Doppler Ultrasound Flashcards
What is the doppler effect?
Change in frequency due to relative motion of source and receiver
What happens to the wavelengths ahead of a source?
The wavelengths decrease ahead and increase behind
What is considered in order to derive the doppler equation?
Consider a red blood cell (a scatterer) moving towards a transducer emitting continuous wave (CW) ultrasound
What is the frequency of the reflected sound measured at the transducer
What is the relative velocity of the wavefronts and the scatterer?
c_0 + v
v = scatterer velocity
What is the sound wavelength?
λ = c_0 / f
What is the frequency of the wavefronts hitting the scatterer?
f ‘ = (c_0 + v) f / c_0
What is the wavelength of the reflected wave?
λ’’ = c_0 - v / f ‘ = (c_0 / f) c_0 - v / c_0 + v
What is the frequency of the scatterer moving towards transducer?
f ‘’ = c_0 / λ ‘’ = f (c_0 + v) / (c_0 - v)
What is the doppler frequency shift?
f_d = f ‘’ - f = 2 f v / c_0 - v
What is the doppler frequency shift if reflector is moving towards transducer?
f_d ≈ 2 f v / c_0
What is the doppler frequency shift if reflector is moving away from transducer?
f_d ≈ - 2 f v / c_0
What is the doppler equation if scatterer moves at angle to transducer axis?
f_d = ± 2 f v cos θ / c_0
What is the effect of increasing the angle of incidence on doppler shift?
decreases the doppler shift
What happens if the beam is at normal incidence?
No frequency shift (no Doppler signal)
In practice what is the size of the insonation angle?
insonation angle should be less than 60 degrees
What is the continuous wave (CW) Doppler?
Continuous ultrasound wave emitted at a single frequency. Two transducers with overlapping beams required for transmit and receive
What are CW doppler made using?
Made using air-backed high-Q transducers
What is the first step in Doppler signal processing?
Demodulation: remove transmit frequency from received signal to give Doppler signal