Instrumentation 2 Flashcards
What do ADCs do
Convert continuous analog signal to digital signal
Describe the process of sampling
Digitising analogue signals into a series of discrete scales/readings
What is sampling time
The time between each sample/reading when you are converting analogue to digital signal
When converting analogue to digital signal, what would be the change to the amount of information you have/accuracy of the conversion if the sampling time was small
If the sampling time is small this means that when converting to digital, you are taking lots of samples (you will have more information/curve will be more accurate).
What is the equation for sampling frequency
Fs = 1/sampling time (Ts)
Digital signals have a minimum voltage change they can detect - true or false
True - digital signals have finite resolution (unlike continuous signals which have an infinite range).
What number system does digital system use
Binary
What is the equation for how many voltage steps a ADC can detect
N = 2^M
N - number of voltage steps a ADC can detect
M = number of bits in the ADC
How do you know how many bits are in a digital wave
By looking at the numbers on the Y axis and seeing how many values there are (i.e 10 = 2, 100 = 3)
What is the equation for the minimum voltage change an ADC can convert
ΔV = Vref / N
V ref - maximum voltage change the ADC can measure
N = number of voltage steps the ADC can detect
What is V ref in regards to ADC
maximum voltage change the ADC can detect
How do you find the V ref when looking at a ADC wave graph
This will be the highest number on the Y axis
What two things is the accuracy of the ADC dependant on
Sample frequency and resolution (number of bits)
What must the sampling rate be of ADC in order to capture all the frequencies in the wave
The sampling rate must be 2 times larger then the largest frequency in the wave
Fs > 2B
What does it mean for a signal to be ‘completely determined’ in ADC
A signal can be classified ‘completely determined’ is there is no frequencies in the signal that are higher then the bandwidth of the signal (B)
This doesn’t mean that the samples alone are the full signal, it means that we can get the full signal back from the conversion if we need too (because we haven’t lost any frequencies).
What must the ADC sampling rate be is the analogue maximum frequency is 500Hz
Sampling rate must at least be 1000Hz
How can analogue filters be used to help in ADC
They can be used before digitisation to ensure the input analogue signal doesn’t contain frequencies above the Nyquist limit (if there were signals above the Nyquist limit then these wouldn’t be able to be digitalised by the ADC)
When are digital filters used in a circuit
These are used after an analogue signal is digitised to remove any irrelevant parts of the signal
What is the usual pass band of a filter used in ECG
150Hz
What is the ideal frequency response for a unity gain buffer
Gain of 1 or 0dB
What is the corner frequency
This is the point when the attenuation of a signal is 3dB
Explain how you would draw a high pass filter
Axis: Y axis Gain, X aixs Frequency (Hz)
The ‘stop band’ will begin at low numbers, have a transition period beginning with the ‘transition band’ then will plateau off creating the ‘pass band’ at higher numbers after the ‘corner frequency’
Explain how you would draw a low pass filter
Axis: Y axis Gain , X aixs Frequency (Hz)
The ‘pass band’ will begin at high numbers, have a transition period beginning with the ‘corner frequency’ then will plateau off creating the ‘stop band’ at lower numbers after the ‘stop band’
Explain how you would draw a band pass filter
This will look like a mountain
Axis: y axis = Gain. X axis = frequency (Hz)
The ‘pass band’ will be at the peak of the mountain.
Explain how you would draw a notch filter
This will look like a deep crypt
Axis: y axis = Gain. x axis = frequency (Hz)
The stop band will be at the opening of the crypt. Frequencies on either side of the stop band will be able to pass through the filter
What sort of filter is used in power supplies to remove the 50Hz AC frequency
Notch filter
What many coefficients/taps does the FIR filter have
n+1
e.g 5th order FIR has 6 taps/coefficents
How is the output calculated in FIR filters
Multiplying the latest and n previous values of the input signal
e.g for a 4th order FIR filter: you multiply the most previous input by the 4 most previous inputs (5 number multiplying in total)
How is the output calculated in a IIR filter
multiplying the latest and n previous values of the input signal (same as FIR) AND multiplying the n precious values by their corresponding coefficient
What filters, FIR or IIR contains feedback loops and what can this result in the stability of the filter
IIR contains feedback loops and this can result in it being unstable if it is not designed properly
How many inputs and outputs does a IIR filter have
n + 1 input coefficent
n output coefficents
If you put a single 1 surrounded by zeros into a FIR and IIR filter respectively, what would be the output
FIR - the output would be finite (usually 0)
IIR - output would be infinate due to feedback
What is phase response in a filter
The amount by which a signal component of different frequencies are shifted in phase at the output of the filter, compared to the input
Why is phase delay not ideal
Differing phase responses at different frequencies can distort the signal
What is the ideal shape of the phase delay in a filter
Linear - this will mean all frequency components are shifted in time by the same amount such that the relationship that existed across frequencies at the input of the filter remain the same at the output
What filter, FIR or IIR has a linear phase response
FIR
What is the group delay of a filter and where on the filter graph is this found
This is the slope of the phase response (steepness of the line) and this corresponds to the absolute time delay of the signal thorugh the filter
What will the phase delay be on FIR filters that have symmetric coefficients
Phase delay will be linear
What is pass band ripple
The measure of how flat the amplitude of the frequency response is in the pass band of the filter
FIR filters with symmetric coefficients have what type of group delay
Constant group delay
What is the equation for group delay in FIR filter
FIR group delay = (n taps - 1) / 2fs
Fs = sampling frequency
What Law/Equations covers the basics of fluid dynamics
Ohms law
P = QR
What two factors is blood flow in the arteries dependant on
The energy needed to drive the blood
The resistance to the flow present
A rise in blood flow is defined by what three energies
Pressure energy
Kinetic energy
Gravitational energy
What is the relative velocities of laminar and turbulent flow
Laminar flow - consistent
Turbulent flow - fluctuations in velocity
In regards to the Reynolds number, when does laminar flow occur
Laminar flow occurs when the velocity is below the Reynolds number
What is the Reynolds number and how is it calculated
Predicts the flow patterns under different conditions
Re = inertia/viscious
What is the equations for flow
F = velocity x cross-sectional area
What are Newtonian fluids
Newtonian fluids are a category of fluids that have a constant viscosity regardless of the shear rate or the force applied to them.
What law do Newtonian fluids follow
Newtons Law of viscocity
τ=η⋅ (dy/du)
T = shear stress applied to the fluid
n = viscosity of fluid
du/dy = shear rate
What is the result on the flow and viscosity of a Newtonian fluid when it is subjected to different forces/stresses
This means their flow behavior or viscosity does not change when subjected to different forces or stresses.
What does the Youngs Modulus explain
The ratio between stress and strain used to express the elasticity of a fluid
(how easily can a fluid stretch and compress)
What is the equation for Youngs Modulus
E= σ/ϵ
𝐸= Young’s modulus,
σ is stress,
ϵ is strain.
What is shear stress
Forces that act parallel to the surface of the material
What is shear strain
force acting on material when subjected to movement
In non-Newtonian fluids what occurs to the viscosity when it experiences shear stress and strain
Viscocity changes (unlike Newtonian fluids)
What type of fluid is blood
Pseudoplastic
What would be the relathionship of shear stress and shear rate of an ideal fluid
Shear stress and shear rate would be directly proportional (linear)
What is a pseudoplastic fluid
A pseudoplastic fluid is a type of non-Newtonian fluid characterized by a decrease in viscosity as the shear rate increases.
What is a dilatant fluid
A dilatant fluid is a type of non-Newtonian fluid characterized by an increase in viscosity as the shear rate increases.
What are the four characteristics of an ideal fluid
Zero viscosity
Incompressible
Infinite bulk modulus
No surface tension
What is the equation for velocity under pulsatile flow
c = √Eh/pd
What does LaPlace wall tension tell us
The pressure applied onto the wall is directly proportional to the tensional stress and inversely proportional to the radius of the wall
According to LaPlace wall tension, how much pressure can be applied to small vessels
A lot - the smaller the vessel, the larger the pressure that can be applied to it
What is critical radius of arteries
This is the point at which arteries have expanded so much that they become unstable
How would you estimate the critical radius of an artery
The critical radius is usually 2 times the original internal diameter of the artery
How foes flow spilt when it gets to a bifurcation
Q = Q1 + Q2
What two forces does flow experience when it flows along a bend
Viscous force
Centrifugal force
What does Bernoulli equation tell us
The equation states that the total mechanical energy of the fluid remains constant if the flow is steady and frictionless (non-viscous)
What 5 things must we assume for Bernoulli’s equation to be applicable
Flow must be stead
Fluid my be incompressible
Viscosity must be negligible
Flow must be uniform
Flow must be irrotational
What law explains the flow incompressible and Newtonian fluids (laminar flow)
Poiseuille’s equation
What are the two forces involved in the elastic recoil of the lung
Tissue forces from stretching (elastic elements)
Surface forces (surface tension)
What is transpulmonary pressure
The difference between the pressure inside the lung (alveolar pressure) and the pressure outside the lung (pleural pressure)
What is elastance
The resistance to change in shape when mechnical load is applied
What law describes movement of gas in the respiratory system
Ficks Law of diffusion
What is the equations for Ficks Law of diffusion
V = DAP/T
V = volume of gas
D = diffusion cooefficent
A - surface area
P = pressure gradient
T = thickness of barrier
What are some factors that affect diffusion of gas
Area of membrane
Thickness of membrane
Solubility of gas
Molecular weight of gas
Pressure difference
What are the two factors that make an ideal gas
Does not attract or repel each other
Takes up no space (has no volume)
How many gases are ideal gases
No gas is truly ideal
What equation can we use to provide a good approximation of real gas behaviour
PV = nRT
n = number of moles
R = universal gas constant
T = temperature in kelvins
Avogadro’s Law describes what
Equal volumes of gases at the same temperature and pressure contain the same number of molecules