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@@ -15,23 +15,23 @@ U_points = voxel_num * 3000
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noise_ratio = mpf(0.0*1e-38) #1e8
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total_periods=10#DO NOT CHANGE to fit T2s_scale autoscale
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-rf_samples_per_period = 40
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+rf_samples_per_period = 80
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# max polynomial order equals rf_samples_per_period * total_periods
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# B0=1.5T freq=64Mhz, period = 15.6 ns
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period = mpf(10) #ms
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omega = 2.0*mp.pi/period
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#T2s_scale = 0.01 #ms # need to be 10ms
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-T2s_scale = total_periods*period/rf_samples_per_period/voxel_num*5 #ms # need to be 10ms
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-T2s_min = T2s_scale/10.0
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+T2s_scale = total_periods*period/rf_samples_per_period/voxel_num*8 #ms # need to be 10ms
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+T2s_min = T2s_scale/20.0
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#print(period)
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#ms
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time_steps = np.array(mp.linspace(mpf(0), mpf(period*total_periods), rf_samples_per_period*total_periods))
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-tmp = [mp.rand() for n in range(voxel_num)]
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+tmp = [mp.rand()*0.0+mpf(1.0) for n in range(voxel_num)]
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voxel_amplitudes = np.array(tmp)
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tmp = [mp.rand() for n in range(voxel_num)]
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-voxel_T2s_decay = np.array(tmp)*(T2s_scale-2*T2s_min) + T2s_min
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-print(voxel_T2s_decay)
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+voxel_T2s_decay = np.sort(np.array(tmp))*(T2s_scale-2*T2s_min) + T2s_min
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+
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voxel_all = np.append(voxel_amplitudes,voxel_T2s_decay/T2s_scale)
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if voxel_num == 5:
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# voxel_all = np.array([mpf(0.2),mpf(0.6),mpf(0.02),mpf(0.1)])
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@@ -168,10 +168,19 @@ lambdas = GetLambda(mag_sin)
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print(lambdas)
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U = GetU(lambdas)
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+sign =""
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+for i in range(voxel_num):
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+ sign+="{:4.3g}, ".format(float( mp.exp(-(period/rf_samples_per_period)/voxel_T2s_decay[i]) ))
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+print(sign)
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x = np.linspace(0,1, U_points)
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mag_x = np.linspace(0,1, len(mag_sin))
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+import matplotlib as matplotlib
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+matplotlib.rcParams.update({'font.size': 28})
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+plt.figure(figsize=(30, 20))
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plt.plot(x,U, lw=0.2)
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plt.title(r"$\sum^M \lambda_i L_i(x)$", y=1.02)
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+plt.xlim(0,1)
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+plt.xlabel(sign, fontsize=28)
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plt.savefig("plt.pdf")
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plt.clf()
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