4. ¡ Nikola Tesla
§ Serbian
§ Inventor of AC
§ Tesla coil
§ Sta&onary terrestrial
waves
§ Unit of magne&c field
strength named aQer
him
[1] Tal Geva JCMR 2006
19. § Performance of compressed sensing (CS) algorithms depends on
the sparsity level of the signal, the type of sampling pafern used
and the reconstruc&on method applied.
§ The higher the incoherence of the sampling pafern used for
undersampling, less aliasing is no&ced resul&ng in befer CS
reconstruc&on.
§ The theory of CS requires acquisi&on of randomized set of
measurements (random sampling), leading to incoherant aliasing
ar&facts.
§ But random sampling requires bigger changes in amplitudes and
polarity of MR system gradients, which is not feasible in MR
system.
20. Three candidate sampling patterns and their corresponding PSFs: top to bottom:
random, Poisson disc and constrained random
Usman et. al., Sampta 2009
21. 21
¡ Joint k-space trajectory allows for the specification of a region
of interest(ROI), which improves excitation accuracy at high
speedup factors
¡ It allows for magnetic field inhomogenetiy compensation
during excitation k-space
¡ Optimized accelerated selective excitation is useful for
reducing specific absorption rate(SAR) and shortening
multidimensional RF pluses
22. ¡ Normal transmission
§ In a normal transmission, the data/signals are sent one at a time
over the transmission channel
¡ Parallel transmission
§ Parallel transmission means simultaneous transmission
of N signals. These signals are sent simultaneously over
N different channels
Radartutorial.eu
24. 24
SAR
§ Specific absorption rate (SAR) is a measure of the rate at
which energy is absorbed by the body when exposed to a radio
frequency (RF) electromagnetic field
§ It is defined as the power absorbed per mass of tissue and has units
of watts per kilogram(W/kg)
¡ SAR can be calculated from the electric field within the tissue as:
where
¡ σ is the sample electrical conductivity
¡ E is the RMS electric field
¡ ρ is the sample density
( ) ( )
( )
dr
r
rEr
SAR
sample
∫=
2
2ρ
σ
25. 25
¡ Errors and SAR will be increasing, we need to decrease them
¡ So we have a formula as
C= є + λ (SAR) …2
Here C= cost, є= excitation error, λ = Lagrange multiplier
¡ As λ increases SAR reduces to some extent then remains constant and
error also remain constant
L-curve
L-curve Subset virtual observation points for RF
28. 28
¡ The image of the target organ in which we are interested is
taken using 2D-FT
¡ The scanned image obtained by parallel transmit from MRI is
called as k-space, obtained k-space undergoes sampling at ROI
¡ Then 2D-IFT is done to achieve a desired excitation pattern
Echo-Planar Imaging (EPI) k-space raster. Brazilian journal of physics