def ber(x, y, m=2):
"""Measure bit error rate between symbols in x and y.
:param x: symbol array #1
:param y: symbol array #2
:param m: symbol alphabet size (maximum 64)
:returns: bit error rate
>>> import arlpy
>>> arlpy.comms.ber([0,1,2,3], [0,1,2,2], m=4)
0.125
"""
x = _np.asarray(x, dtype=_np.int)
y = _np.asarray(y, dtype=_np.int)
if _np.any(x >= m) or _np.any(y >= m) or _np.any(x < 0) or _np.any(y < 0):
raise ValueError('Invalid data for specified m')
if m == 2:
return ser(x, y)
if m > _MAX_M:
raise ValueError('m > %d not supported' % (_MAX_M))
n = _np.product(_np.shape(x))*_np.log2(m)
e = x^y
e = e[_np.nonzero(e)]
e = _np.sum(_popcount[e])
return float(e)/n
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