1 files changed, 48 insertions, 0 deletions
diff --git a/buch/papers/fm/Python animation/Bessel-FM.py b/buch/papers/fm/Python animation/Bessel-FM.py
new file mode 100644
index 0000000..cb35ebd
--- /dev/null
+++ b/buch/papers/fm/Python animation/Bessel-FM.py
@@ -0,0 +1,48 @@
+import numpy as np
+from scipy import signal
+from scipy.fft import fft, ifft, fftfreq
+import scipy.special as sc
+import scipy.fftpack
+import matplotlib.pyplot as plt
+import matplotlib as mpl
+# Use the pgf backend (must be set before pyplot imported)
+mpl.use('pgf')
+
+from matplotlib.widgets import Slider
+def fm(beta):
+    # Number of samplepoints
+    N = 600
+    # sample spacing
+    T = 1.0 / 1000.0
+    fc = 100.0
+    fm = 30.0
+    x = np.linspace(0.01, N*T, N)
+    #beta = 1.0
+    y_old = np.sin(fc * 2.0*np.pi*x+beta*np.sin(fm * 2.0*np.pi*x))
+    y = 0*x;
+    xf = fftfreq(N, 1 / N)
+    for k in range (-4, 4):
+        y = sc.jv(k,beta)*np.sin((fc+k*fm) * 2.0*np.pi*x)
+        yf = fft(y)/(fc*np.pi)
+        plt.plot(xf, np.abs(yf))
+    plt.xlim(-150, 150)
+    #plt.savefig('bessel.pgf', format='pgf')
+    plt.show()
+
+fm(1)
+
+# Bessel-Funktion
+for n in range (-2,4):
+    x = np.linspace(-11,11,1000)
+    y = sc.jv(n,x)
+    plt.plot(x, y, '-',label='n='+str(n))
+#plt.plot([1,1],[sc.jv(0,1),sc.jv(-1,1)],)
+plt.xlim(-10,10)
+plt.grid(True)
+plt.ylabel('Bessel $J_n(\\beta)$')
+plt.xlabel(' $ \\beta $ ')
+plt.plot(x, y)
+plt.legend()
+#plt.show()
+plt.savefig('bessel.pgf', format='pgf')
+print(sc.jv(0,1))
+\ No newline at end of file