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Manuscript Em03-G@1 · Em03-G-v1.tex · section · 0bb3a8a3

Retained source and a complete complementary channel

Retained source and a complete complementary channel · lines 845–858

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Define

q = e^{- 2∥ a_{1} ∥_{U}^{2}}, r = e^{- 2∥ a_{2} ∥_{U}^{2}},

q_{\pm} = e^{- 2∥ a_{1} \pm a_{2} ∥_{U}^{2}}, c_{+} = \frac{q _{+} + q _{-}}{2}, c_{-} = \frac{q _{-} - q _{+}}{2} .

Displayed formulas in this passage

unlabeled · line 849
$q = e^{- 2∥ a_{1} ∥_{U}^{2}}, r = e^{- 2∥ a_{2} ∥_{U}^{2}},$
unlabeled · line 853
$q_{\pm} = e^{- 2∥ a_{1} \pm a_{2} ∥_{U}^{2}}, c_{+} = \frac{q _{+} + q _{-}}{2}, c_{-} = \frac{q _{-} - q _{+}}{2} .$

Nearby in this section

theorem: Theorem: Exact retained-source channel