In [1]: 
from __future__ import division
import numpy as np
import matplotlib.pyplot as pt
In [3]: 
n = 2048

spikes = np.zeros(n)
spikes[730] = 1
spikes[1512] = 0.3
pt.plot(spikes)
Out[3]:
[<matplotlib.lines.Line2D at 0x36682d0>]
In [5]: 
pattern = np.zeros_like(spikes)
pattern[n/2-100:n/2+100] = np.sin(np.linspace(-pi, pi, 200))

-c:2: DeprecationWarning: using a non-integer number instead of an integer will result in an error in the future
In [9]: 
pt.plot(np.convolve(pattern, spikes))
Out[9]:
[<matplotlib.lines.Line2D at 0x3f72910>]

Now with the FFT

In [8]: 
spikes_hat = np.fft.ifft(spikes)
pattern_hat = np.fft.ifft(pattern)

convolved = np.fft.fft(spikes_hat * pattern_hat)
pt.plot(convolved.real)
Out[8]:
[<matplotlib.lines.Line2D at 0x3ec34d0>]
In [8]: