def add_motion_spikes(motion_mat,frequency,severity,TR):
time = motion_mat[:,0]
max_translation = 5 * severity / 1000 * np.sqrt(2*np.pi)#Max translations in m, factor of sqrt(2*pi) accounts for normalisation factor in norm.pdf later on
max_rotation = np.radians(5 * severity) *np.sqrt(2*np.pi) #Max rotation in rad
time_blocks = np.floor(time[-1]/TR).astype(np.int32)
for i in range(time_blocks):
if np.random.uniform(0,1) < frequency: #Decide whether to add spike
for j in range(1,4):
if np.random.uniform(0,1) < 1/6:
motion_mat[:,j] = motion_mat[:,j] \
+ max_translation * random.uniform(-1,1) \
* norm.pdf(time,loc = (i+0.5)*TR,scale = TR/5)
for j in range(4,7):
if np.random.uniform(0,1) < 1/6:
motion_mat[:,j] = motion_mat[:,j] \
+ max_rotation * random.uniform(-1,1) \
* norm.pdf(time,loc = (i+0.5 + np.random.uniform(-0.25,-.25))*TR,scale = TR/5)
return motion_mat
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