spkit.sinc_dirichlet

spkit.sinc_dirichlet(x, N)

Generate the main lobe of a sinc function

Generate the main lobe of a sinc function (Dirichlet kernel)

Parameters:

x: array of indexes to compute

N: size of FFT to simulate

Returns:

y: samples of the main lobe of a sinc function

See also

blackman_lobe

Notes

#TODO

References

• https://en.wikipedia.org/wiki/Sinc_function

• https://en.wikipedia.org/wiki/Dirichlet_kernel

Examples

>>> #sp.sinc_dirichlet
>>> import numpy as np
>>> import matplotlib.pyplot as plt
>>> import spkit as sp
>>> t = 2*np.arange(-50, 50)/201
>>> y = sp.sinc_dirichlet(t,N=512)
>>> plt.plot(t,y,label='N=512')
>>> y = sp.sinc_dirichlet(t,N=128)
>>> plt.plot(t,y,label='N=128')
>>> y = sp.sinc_dirichlet(t,N=64)
>>> plt.plot(t,y,label='N=64')
>>> plt.xlim([t[0],t[-1]])
>>> plt.grid()
>>> plt.legend()
>>> plt.show()

code:

#sp.sinc_dirichlet
import numpy as np
import matplotlib.pyplot as plt
import spkit as sp
t = 2*np.arange(-50, 50)/201
y = sp.sinc_dirichlet(t,N=512)
plt.plot(t,y,label='N=512')
y = sp.sinc_dirichlet(t,N=128)
plt.plot(t,y,label='N=128')
y = sp.sinc_dirichlet(t,N=64)
plt.plot(t,y,label='N=64')
plt.xlim([t[0],t[-1]])
plt.grid()
plt.legend()
plt.show()