(a) (b) In relation to the detection of an uplink multi-user 5G Multiple-Input, Multiple-Output (MIMO) system with nu single-user antennas, transmitting concurrently to n, base station antennas; (i) (ii) Briefly explain the steps required in order to perform Zero-Forcing (ZF) detection and explain its main disadvantage. Briefly explain the steps required in order to perform Minimum-Mean-Square- Error (MMSE) detection. Explain why it is better than the ZF detector and explain its main disadvantage. (iii) Briefly explain what a sphere decoder (SD) is and explain the main disadvantages of traditional "exact", depth-first sphere decoders. (iv) Explain which detector of the three (ZF, MMSE, SD) you would prefer to use in the case of operating in low SNR, with a very large number of antennas at the base station and a small number of users compared to the number of base station antennas. Justify how each operation parameter affects your decision. (ii) In relation to MIMO systems; (i) Starting from the general MIMO channel capacity equation, prove that the capacity of a 5G MIMO system in the uplink with n, transmit and n, (≥ n₂) antennas, can be expressed as C = log₂det (In, +HHH No when transmitting independent and identically distributed Gaussian signals of power p over a MIMO channel H, that is static and perfectly known at the receiver, and in the presence of (complex) noise with a power spectral density of No. For the same scenario with part (i), prove that the corresponding capacity can also be expressed as C = log₂det (In, + H²H). ne No
(a) (b) In relation to the detection of an uplink multi-user 5G Multiple-Input, Multiple-Output (MIMO) system with nu single-user antennas, transmitting concurrently to n, base station antennas; (i) (ii) Briefly explain the steps required in order to perform Zero-Forcing (ZF) detection and explain its main disadvantage. Briefly explain the steps required in order to perform Minimum-Mean-Square- Error (MMSE) detection. Explain why it is better than the ZF detector and explain its main disadvantage. (iii) Briefly explain what a sphere decoder (SD) is and explain the main disadvantages of traditional "exact", depth-first sphere decoders. (iv) Explain which detector of the three (ZF, MMSE, SD) you would prefer to use in the case of operating in low SNR, with a very large number of antennas at the base station and a small number of users compared to the number of base station antennas. Justify how each operation parameter affects your decision. (ii) In relation to MIMO systems; (i) Starting from the general MIMO channel capacity equation, prove that the capacity of a 5G MIMO system in the uplink with n, transmit and n, (≥ n₂) antennas, can be expressed as C = log₂det (In, +HHH No when transmitting independent and identically distributed Gaussian signals of power p over a MIMO channel H, that is static and perfectly known at the receiver, and in the presence of (complex) noise with a power spectral density of No. For the same scenario with part (i), prove that the corresponding capacity can also be expressed as C = log₂det (In, + H²H). ne No
Chapter8: Data And Network Communication Technology
Section: Chapter Questions
Problem 1PE
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Transcribed Image Text:(a)
(b)
In relation to the detection of an uplink multi-user 5G Multiple-Input, Multiple-Output
(MIMO) system with ny single-user antennas, transmitting concurrently to n, base
station antennas;
(i)
(ii)
(iii)
Briefly explain the steps required in order to perform Zero-Forcing (ZF)
detection and explain its main disadvantage.
Briefly explain the steps required in order to perform Minimum-Mean-Square-
Error (MMSE) detection. Explain why it is better than the ZF detector and
explain its main disadvantage.
(ii)
Briefly explain what a sphere decoder (SD) is and explain the main
disadvantages of traditional "exact", depth-first sphere decoders.
(iv)
Explain which detector of the three (ZF, MMSE, SD) you would prefer to use
in the case of operating in low SNR, with a very large number of antennas at
the base station and a small number of users compared to the number of base
station antennas. Justify how each operation parameter affects your decision.
In relation to MIMO systems;
(i)
Starting from the general MIMO channel capacity equation, prove that the
capacity of a 5G MIMO system in the uplink with n transmit and n, (≥ n₂)
antennas, can be expressed as
C = log₂det (In, + HH")
No
when transmitting independent and identically distributed Gaussian signals of
power p over a MIMO channel H, that is static and perfectly known at the
receiver, and in the presence of (complex) noise with a power spectral density
of No.
For the same scenario with part (i), prove that the corresponding capacity can
also be expressed as
C = log₂det (In, + H¹H).
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