diff options
Diffstat (limited to 'numpy')
| -rw-r--r-- | numpy/core/numeric.py | 10 |
1 files changed, 5 insertions, 5 deletions
diff --git a/numpy/core/numeric.py b/numpy/core/numeric.py index b058d06bc..4022f3874 100644 --- a/numpy/core/numeric.py +++ b/numpy/core/numeric.py @@ -679,9 +679,9 @@ def correlate(a, v, mode='valid'): Cross-correlation of two 1-dimensional sequences. This function computes the correlation as generally defined in signal - processing texts:: + processing texts: - .. math:: c_k = \sum_n a_{n+k} * \overline{v_n} + .. math:: c_k = \sum_n a_{n+k} \cdot \overline{v_n} with a and v sequences being zero-padded where necessary and :math:`\overline x` denoting complex conjugation. @@ -711,9 +711,9 @@ def correlate(a, v, mode='valid'): Notes ----- The definition of correlation above is not unique and sometimes correlation - may be defined differently. Another common definition is:: + may be defined differently. Another common definition is: - .. math:: c'_k = \sum_n a_{n} * \overline{v_{n+k} + .. math:: c'_k = \sum_n a_{n} \cdot \overline{v_{n+k}} which is related to :math:`c_k` by :math:`c'_k = c_{-k}`. @@ -804,7 +804,7 @@ def convolve(a, v, mode='full'): ----- The discrete convolution operation is defined as - .. math:: (a * v)[n] = \\sum_{m = -\\infty}^{\\infty} a[m] v[n - m] + .. math:: (a * v)_n = \\sum_{m = -\\infty}^{\\infty} a_m v_{n - m} It can be shown that a convolution :math:`x(t) * y(t)` in time/space is equivalent to the multiplication :math:`X(f) Y(f)` in the Fourier |