Digital & Analog Electronics, Lecture notes of Digital & Analog Electronics

Download Digital & Analog Electronics and more Lecture notes Digital & Analog Electronics in PDF only on Docsity! ECG Instrumentation In order to record the ECG, we need a transducer capable of converting the ionic potentials generated within the body into electronic potentials which can be measured by conventional electronic instrumentation. Such a transducer consists of a pair of electrodes, which measure the ionic potential difference between their respective points of application on the body surface. Electrodes may be classified either as polarisable, in which case they behave as capacitors, or non−polarisable, in which case they behave as resistors. Common electrodes have characteristics that lie between these extremes; the silver−silver chloride electrode discussed below approximates more closely to a non−polarisable electrode. Equivalent circuit of a system for recording the ECG Electrode placement The most obvious way to record the ECG is between the Right Arm (RA) and the Left Arm (LA) although another two combinations using the Left Leg (LL) are also used clinically (RA−LL and LA−LL). Figure 9 summarises this. Another electrode is also used to connect the patient to the common ground of the instrumentation. Usually, this ground electrode is attached to the right leg. Silver−silver chloride electrode Electrodes for recording biopotentials are composed of a metal (usually silver for ECG measurement), and a salt of the metal (usually silver chloride). In addition, some form of electrode paste or jelly is applied between the electrode (normally a flat silver disc) and the skin. The combination of the ionic electrode paste and the silver metal of the electrode forms a local solution of the metal in the paste at the electrode−skin interface (also referred to as the electrode−tissue or electrode−electrolyte interface). Hence, some of the silver dissolves into solution producing Ag+ ions:
      
      
   
    
   
       
    VI = (potential at LA) − (potential at RA) VII = (potential at LL) − (potential at RA) VIII = (potential at LL) − (potential at LA) Figure 9: Typical electrode placement Ag  Ag  e ! Ionic equilibrium takes place when the electric field set up by the dissolving ions is balanced by the forces of the concentration gradient. At this point, there is a monomolecular layer of Ag+ ions at the surface of the electrode and a corresponding layer of Cl− ions adjacent to this. This combination is called the electrode double layer and there is a potential drop E across this layer, called the half−cell potential (0.8V in the case of the Ag−AgCl electrode). Equivalent circuit of electrode interface The double layer of charges of opposite sign separated by a dialectric constitutes a form a capacitance, say C. However, since the Ag−AgCl electrode behaves mostly as a non− polarisable electrode, the main component of the impedance is resistive, say R1. The series model in Figure 10 needs to be modified to account for the fact that the impedance does not increase to infinity as the frequency tends to zero. This is done by adding a parallel resistance R2 (as shown in Figure 11) which accounts for the electrochemical processes taking place at the electrode−electrolyte interface. The values of R1, R2 and C depend on the electrode area, surface condition, current density and the type and concentration of electrode paste used. (Typical values are R1 = 2kΩ, R2=10kΩ and C=10µF.) Movement artefact If the electrode is moved with respect to the elctrolyte, this mechanically disturbs the distribution of charge at the interface and results in a momentary change of the half−cell potential until equilibrium can be re−established. If a pair of electrodes are in contact with an electrolyte and one moves while the other remains stationary, a potential difference appears between the two during this motion. This potential is referred to as moverment artefact and can be a serious cause of interference in the measurement of ECG (or any other biopotential). Overall equivalent circuit Using the simple model of the electrode−electrolyte interface of Figure 11 as well as the even simpler model previously developed for the electrical activity of the heart, we can put together an equivalent circuit which models the impedance seen by the input stage of an ECG system. This overall equivalent circuit is shown in Figure 12. Although C and C’, R1 and R1’, R2 and R2’ may not be exactly equal (different sites and modes of application on the skin), E should be equal to E’ (same type of electrode). Hence V
      
      
   
    
   
       
     Figure 10: Simple R−C model of electrode−electrolyte interface Figure 11: Equivalent circuit of the Ag−AgCl interface Electrode Body electrolytes C ER1 R1 Electrode Body electrolytes E C R2 ie the CMRR of the output stage multiplied by the differential gain of the input stage (since Acm1 = 1). Second problem − magnetic induction Current in magnetic fields induces voltage into the loop formed by the patient leads. The induced voltage is proportional to the field strength and the coil area. Reducing this interference requires that the field strength be reduced by moving the equipment and leads (difficult to do in practice) or that the coil area be reduced by twisting the lead wires together all along their length. Third problem − source impedance unbalance If there is a severe unbalance in the electrode−skin interface impedances (also known as the contact impedance), the body’s common−mode potential will be higher at one input than at the other. Hence a fraction of the common−mode voltage will be seen as a differential voltage and will be amplified by the differential gain of the amplifier (see question on the problem sheet). Hence the output voltage from the differential amplifier consists of 3 components: % The desired output due to amplification of the differential ECG signal. % An unwanted component of the common−mode signal due to the fact that the common− mode rejection is not infinite. % An unwanted component of the common−mode signal due to source impedance unbalance.
      
      
   
    
   
       
 &    Modification to conventional ECG system Driven right−leg circuitry In modern ECG recording systems, the patient is often not grounded. Instead, the right leg electrode is connected as shown in Figure 14 to the output of an auxiliary op−amp. The common−mode voltage on the body is sensed by two averaging resistors Ra, inverted and fed back to the right leg through R0. This circuit actually drives a very small amount of current (less than 1 µA) into the right leg to equal the displacement currents flowing in the body. The body therefore becomes a summing junction in a feedback loop and the negative feedback from this circuit drives the common−mode voltage to a low value. The circuit also helps to increase the patient’s safety. If an abnormally high voltage should appear between the patient and ground due to electrical leakage or other means, the auxiliary op−amp in the right leg circuit saturates. This effectively ungrounds the patient since the amplifier can no longer drive the right leg. The resistance R0 between the patient and ground is usually several MΩ and is therefore large enough to protect the patient. With a 5 MΩ resistor, for examples, and a supply voltage of 10 V, the amplifier will saturate at a current of approximately 2 µA.
      
      
   
    
   
       
     Figure 14: Driven right−leg circuit R1 R2 R2 Ra Ra R0 LA RA RL Use of ECG for Diagnostic Purposes As has already been mentioned, diagnostic information can be obtained from the ECG waveform, by analysis of the amplitude and relative timing of the various segments. In general, cardiac muscle damage, or infarcts, are correlated with loss of amplitude. Abnormal heart rates (arrhythmias) can be observed and treated; for examples slow rhythms (bradycardia) can be treated with stimulants or a pacemaker whilst in the case of fast rhythms (tachycardia) depressants can be prescribed. Ectopic beats are beats which originate from a region of the heart other than the SA node. An ectopic beat in the ventricle causes an extra R−wave, indicative of a premature ventricular contraction (PVC). These abnormal conditions are usually identified by one of two means: % Ambulatory monitoring for up to 24 hours of patients who have been identified as being at risk of heart attacks. Data compression techniques (eg beat−to−beat interval histograms) are often used although advances in memory technology is reducing the need for these. % Exercise stress ECGs in which the patient is taken close to maximum heart rate by exercising, for example on a tread mill. Changes in the ECG waveform during this process give the cardiologist indications as to the efficiency and capacity of the heart’s pumping action. PVCs may only occur when the body is under physical stress, as this makes demands for higher cardiac output. Exercise testing can also be used to assess the effectiveness of therapeutic and surgical treatments. A more specialised application of ECG analysis is the detection of foetal distress prior to and during labour. An additional problem here is the separation of the maternal and foetal ECGs (adaptive filtering techniques are usually required in addition to careful positioning of the ecletrodes). Although foetal monitoring may add complexity to the (already stressful) process of giving birth, the timing of dips in the foetal heart rate in relation to contractions in the mother is known to be an indicator of foetal distress. Similarly, changes in the shape of the S−T segment may give an indication of low oxygen supply to the foetus (foetal hypoxia). Other research has concentrated on monitoring foetal heart rate variability, low variabilities having also been shown to correlate with foetal distress (a high degree of variability would seem to indicate that the foetus’ thermoregulatory control processes are working properly). All the above applications involve the analysis of the ECG waveform and the extraction of various features of the waveform. In each case, the heart rate provides information of value and needs to be calculated. There are two types of heart rate meters (also known as cardiotachometers): % the averaging heart rate meter which calculates the average heart rate from a count or estimate of the number of beats over a period of time. % the beat−to−beat heart rate meter which computes the reciprocal of the time interval between two consecutive heart beats and updates the information with each heart beat. Heart rate meters The easiest way to obtain the heart rate (usually given as beats per minute) is to count some identifying feature of the ECG. It should be obvious by now that the most easily distinguished feature of the ECG is the QRS complex, which is a sharp spike. There are 3 main problems in detecting the QRS complex: % artefacts due to electrode motion (as shown in Figure 15)