6.0051 e1s-e4T16=-122.4193 st1s-s4T16=-6.0458r2s-r4T16 =-6.5752 e2s-e4T16=-130.0258 st2s-s4T16=-6.6165r3s-r4T16 =0.167 e3s-e4T16=1.5486 st3s-s4T16=0.127r4s-r4T16 =0.112 e4s-e4T16=0.1141 st4s-s4T16=0.072r5s-r4T16 =-2.1125 e5s-e4T16=-53.1214 st5s-s4T16=-2.1615r6s-r4T16 =-2.9491 e6s-e4T16=-70.5514 st6s-s4T16=-2.9895

r1s-r5T16 =-5.7763 e1s-e5T16=-69.1952 st1s-s5T16=-3.7753r2s-r5T16 =-6.3464 e2s-e5T16=-76.8017 st2s-s5T16=-4.346r3s-r5T16 =0.3958 e3s-e5T16=54.7727 st3s-s5T16=2.3975r4s-r5T16 =0.3408 e4s-e5T16=53.3382 st4s-s5T16=2.3425r5s-r5T16 =-1.8837 e5s-e5T16=0.1027 st5s-s5T16=0.109r6s-r5T16 =-2.7303 e6s-e5T16=-17.3273 st6s-s5T16=-0.179

r1s-r6T16 =-2.7553 e1s-e6T16=-51.789 st1s-s6T16=-2.9255r2s-r6T16 =-3.3254 e2s-e6T16=-59.3955 st2s-s6T16=3.4962r3s-r6T16 =3.4168 e3s-e6T16=72.1789 st3s-s6T16=3.2473r4s-r6T16 =3.3618 e4s-e6T16=70.7444 st4s-s6T16=3.1923r5s-r6T16 =1.1373 e5s-e6T16=17.5089 st5s-s6T16=0.9588r6s-r6T16 =0.3007 e6s-e6T16=0.0789 st6s-s6T16=0.1308

16G1 16G2 16G3 16G4 16G5 16G6

Rms 6.8431 6.2710 13.0003 12.9601 12.7313 9.7103

e 48.1009 40.6810 172.2215 170.8014 117.5773 100.1711

s 6.8556 6.2811 13.0331 13.0016 10.7310 9.8812

Subject 16:

r1s-r1T17 =0.1335 e1s-e1T17=0.2827 st1s-s1T17=0.1146r2s-r1T17 =-0.4366 e2s-e1T17=-7.3238 st2s-s1T17=-0.4561r3s-r1T17 =6.3056 e3s-e1T17=124.2506 st3s-s1T17=6.2874r4s-r1T17=6.2506 e4s-e1T17=122.8161 st4s-s1T17=6.2324r5s-r1T17 =4.0261 e5s-e1T17=69.5806 st5s-s1T17=3.9989r6s-r1T17 =3.1895 e6s-e1T17=52.1506 st6s-s1T17=3.1709

r1s-r2T17 =0.6985 e1s-e2T17=7.7406 st1s-s2T17 =0.6891r2s-r2T17 =0.1284 e2s-e2T17=8.1356 st2s-s2T17=0.1184r3s-r2T17 =6.8706 e3s-e2T17=131.7085 st3s-s2T17=6.8619r4s-r2T17 =6.8156 e4s-e2T17=130.274 st4s-s2T17=6.8069r5s-r2T17 =4.5911 e5s-e2T17=77.0385 st5s-s2T17=4.5734r6s-r2T17 =3.7545 e6s-e2T17=59.6085 st6s-s2T17=3.7454

r1s-r3T17 =-6.036 e1s-e3T17=-123.8192 st1s-s3T17=-6.0662r2s-r3T17 =-6.6061 e2s-e3T17=-131.4257 st2s-s3T17=-6.6369r3s-r3T17 =0.1361 e3s-e3T17=0.1487 st3s-s3T17=0.1066r4s-r3T17 =0.0811 e4s-e3T17=-1.2858 st4s-s3T17=0.0516r5s-r3T17 =-2.1434 e5s-e3T17=-54.5213 st5s-s3T17=-2.1819r6s-r3T17 =-2.98 e6s-e3T17=-71.9513 st6s-s3T17=-3.0099

r1s-r4T17 =-5.9864 e1s-e4T17=-122.4172 st1s-s4T17=-6.0394r2s-r4T17 =-6.5565 e2s-e4T17=-130.0237 st2s-s4T17=-6.6101r3s-r4T17 =0.1857 e3s-e4T17=1.5507 st3s-s4T17=0.1334r4s-r4T17 =0.1307 e4s-e4T17=0.1162 st4s-s4T17=0.0784r5s-r4T17 =-2.0938 e5s-e4T17=-53.1193 st5s-s4T17=-2.1551r6s-r4T17 =-2.9304 e6s-e4T17=-70.5493 st6s-s4T17=-0.707

r1s-r5T17 =-5.7651 e1s-e5T17=-69.1689 st1s-s5T17=-3.7633r2s-r5T17 =-6.3352 e2s-e5T17=-76.7754 st2s-s5T17=-4.334r3s-r5T17 =0.407 e3s-e5T17=54.799 st3s-s5T17=2.4095r4s-r5T17 =0.352 e4s-e5T17=53.3645 st4s-s5T17=2.3545r5s-r5T17 =-1.8725 e5s-e5T17=0.129 st5s-s5T17=0.121r6s-r5T17 =-2.9304 e6s-e5T17=-17.301 st6s-s5T17=-0.707

r1s-r6T17 =-2.7444 e1s-e6T17=-51.773 st1s-s6T17=-2.9115r2s-r6T17 =-3.3145 e2s-e6T17=-59.3795 st2s-s6T17=-3.4822r3s-r6T17 =3.4277 e3s-e6T17=72.1949 st3s-s6T17=3.2613r4s-r6T17 =3.3727 e4s-e6T17=70.7604 st4s-s6T17=3.2063r5s-r6T17 =1.1482 e5s-e6T17=17.5249 st5s-s6T17=0.9728r6s-r6T17 =0.3116 e6s-e6T17=0.0949 st6s-s6T17=0.1448

17G1 17G2 17G3 17G4 17G5 17G6

Rms 6.8215 6.2565 12.991 12.9414 12.7201 9.6994

E 48.0994 32.64 172.2013 170.7993 117.5510 100.1551

S 6.8411 6.2666 13.0219 12.9951 10.7190 9.8672

Subject 17:

r1s-r1T18 =0.1595 e1s-e1T18=0.3142 st1s-s1T18=0.1266r2s-r1T18 =-0.4106 e2s-e1T18=-7.2923 st2s-s1T18=-0.4441r3s-r1T18 =6.3316 e3s-e1T18=124.2821 st3s-s1T18=6.2994r4s-r1T18=6.2766 e4s-e1T18=122.8476 st4s-s1T18=6.2444r5s-r1T18 =4.0521 e5s-e1T18=69.6121 st5s-s1T18=4.0109r6s-r1T18 =3.0555 e6s-e1T18=52.1821 st6s-s1T18=3.1829

r1s-r2T18 =0.7131 e1s-e2T18=7.761 st1s-s2T18 =0.7086r2s-r2T18 =0.143 e2s-e2T18=0.1545 st2s-s2T18=0.1379r3s-r2T18 =6.8852 e3s-e2T18=123.7289 st3s-s2T18=6.8814r4s-r2T18 =6.8302 e4s-e2T18=130.2944 st4s-s2T18=6.8264r5s-r2T18 =4.6057 e5s-e2T18=77.0589 st5s-s2T18=4.5929r6s-r2T18 =3.7691 e6s-e2T18=59.6289 st6s-s2T18=3.7649

r1s-r3T18 =-5.876 e1s-e3T18=-123.8092 st1s-s3T18=-6.0445r2s-r3T18 =-6.4461 e2s-e3T18=-131.4157 st2s-s3T18=-6.6152r3s-r3T18 =0.2461 e3s-e3T18=0.1587 st3s-s3T18=0.1283r4s-r3T18 =0.2911 e4s-e3T18=-1.2758 st4s-s3T18=0.0733r5s-r3T18 =-1.9834 e5s-e3T18=-54.5113 st5s-s3T18=-2.1602r6s-r3T18 =-2.82 e6s-e3T18=-71.9413 st6s-s3T18=-2.9882

r1s-r4T18 =-5.9749 e1s-e4T18=-122.399 st1s-s4T18=-6.0153r2s-r4T18 =-6.555 e2s-e4T18=-130.6055 st2s-s4T18=-6.586r3s-r4T18 =0.1972 e3s-e4T18=1.5689 st3s-s4T18=0.1575r4s-r4T18 =0.1422 e4s-e4T18=0.1344 st4s-s4T18=0.1025r5s-r4T18 =-2.0823 e5s-e4T18=-53.7011 st5s-s4T18=-2.131r6s-r4T18 =-2.9189 e6s-e4T18=-70.5311 st6s-s4T18=-2.959

r1s-r5T18 =-6.0406 e1s-e5T18=-69.157 st1s-s5T18=-3.7344r2s-r5T18 =-6.6107 e2s-e5T18=-76.7635 st2s-s5T18=-4.3051r3s-r5T18 =0.1315 e3s-e5T18=51.8109 st3s-s5T18=2.4384r4s-r5T18 =0.0765 e4s-e5T18=53.3764 st4s-s5T18=2.3834r5s-r5T18 =-2.148 e5s-e5T18=0.1409 st5s-s5T18=0.1499r6s-r5T18 =-2.9846 e6s-e5T18=-17.2891 st6s-s5T18=-0.6781

r1s-r6T18 =-2.725 e1s-e6T18=-51.7391 st1s-s6T18=-2.9028r2s-r6T18 =-3.2951 e2s-e6T18=-59.3456 st2s-s6T18=-3.4735r3s-r6T18 =3.4471 e3s-e6T18=72.2288 st3s-s6T18=3.27r4s-r6T18 =3.3921 e4s-e6T18=70.7934 st4s-s6T18=3.215r5s-r6T18 =-1.8324 e5s-e6T18=17.5588 st5s-s6T18=0.9815r6s-r6T18 =0.331 e6s-e6T18=0.1288 st6s-s6T18=0.1535

18G1 18G2 18G3 18G4 18G5 18G6

Rms 6.7955 6.2419 12.831 12.9299 12.9956 9.6800

E 48.0679 40.6211 172.1913 170.7811 117.5391 100.1212

S 6.8291 6.2471 13.00032 12.9710 10.6901 9.8585

Subject 18:

r1s-r1T19= 0.2037 e1s-e1T19= 0.339 st1s-s1T19= 0.1496 r2s-r1T19= -0.3664 e2s-e1T19= -7.2675 st2s-s1T19= -

0.4211 r3s-r1T19= 6.3758 e3s-e1T19= 124.3069 st3s-s1T19= 6.3224 r4s-r1T19= 6.3208 e4s-e1T19= 122.8724 st4s-s1T19= 6.2674 r5s-r1T19=4.0963 e5s-e1T19= 69.6369 st5s-s1T19= 4.0339 r6s-r1T19= 3.2597 e6s-e1T19= 52.2069 st6s-s1T19= 3.2059

r1s-r2T19= 0.765 e1s-e2T19= 7.7808 st1s-s2T19= 0.7336 r2s-r2T19= 0.1949 e2s-e2T19= 0.1743 st2s-s2T19= 0.1629 r3s-r2T19= 6.9371 e3s-e2T19= 131.7487 st3s-s2T19= 6.9064 r4s-r2T19= 6.8821 e4s-e2T19= 130.3142 st4s-s2T19=6.8514 r5s-r2T19= 4.6576 e5s-e2T19= 77.0787 st5s-s2T19= 4.6179

r6s-r2T19= 3.8210 e6s-e2T19= 59.6487 st6s-s2T19= 3.7899

r1s-r3T19= -5.715 e1s-e3T19= -123.7992 st1s-s3T19= -6.0355 r2s-r3T19= -6.2851 e2s-e3T19= -131.3957 st2s-s3T19= -6.6062 r 3s-r3T19= 0.4571 e3s-e3T19= 0.1787 st3s-s3T19= 0.1373 r4s-r3T19= 0.4021 e4s-e3T19= -1.2558 st4s-s3T19= -0.0823 r5s-r3T19= -1.8224 e5s-e3T19= -54.4913 st5s-s3T19= -2.1512 r6s-r3T19= -2.659 e6s-e3T19= -71.9213 st6s-s3T19= -2.9792

r1s-r4T19= -5.9401 e1s-e4T19= -122.379 st1s-s4T19= -5.9962 r2s-r4T19= -6.5102 e2s-e4T19= -129.9905 st2s-s4T19= -6.5669 r3s-r4T19= 0.2320 e3s-e4T19= 1.5839 st3s-s4T19= 0.1766 r4s-r4T19= 0.1770 e4s-e4T19= 0.1544 st4s-s4T19= 0.1216 r5s-r4T19= -2.0475 e5s-e4T19= -53.0861 st5s-s4T19= -2.1119 r6s-r4T19= -2.8841 e6s-e4T19= -70.5161 st6s-s4T19= -2.9399

r1s-r5T19= -6.0065 e1s-e5T19= -69.138 st1s-s5T19= -5.7215 r2s-r5T19= -6.5766 e2s-e5T19= -76.7445 st2s-s5T19= -4.2922 r3s-r5T19= 0.1656 e3s-e5T19= 54.8299 st3s-s5T19= 2.4513 r4s-r5T19= 0.1106 e4s-e5T19= 53.3954 st4s-s5T19= 2.3963 r5s-r5T19= -2.1139 e5s-e5T19= 0.1599 st5s-s5T19= 0.1628 r6s-r5T19= -2.9505 e6s-e5T19= -17.2701 st6s-s5T19= -0.6652

r1s-r6T19= -2.7189 e1s-e6T19= -51.599 st1s-s6T19= -2.8776 r2s-r6T19= -3.286 e2s-e6T19= -59.2055 st2s-s6T19= -3.4483 r3s-r6T19= 0.4562 e3s-e6T19= 72.3689 st3s-s6T19= 3.2952 r4s-r6T19= 3.4012 e4s-e6T19= 70.9344 st4s-s6T19= 3.2402 r5s-r6T19= 1.1767 e5s-e6T19= 17.6989 st5s-s6T19= 1.0061 r6s-r6T19= 0.3401 e6s-e6T19= 0.2689 st6s-s6T19= 0.1787

19 G1 19 G2 19 G3 19 G4 19G5 19 G6

RMS 6.7513 6.1900 12.670 12.9875 12.9615 9.6709

E 48.0431 48.6013 172.1713 170.7661 117.5201 99.9811

S 6.8061 6.2221 12.9912 12.9519 10.6772 9.8333

Subject 19:

r1s-r1T20= 0.234 e1s-e1T20= 0.3697 st1s-s1T20= 0.1601 r2s-r1T20= -0.3361 e2s-e1T20= -7.2458 st2s-s1T20= -0.106 r3s-r1T20= 6.4061 e3s-e1T20= 124.3286 st3s-s1T20= 6.3229 r4s-r1T20= 6.3511 e4s-e1T20= 122.8421 st4s-s1T20= 6.2779 r5s-r1T20=4.1266 e5s-e1T20= 69.6214 st5s-s1T20= 4.0444 r6s-r1T20= 3.29 e6s-e1T20= 52.2286 st6s-s1T20= 3.2164

r1s-r2T20= 0.7651 e1s-e2T20= 7.7911 st1s-s2T20= 0.7538 r2s-r2T20= 0.195 e2s-e2T20= 0.1846 st2s-s2T20= 0.1831 r3s-r2T20= 6.9372 e3s-e2T20= 131.759 st3s-s2T20= 6.9266 r4s-r2T20= 6.8828 e4s-e2T20= 130.3245 st4s-s2T20=6.8716 r5s-r2T20= 4.6577 e5s-e2T20= 77.089 st5s-s2T20= 4.6381 r6s-r2T20= 3.8211 e6s-e2T20= 59.659 st6s-s2T20= 3.8101

r1s-r3T20= -5.36 e1s-e3T20= -123.7698 st1s-s3T20= -6.0244 r2s-r3T20= -5.9309 e2s-e3T20= -131.3376 st2s-s3T20= -6.5951 r3s-r3T20= 0.8011 e3s-e3T20= 0.1981 st3s-s3T20= 0.1484 r4s-r3T20= 0.7571 e4s-e3T20= -1.2364 st4s-s3T20= 0.0934 r5s-r3T20= -1.4674 e5s-e3T20= -54.4719 st5s-s3T20= -2.1401 r6s-r3T20= -2.8503 e6s-e3T20= -71.9019 st6s-s3T20= -2.9681

r1s-r4T20= -5.9063 e1s-e4T20= -122.3589 st1s-s4T20= -5.76 r2s-r4T20= -6.4764 e2s-e4T20= -129.9645 st2s-s4T20= -6.5467 r3s-r4T20= 0.2658 e3s-e4T20= 1.609 st3s-s4T20= 0.1968 r4s-r4T20= 0.2108 e4s-e4T20= 0.1745 st4s-s4T20= 0.1418 r5s-r4T20= -2.0137 e5s-e4T20= -53.061 st5s-s4T20= -2.0417 r6s-r4T20= -2.929 e6s-e4T20= -70.491 st6s-s4T20= -2.9197

r1s-r5T20= -5.9985 e1s-e5T20= -69.1179 st1s-s5T20= -307002 r2s-r5T20= -6.5551 e2s-e5T20= -76.7244 st2s-s5T20= -4.2709 r3s-r5T20= 0.1871 e3s-e5T20= 54.85 st3s-s5T20= 2.4729 r4s-r5T20= 0.1321 e4s-e5T20= 53.4155 st4s-s5T20= 2.4176 r5s-r5T20= -2.0921 e5s-e5T20= 0.18 st5s-s5T20= 0.1841 r6s-r5T20= -2.62 e6s-e5T20= -17.25 st6s-s5T20= -0.6439

r1s-r6T20= -2.676 e1s-e6T20= -51.5791 st1s-s6T20= -2.8543 r2s-r6T20= -3.246 e2s-e6T20= -59.1856 st2s-s6T20= -3.425 r3s-r6T20= 3.496 e3s-e6T20= 72.3888 st3s-s6T20= 3.3185 r4s-r6T20= 3.4411 e4s-e6T20= 70.9543 st4s-s6T20= 3.2635 r5s-r6T20= 1.2166 e5s-e6T20= 17.7188 st5s-s6T20= 1.029 r6s-r6T20= 0.38 e6s-e6T20= 29.4688 st6s-s6T20= 0.202

20 G1 20 G2 20 G3 20 G4 20 G5 20 G6

Rms 6.7210 6.1899 12.315 12.8613 12.9400 9.6310

E 48.0214 40.5910 172.1519 170.7410 117.500 70.7812

S 6.7956 6.2019 12.9801 12.9317 10.6559 9.8100

Subject 20:

clc;clc; a = load('KMGKS1LL.RF.01.emg.mat');%load retrieves all variables from a file.a = load('KMGKS1LL.RF.01.emg.mat');%load retrieves all variables from a file.

aa

plot(RF);title('original signal RF');plot(RF);title('original signal RF');

b = mean(RF);%finds the mean of a vector RF.b = mean(RF);%finds the mean of a vector RF.

bb

n = length(RF);n = length(RF);

nn

rms = norm(RF)/sqrt(n);%norm (x)=Sqrt(x1^2+x2^2+.....xN^2).rms = norm(RF)/sqrt(n);%norm (x)=Sqrt(x1^2+x2^2+.....xN^2).

rmsrms

%d = entropy(RF);%d = entropy(RF);

%d%d

%if x={x1,x2,.....xn} r the samples then the variance is%if x={x1,x2,.....xn} r the samples then the variance is %var(x)=[(x1-mean(x))^2+(x2-mean(x)))^2+.......(xn-mean(x))^2]/(n-1).%var(x)=[(x1-mean(x))^2+(x2-mean(x)))^2+.......(xn-mean(x))^2]/(n-1). e = var(RF);e = var(RF);

ee

s = std(RF);%standerd deviation is std(x)=sqrt(var(x)).s = std(RF);%standerd deviation is std(x)=sqrt(var(x)).

ss

%WFILTERS are Wavelet filters compute 4 filters.%WFILTERS are Wavelet filters compute 4 filters. %db9 is the wavelet name.%db9 is the wavelet name. [Lo_D,Hi_D,Lo_R,Hi_R] = wfilters('db9');[Lo_D,Hi_D,Lo_R,Hi_R] = wfilters('db9');

%DWT-Single-level discrete 1-D wavelet transform.%DWT-Single-level discrete 1-D wavelet transform. [CA,CD] = DWT(RF,Lo_D,Hi_D);[CA,CD] = DWT(RF,Lo_D,Hi_D);

%CA-approximation coefficients vector, %CA-approximation coefficients vector, %CD-detail coefficients vector.%CD-detail coefficients vector.

figure;figure; plot(CA);title('CA - approximation coefficients vector')plot(CA);title('CA - approximation coefficients vector')

figure;figure; plot(CD);title('CD - detail coefficients vector')plot(CD);title('CD - detail coefficients vector')

%Multilevel 1-D wavelet decomposition.%Multilevel 1-D wavelet decomposition. [C,L] = wavedec(RF,3,'db9');[C,L] = wavedec(RF,3,'db9'); %C-wavelet decomposition vector. %C-wavelet decomposition vector. %L-bookkeeping vector. %L-bookkeeping vector.

figure;figure; plot(C);title('C - wavelet decomposition vector')plot(C);title('C - wavelet decomposition vector')

figure;figure; plot(L);title('L - bookkeeping vector')plot(L);title('L - bookkeeping vector')

Pin diagram

PIC16F73 DEVICE FEATURES

PIC16F73 BLOCK DIAGRAM