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Cite error - ref name “barlow” defined multiple times. Fixed. (barlow1997 "MolnarHsueh2009") |
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A '''linear''' system is one whose response in a specified unit of measure, to a set of inputs considered at once, is the sum of its responses due to the inputs considered individually.
[[Linear algebra|Linear]] systems are easier to analyze mathematically. Linearity may occur in the basic elements of a neural circuit such as the response of a postsynaptic neuron, or as an emergent property of a combination of nonlinear subcircuits.<ref name=
==Examples==
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The accompanying taxonomy of [[linear filter]]s turns out to be useful in characterizing neural circuitry. Both [[low-pass filter|low-]] and [[high-pass filter]]s are postulated to exist in some form in sensory systems, as they act to prevent information loss in high and low contrast environments, respectively.
Indeed, measurements of the transfer functions of neurons in the [[horseshoe crab]] retina according to linear systems analysis show that they remove short-term fluctuations in input signals leaving only the long-term trends, in the manner of low-pass filters. These animals are unable to see low-contrast objects without the help of optical distortions caused by underwater currents.<ref name=
| title = The Neural Network of the Limulus Retina: From Computer to Behavior
| author = Robert B. Barlow, Jr., Ramkrishna Prakash, Eduardo Solessio
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