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Figure 4
Jittering is equivalent to convolving with a sinc filter in expectation. The one-dimensional signal [f(x) = \exp^{-0.12x^{2}}\cdot\,\,[0.4x^{2}\sin(10\pi x)]] is shown for different levels of jitter J ∈ {0.5, 1, 1.5} and different levels of averaging {1, 5, 50, 500, 5000}. In expectation, jittering corresponds to a real-space convolution with a top-hat filter. This agrees with the equivalent operation in Fourier space via the convolution theorem, where it corresponds to multiplication by a sinc filter.

Journal logoSTRUCTURAL
BIOLOGY
ISSN: 2059-7983
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