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Below, we derive a distance-dependent CRLB for the ATDOA system.

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Below, we derive an expression for the AMMSE of HDA-VQ for the G M a) source and Rayleigh-fading AWGN channel.

Below, we derive the two-step localization algorithm.

Below, we derive formulas for the spatially dispersive dielectric functions.

Below, we derive this PDF by first introducing the Nakagami approximation for the PDFs of h ∑ l and h ∑ q.

The contributions are expressed as below: at first, we derive a closed-form expressions of outage probability at two-way relay cooperation group for AF and DF relaying schemes with Nakagami-m fading channels respectively.

The main contributions of this paper are summarized here below: We derive necessary conditions and sufficient conditions for the existence of a solution to the joint spectrum scheduling and power allocation problem in a CR system.

Hence any minimizing sequence of m is bounded, then by Lemmas 2.6 2.7 below we derive that m is attained by some function and it is a ground state solution.

Below, we will derive a statistical algorithm for estimating and testing these parameters.

Using the methods described below, we derived the following variables to describe units and configuration of care and considered these as factors which might be associated with the study outcomes: We used ONS data to derive the number of births per year in each hospital.

We present below how we derive our test SV model for IGRF-12.

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