Question 1 of 86System Modelling
A transfer function is defined as the ratio of the Laplace transform of the output to that of the input:
AWith arbitrary initial conditions
BOnly in the steady state
CWith all initial conditions assumed zero
DOnly for non-linear systems
Answer is hidden
Question 2 of 86System Modelling
A linear time-invariant system is stable if and only if all its poles lie:
AIn the right half of the s-plane
BOn the imaginary axis
CAt the origin
DIn the left half of the s-plane
Answer is hidden
Question 3 of 86System Modelling
The characteristic equation of a system is obtained by:
ASetting the numerator to zero
BSetting the denominator of the transfer function to zero
CTaking the inverse Laplace transform
DDifferentiating the transfer function
Answer is hidden
Question 4 of 86System Modelling
The step response of a first-order system reaches what percentage of its final value in one time constant?
Answer is hidden
Question 5 of 86System Modelling
Two blocks with transfer functions G1 and G2 connected in cascade have an overall transfer function of:
AG1 divided by G2
BG1 plus G2
CG1 times G2
DG1 divided by (1 + G1 G2)
Answer is hidden
Question 6 of 86System Modelling
The closed-loop transfer function of a system with forward gain G and negative feedback H is:
AGH divided by (1 + G)
BG times H
CG divided by (1 + GH)
DG divided by (1 - GH)
Answer is hidden
Question 7 of 86System Modelling
In the state-space representation, the number of state variables equals the:
ANumber of outputs
BOrder of the system
CNumber of inputs
DNumber of zeros
Answer is hidden
Question 8 of 86System Modelling
The standard state equation of a linear system is written as:
Ax dot equals Ax plus Bu
Bx equals Au plus Bx
Cy equals Cx plus Du only
Dx dot equals Cx plus Du
Answer is hidden
Question 9 of 86System Modelling
The poles of a system described in state space are the:
AElements of the B matrix
BDiagonal elements of D
CColumns of the C matrix
DEigenvalues of the A matrix
Answer is hidden
Question 10 of 86System Modelling
A principal advantage of the state-space approach over the transfer function approach is that it:
AAvoids the need for differential equations
BHandles multiple inputs and outputs and non-zero initial conditions
CApplies only to first-order systems
DRequires no matrices
Answer is hidden
Question 11 of 86System Modelling
The final value theorem allows the steady-state value of a response to be found by:
ATaking the inverse transform first
BEvaluating the limit of s times F(s) as s tends to zero
CSetting s equal to infinity
DDifferentiating F(s)
Answer is hidden
Question 12 of 86System Modelling
Which is a correct example of open-loop control?
AA thermostat controlling room temperature
BAn infusion pump delivering a fixed rate regardless of the patient's response
CA closed-loop insulin system driven by glucose measurement
DA ventilator adjusting pressure from measured tidal volume
Answer is hidden
Question 13 of 86System Modelling
Compartmental pharmacokinetic models used in target-controlled infusion are an application of:
ABode plot analysis only
BAmplitude modulation
CState-space modelling of a physiological system
DThe Nyquist sampling theorem
Answer is hidden
Question 14 of 86Mechanical Components: Mass, Spring and Damper
In a mechanical system, the force developed by a damper is proportional to:
AAcceleration
BJerk
CVelocity
DDisplacement
Answer is hidden
Question 15 of 86Mechanical Components: Mass, Spring and Damper
Two springs of stiffness k1 and k2 connected in parallel have an equivalent stiffness of:
Ak1 + k2
BThe smaller of the two
C1 over (k1 + k2)
Dk1 k2 divided by (k1 + k2)
Answer is hidden
Question 16 of 86Mechanical Components: Mass, Spring and Damper
The natural frequency of a mass-spring system is given by:
Ab divided by 2 root km
BThe square root of m divided by k
Ck divided by m
DThe square root of k divided by m
Answer is hidden
Question 17 of 86Mechanical Components: Mass, Spring and Damper
For the standard second-order system, the damping ratio is expressed as:
Ab over m
Bb divided by twice the square root of km
Ckm over b
Droot of k over m
Answer is hidden
Question 18 of 86Mechanical Components: Mass, Spring and Damper
A second-order system with a damping ratio of 0.5 will show a step response that is:
AOverdamped and sluggish
BCritically damped with no overshoot
CUnderdamped, overshooting and oscillating before settling
DUndamped with sustained oscillation
Answer is hidden
Question 19 of 86Mechanical Components: Mass, Spring and Damper
Critical damping is defined as the condition giving:
AThe fastest response regardless of overshoot
BSustained oscillation
CThe fastest response without any overshoot
DThe slowest possible response
Answer is hidden
Question 20 of 86Mechanical Components: Mass, Spring and Damper
Measuring instruments are usually designed with a damping ratio of about 0.6 to 0.7 because this gives:
AThe fastest response consistent with only a small overshoot and the flattest frequency response
BMaximum overshoot
CSustained oscillation for calibration
DZero overshoot with the slowest response
Answer is hidden
Question 21 of 86Mechanical Components: Mass, Spring and Damper
An arterial pressure monitoring line containing air bubbles becomes over-damped, which will:
AIncrease the natural frequency
BHave no effect on the reading
CCause resonance and overestimate systolic pressure
DBlunt the waveform and underestimate the systolic pressure
Answer is hidden
Question 22 of 86Mechanical Components: Mass, Spring and Damper
In the force-voltage analogy, mass is analogous to:
AInductance
BConductance
CCapacitance
DResistance
Answer is hidden
Question 23 of 86Mechanical Components: Mass, Spring and Damper
In the force-voltage analogy, the damper is analogous to:
ACapacitance
BResistance
CA voltage source
DInductance
Answer is hidden
Question 24 of 86Mechanical Components: Mass, Spring and Damper
The Windkessel model of the arterial system represents the arterial tree as:
AA mass-spring system with no damping
BA resistance and capacitance network
CA pure inductance
DA digital filter
Answer is hidden
Question 25 of 86Mechanical Components: Mass, Spring and Damper
A spring and damper connected in series constitutes which viscoelastic model?
AThe Kelvin-Voigt model
BThe standard linear solid
CThe Maxwell model
DThe Hookean model
Answer is hidden
Question 26 of 86Mechanical Components: Mass, Spring and Damper
Which element of a mechanical system stores potential energy?
AThe damper
BThe mass
CThe spring
DThe applied force
Answer is hidden
Question 27 of 86Linearized Approximations, Bode Plots and PID Control
Linearization of a non-linear system produces a model that is valid:
AOnly for small deviations about the chosen operating point
BOnly in the steady state
COver the entire operating range
DOnly for first-order systems
Answer is hidden
Question 28 of 86Linearized Approximations, Bode Plots and PID Control
The frequency response of a system is obtained from its transfer function by substituting:
As = sigma
Bs = infinity
Cs = j omega
Ds = 0
Answer is hidden
Question 29 of 86Linearized Approximations, Bode Plots and PID Control
On a Bode magnitude plot, a single pole contributes an asymptotic slope of:
A-20 dB per decade
B0 dB per decade
C-40 dB per decade
D+20 dB per decade
Answer is hidden
Question 30 of 86Linearized Approximations, Bode Plots and PID Control
At the corner frequency of a simple pole, the actual magnitude differs from the asymptote by:
Answer is hidden
Question 31 of 86Linearized Approximations, Bode Plots and PID Control
Increasing the gain K of a system shifts the Bode magnitude plot upward and:
AReverses the phase plot
BDoubles the corner frequency
CShifts the phase plot upward as well
DLeaves the phase plot entirely unchanged
Answer is hidden
Question 32 of 86Linearized Approximations, Bode Plots and PID Control
Increasing the time constant of a first-order system will:
ALeave the bandwidth unchanged
BLower the corner frequency and slow the response
CRaise the corner frequency and speed the response
DIntroduce a resonant peak
Answer is hidden
Question 33 of 86Linearized Approximations, Bode Plots and PID Control
The phase margin of a system is measured at the frequency where the:
AMagnitude is 0 dB
BMagnitude is minus 3 dB
CPhase is minus 180 degrees
DPhase is zero
Answer is hidden
Question 34 of 86Linearized Approximations, Bode Plots and PID Control
An integrator (1/s) contributes a constant phase shift of:
A-90 degrees
B+90 degrees
C-45 degrees
D-180 degrees
Answer is hidden
Question 35 of 86Linearized Approximations, Bode Plots and PID Control
Which control action can completely eliminate steady-state error?
AIntegral
BProportional
CNone of them
DDerivative
Answer is hidden
Question 36 of 86Linearized Approximations, Bode Plots and PID Control
The principal disadvantage of derivative control action is that it:
ASlows the response
BIntroduces steady-state error
CAmplifies high-frequency noise
DCannot be implemented electronically
Answer is hidden
Question 37 of 86Linearized Approximations, Bode Plots and PID Control
A patient monitor controller shows persistent offset from the setpoint despite a stable response. Which term should be added?
AMore proportional gain alone
BA notch filter
CIntegral
DDerivative
Answer is hidden
Question 38 of 86Linearized Approximations, Bode Plots and PID Control
Integral wind-up occurs when:
AThe setpoint is constant
BThe sensor is disconnected
CThe derivative gain is too high
DThe actuator saturates while the integral term continues to accumulate
Answer is hidden
Question 39 of 86Linearized Approximations, Bode Plots and PID Control
The Ziegler-Nichols closed-loop tuning method determines controller settings from:
AThe number of poles
BThe ultimate gain and the period of sustained oscillation
CThe Bode phase margin alone
DThe open-circuit voltage and short-circuit current
Answer is hidden
Question 40 of 86Communication Systems: Transmitters, Channels and Receivers
The principal advantage of digital over analogue communication is that:
AThe signal can be regenerated at each repeater, so noise does not accumulate
BIt requires less bandwidth
CIt needs no conversion at either end
DIt is immune to all interference
Answer is hidden
Question 41 of 86Communication Systems: Transmitters, Channels and Receivers
According to the Shannon-Hartley theorem, channel capacity increases:
AExponentially with bandwidth
BIndependently of bandwidth
CLinearly with bandwidth but only logarithmically with signal-to-noise ratio
DLinearly with signal-to-noise ratio
Answer is hidden
Question 42 of 86Communication Systems: Transmitters, Channels and Receivers
Optical fibre is particularly valuable for carrying signals across a patient isolation barrier because it:
AProvides complete electrical isolation and immunity to interference
BHas the lowest cost
CCarries power as well as data
DRequires no transducers
Answer is hidden
Question 43 of 86Communication Systems: Transmitters, Channels and Receivers
In a superheterodyne receiver, all the gain and selectivity are provided at:
AA fixed intermediate frequency
BThe audio frequency
CThe incoming radio frequency
DThe local oscillator frequency
Answer is hidden
Question 44 of 86Communication Systems: Transmitters, Channels and Receivers
In a superheterodyne receiver, the local oscillator is:
ATuned in step with the RF stage so that the difference frequency remains constant
BFixed at 455 kHz
CNot required at all
DTuned independently by the user
Answer is hidden
Question 45 of 86Communication Systems: Transmitters, Channels and Receivers
The standard intermediate frequency for broadcast AM receivers is:
A1 kHz
B455 kHz
C10.7 MHz
D88 MHz
Answer is hidden
Question 46 of 86Communication Systems: Transmitters, Channels and Receivers
The image frequency in a superheterodyne receiver lies at the signal frequency plus:
AThe intermediate frequency
BTwice the intermediate frequency
CHalf the intermediate frequency
DThe local oscillator frequency
Answer is hidden
Question 47 of 86Communication Systems: Transmitters, Channels and Receivers
Image frequency rejection in a superheterodyne receiver is improved by:
AIncreasing the audio gain
BRemoving the RF amplifier
CLowering the intermediate frequency
DUsing a higher intermediate frequency and a selective RF preselector
Answer is hidden
Question 48 of 86Communication Systems: Transmitters, Channels and Receivers
The function of a limiter in an FM receiver is to:
ARemove amplitude variations before demodulation
BLimit the audio output volume
CReduce the intermediate frequency
DRestrict the tuning range
Answer is hidden
Question 49 of 86Communication Systems: Transmitters, Channels and Receivers
The main drawback of a tuned radio frequency receiver compared with a superheterodyne is its:
AExcessive selectivity
BRequirement for a local oscillator
CPoor and variable selectivity across the tuning range
DInability to demodulate
Answer is hidden
Question 50 of 86Communication Systems: Transmitters, Channels and Receivers
Phase distortion in a transmission channel is important for biomedical signals because it:
AAdds a constant offset
BDelays different frequency components unequally, altering the waveform shape
CGenerates harmonics
DReduces the signal amplitude only
Answer is hidden
Question 51 of 86Communication Systems: Transmitters, Channels and Receivers
A class C amplifier is commonly used in the output stage of a transmitter because it:
AProduces no distortion
BOffers very high efficiency when used with a tuned load
CWorks without a power supply
DOperates at audio frequencies
Answer is hidden
Question 52 of 86Communication Systems: Transmitters, Channels and Receivers
The sensitivity of a receiver is limited principally by:
AThe power supply voltage
BThe audio amplifier gain
CThe noise generated in its own early stages
DThe size of the loudspeaker
Answer is hidden
Question 53 of 86Modulation, Distortion, Noise and Interference
The principal reason for modulating a low-frequency signal onto a high-frequency carrier is:
ATo reduce the transmitted power
BTo eliminate all noise
CTo permit an antenna of practical size
DTo reduce the bandwidth required
Answer is hidden
Question 54 of 86Modulation, Distortion, Noise and Interference
An amplitude-modulated wave has a maximum envelope of 12 V and a minimum of 4 V. The modulation index is:
Answer is hidden
Question 55 of 86Modulation, Distortion, Noise and Interference
If an AM transmitter is over-modulated so that m exceeds 1, the result is:
AA narrower bandwidth
BConversion to frequency modulation
CEnvelope clipping with severe distortion and spurious sidebands
DImproved efficiency
Answer is hidden
Question 56 of 86Modulation, Distortion, Noise and Interference
The bandwidth of an AM signal modulated by a 5 kHz tone is:
A20 kHz
B10 kHz
C5 kHz
D2.5 kHz
Answer is hidden
Question 57 of 86Modulation, Distortion, Noise and Interference
At 100 per cent modulation, the proportion of total AM transmitted power carried in the sidebands is:
AOne third
BOne half
CAll of it
DTwo thirds
Answer is hidden
Question 58 of 86Modulation, Distortion, Noise and Interference
In frequency modulation, the frequency deviation is proportional to the:
AFrequency of the modulating signal
BAmplitude of the modulating signal
CCarrier frequency
DCarrier amplitude
Answer is hidden
Question 59 of 86Modulation, Distortion, Noise and Interference
Carson's rule states that the bandwidth of an FM signal is approximately:
AIndependent of the deviation
BTwice the modulating frequency only
CEqual to the deviation
DTwice the sum of the deviation and the highest modulating frequency
Answer is hidden
Question 60 of 86Modulation, Distortion, Noise and Interference
The total transmitted power of a frequency-modulated signal:
ARemains constant regardless of the modulation index
BFalls to zero at 100 per cent modulation
CDepends on the modulating frequency
DIncreases with the modulation index
Answer is hidden
Question 61 of 86Modulation, Distortion, Noise and Interference
FM is less susceptible to noise than AM principally because:
AIt transmits more power
BIt uses less bandwidth
CIt uses a lower carrier frequency
DInformation is carried in frequency, so amplitude variations can be removed by a limiter
Answer is hidden
Question 62 of 86Modulation, Distortion, Noise and Interference
The capture effect in an FM receiver refers to its tendency to:
ALock onto the stronger of two signals and suppress the weaker
BCapture noise from the antenna
CRetain the last tuned station
DDouble the audio output
Answer is hidden
Question 63 of 86Modulation, Distortion, Noise and Interference
Which of the following is a form of distortion rather than noise?
AThermal agitation of electrons in a resistor
BShot noise in a semiconductor junction
CUnequal delay of different frequency components by the channel
DCosmic background radiation
Answer is hidden
Question 64 of 86Modulation, Distortion, Noise and Interference
Thermal (Johnson) noise voltage in a resistor is proportional to the square root of:
AThe frequency squared
BThe current through it
C4kTBR
DThe resistance alone
Answer is hidden
Question 65 of 86Modulation, Distortion, Noise and Interference
Averaging 100 repeated evoked potential sweeps improves the signal-to-noise ratio by a factor of:
Answer is hidden
Question 66 of 86Nyquist Sampling Theory
The Nyquist sampling theorem states that a band-limited signal can be exactly reconstructed if it is sampled at a rate:
AEqual to the highest frequency present
BTen times the highest frequency present
CGreater than twice the highest frequency present
DGreater than the highest frequency present
Answer is hidden
Question 67 of 86Nyquist Sampling Theory
The spectrum of a sampled signal consists of:
AA single copy of the original spectrum
BThe original spectrum repeated at every multiple of the sampling frequency
COnly the baseband component
DA flat spectrum at all frequencies
Answer is hidden
Question 68 of 86Nyquist Sampling Theory
A 600 Hz signal component is sampled at 1,000 Hz. It will appear in the sampled data as:
A600 Hz
B1,600 Hz
C200 Hz
D400 Hz
Answer is hidden
Question 69 of 86Nyquist Sampling Theory
The essential problem with aliasing is that it:
AReduces the signal amplitude only
BAffects only the highest frequency
CAdds a constant offset
DCannot be corrected after sampling by any amount of processing
Answer is hidden
Question 70 of 86Nyquist Sampling Theory
An anti-aliasing filter must be placed:
AAfter the reconstruction filter
BBefore the sampler, with a cut-off below half the sampling frequency
CIn the display circuit
DAfter the analogue-to-digital converter
Answer is hidden
Question 71 of 86Nyquist Sampling Theory
The Nyquist frequency is defined as:
AThe sampling frequency itself
BTwice the highest signal frequency
CHalf the sampling frequency
DThe highest signal frequency
Answer is hidden
Question 72 of 86Nyquist Sampling Theory
The purpose of a sample-and-hold circuit before an analogue-to-digital converter is to:
AAmplify the signal
BIncrease the resolution
CKeep the input constant during the conversion time
DRemove aliasing
Answer is hidden
Question 73 of 86Nyquist Sampling Theory
A 12-bit analogue-to-digital converter provides how many quantisation levels?
Answer is hidden
Question 74 of 86Nyquist Sampling Theory
Each additional bit of resolution in an analogue-to-digital converter improves the signal-to-noise ratio by approximately:
Answer is hidden
Question 75 of 86Nyquist Sampling Theory
A diagnostic ECG containing components up to 150 Hz should be sampled at a rate of at least:
A50 Hz
B75 Hz
C150 Hz
D300 Hz, and in practice 500 to 1,000 Hz
Answer is hidden
Question 76 of 86Nyquist Sampling Theory
If an ECG is sampled at too low a rate without adequate filtering, muscle artefact and mains interference will:
ABe automatically rejected
BAlias into the ECG band where they cannot be removed and may mimic pathology
CCancel each other out
DAppear only above the Nyquist frequency
Answer is hidden
Question 77 of 86Nyquist Sampling Theory
Oversampling followed by digital filtering and decimation is used because it:
AEliminates quantisation noise entirely
BRemoves the need for any filter
CReduces the number of bits required
DRelaxes the requirements on the analogue anti-aliasing filter
Answer is hidden
Question 78 of 86Nyquist Sampling Theory
Bandpass (undersampling) is a technique in which a signal is sampled:
AAbove ten times its highest frequency
BBelow twice its highest frequency but above twice its bandwidth, using aliasing deliberately
CWithout any filter
DOnly in the time domain
Answer is hidden
Question 79 of 86Information Theory & Signals
The Fourier Transform is used to:
AConvert a signal from the time domain to the frequency domain
BConvert a signal from the frequency domain to the time domain
CCompress digital signals
DEncrypt data transmissions
Answer is hidden
Question 80 of 86Information Theory & Signals
When a square wave is applied to an integrator op-amp circuit, the output is:
ASquare wave
BSine wave
CTriangle wave
DSawtooth wave
Answer is hidden
Question 81 of 86Information Theory & Signals
The Z-transform is primarily used for:
AAnalysing continuous-time signals
BAnalysing discrete-time signals and systems
CImage compression
DFrequency modulation
Answer is hidden
Question 82 of 86Information Theory & Signals
Interleaving in digital communications provides what type of diversity?
ATime diversity
BFrequency diversity
CSpace diversity
DPolarization diversity
Answer is hidden
Question 83 of 86Information Theory & Signals
In FDM, increasing the modulation index results in:
ADecreased bandwidth requirements
BIncreased bandwidth requirements
CNo change in bandwidth
DIncreased signal-to-noise ratio without bandwidth change
Answer is hidden
Question 84 of 86Information Theory & Signals
Adding zeros to the end of a discrete signal before taking its DFT is called:
AZero Padding
BWindowing
CDecimation
DInterpolation
Answer is hidden
Question 85 of 86Information Theory & Signals
In TDM (Time Division Multiplexing), the component essential for recovering individual channels at the receiver is:
AEqualizer
BFrame synchronization
CBandwidth filter
DDemodulator
Answer is hidden
Question 86 of 86Information Theory & Signals
In a common-collector (emitter follower) BJT amplifier, the phase relationship between input and output is:
A180 degrees (inverted)
B90 degrees
C0 degrees (in phase)
D45 degrees
Answer is hidden