Computation Over Wide-Band Multi-Access Channels: Achievable Rates Through Sub-Function Allocation

Abstract

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NOMA-Enhanced Computation Over Multi-Access Channels

“…Since the superpositions and the combinations in practice are random depending on channel realizations, it causes that |M ϕ | and |M δ ϕ | are stochastic. As the limit of large n, the set M δ ϕ and M ϕ contain, respectively, |M δ ϕ | = n D|X | sub-carriers and |M ϕ | = D|M δ ϕ | sub-carriers referring to [20,Lemma 2]. Then, the transmission of the specific superposition δ in the combination ϕ totally occupies…”

“…Since analog CoMAC is not robust to noise, digital CoMAC was proposed to use joint source-channel coding in [11]- [20] to improve the equivalent signal-to-noise ratio (SNR). The potential of linear source coding was discussed in [11], and its application was presented in [12] for CoMAC.…”

“…In order to avoid the vanishing rate, narrowband CoMAC (NB-CoMAC) with opportunistic computation has been studied in [17]. WB-CoMAC with sub-function allocation has been extended in [20] against both frequency selective fading and the vanishing computation rate.…”

Robust Design for Massive CSI Acquisition in Analog Function Computation Networks

“…where MSE(û, u) is given in (9). The objective function of P1 is convex over each of the transmit vectors or receive vector, but not jointly convex.…”

“…It was based on two categories of nomographic functions proposed in [8], including linear and non-linear functions. To reduce the time and energy complexity in practical scenarios, a novel subfunction allocation was proposed to handle the frequency selective fading and vanishing computation rate issue through the division, allocation and reconstruction of the functions in [9].…”