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For notation simplicity, we drop index m.
Therefore, we omit the the subscript m for notation simplicity.
aFor notation simplicity, R r is used instead of R1u.
Please note that we drop the underscript (i) when necessary for notation simplicity.
For notation simplicity, let denote the loss probability due to fading and channel mismatching, that is.
For notation simplicity, the condition of the expectation is eliminated throughout the paper.
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The time dependence of the CIR is not present in the notation for simplicity.
For the ISDIC algorithm we use a matrix vector notation for simplicity, which is introduced in the following.
We use the following notation: For simplicity, we denote ∫ h : = ∫ R N h ( x ) d x and ∫ E h : = ∫ E h ( x ) d x, where E ⊂ R N is measurable.
Note that in our algorithm we perform the update steps described so far for all hypotheses separately, but we omitted this in the notation for simplicity.
For convenience in the notation and simplicity in the proofs, we suppose that functions vanish out of their specified domains, that is, let be defined for some, then it is always understood that for, where is the characteristic function of defined by for and for.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com