Translations:Minimum delay/7/en

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What are all-pass systems? Causal systems occur that have no log gain, and such systems are called all-pass systems. There are two kinds of all-pass systems. The first kind is the trivial all-pass system, which has no delay. Because a trivial all-pass system has zero log gain and zero delay, we pay nothing for nothing, which is fair. The other kind of all-pass system is the nontrivial all-pass system, and it does produce delay. Because a nontrivial all-pass system has no log gain but does have delay, we pay something for nothing, which is unfair (Robinson, 1962[1]; Robinson and Treitel, 1965[2]).

  1. Robinson, E. A., 1962, Random wavelets and cybernetic systems: Charles Griffin and Co. and Macmillan.
  2. Robinson, E. A., and S. Treitel, 1965, Dispersive digital filters: Reviews of Geophysics, 3, 433–461.