Table 1 Simulation parameters.

Number of Users (M)

M = 10

Number of users in the system

Number of Antennas (N)

N = 4

Number of antennas at the base station

System Bandwidth (B)

B = 5 MHz

Bandwidth of the system

Noise Power

\(\sigma_{u}^{2} = \sigma_{d}^{2} = - 104{\text{dBm}}\)

Noise power in dBm

Path Loss Model

128.01 + \(37.6{\text{log}}_{10} d\) (d in km)

Path loss model formula, d is distance in km

Shadow Fading Standard Deviation

4 dB

Shadow fading standard deviation

Computational Task Size (\(R_{j}\))

\(R_{j}\) is \(10^{5} {\text{bit}}\)

Size of the computational task for each user

Computational Cycles per Bit (\(C_{i}\))

\(C_{i}\) is \(10^{3} {\text{cycles}}/{\text{bit}}\)

Computational cycles needed per bit

Maximum CPU Power per User (\(f^{i} {\text{max}}\))

\(f^{i} {\text{max}} = 1{\text{GHz}}\)

Maximum CPU power each user can use

Local Computational Energy Consumption (P_J)

\(P_{J} = 10^{ - 10} {\text{J}}\)/cycle

Energy consumption per computational cycle

Maximum Transmit Power per User (P)

\(P = 37{\text{dBm}}\)

Maximum transmit power of each user

Maximum Transmit Power at Base Station (Q)

\(Q = 44{\text{dBm}}\)

Maximum transmit power at the base station

Effective Capacitance Factor (k)

\(k = 10^{ - 28}\)

Capacitance factor of the chip architecture

Energy Efficiency in Energy Harvesting (\(u_{j}\))

\(u_{j} = 0.8\)

Energy harvesting efficiency for each user

System Duration (T)

\(T\) is \(0.2\) seconds

Total duration of the system

Edge Computing Capability (F)

\(F = 6 \times 10^{9}\) cycles/slot

Edge computing processing capability