Performance Analysis of a MIMO System Under Realistic Conditions Using 3GPP Channel Model
Abstract
1. Introduction
2. System Model
2.1. Simulator
2.2. Channel Models
- 3GPP Spatial Channel Model (SCM)/SCM-Extended (SCME)
- 3GPP WINNER II Channel Model (SCM extension)
- 3GPP TR 38.901 (5G Channel Model)—2D Option [11].
- 3GPP TR 36.873—3D Channel Model for LTE
- 3GPP TR 38.901—3D Channel Model for 5G NR [11].
2.3. Paper Contribution
- Transmission antenna power.
- Carrier frequency.
- The K-factor, which essentially determines the ratio between Line-of-Sight (LOS) and Non-Line-of-Sight (NLOS) conditions.
- Transmit power and antenna polarization.
- MIMO antenna configuration ratio.
- Ratio of indoor to outdoor users.
- User mobility speed.
- Use of an indoor propagation model.
- User density.
- Cell size.
3. Simulation Results
- Average Cell Throughput measures how much useful data a cell delivers per unit time, averaged over all active users.
- Average UE Throughput on the other hand measures how much data a specific user receives per unit time, averaged over the simulation or measurement interval.
- Average User Spectral Efficiency (SE) is a KPI used in LTE/5G/NR systems to measure how efficiently the radio spectrum is used by each user.
- Average Cell Spectral Efficiency (CSE) measures how efficiently an entire cell uses its radio spectrum.
- Signal-to-Interference-plus-Noise Ratio (SINR) is one of the most important metrics in wireless communications because it directly describes how clearly a receiver can detect the desired signal in the presence of interference and noise [33].
- : Channel vector for UE u, layer l, resource n.
- : receive filter (ZF, MMSE, etc.).
- : allocated TX power for layer l.
- : Noise variance.
- : The set of RBs/subcarriers assigned to UE u at time t.
- : Bandwidth per subcarrier.
- (): only successful transmissions count.
- : Average UE spectral efficiency (bits/s/Hz).
- : Total system or allocated bandwidth.
- is the instantaneous user throughput (bits/s) produced by the LPM at time t.
- is the system bandwidth (Hz).
- is therefore the average UE spectral efficiency (bits/s/Hz).
- Simulation 1: Increase Tx Power
- Simulation 2: Increasing Frequency
- Simulation 3: Changing K-factor
- Simulation 4: Changing Power Transmission and Antenna Polarization
- Simulation 5: Changing Antenna Elements and Polarization
- Simulation 6: Adding Velocity to users and changing the indoor fraction
- Simulation 7: Changing our model to indoor situations
- Symmetry Measurement Approach
- Variance (σ2) of Average Spectral Efficiency
- Avg UE spectral efficiency for the i-th user or scenario;
- is the mean of all values;
- number of users or scenarios considered;
- variance, which quantifies the spread of values around the mean.
- is the variance of average UE spectral efficiency across users or scenarios
- = Avg UE spectral efficiency of the i-th user or scenario;
- is the mean value;
- number of users or scenarios considered;
- small number (e.g., 1 × 10−6) to avoid division by zero [27].
- Simulation 8: Increasing Users
- Simulation 9: Increasing Cell Radius
4. Conclusions
Author Contributions
Funding
Data Availability Statement
Conflicts of Interest
References
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| Parametres | Value |
|---|---|
| User Density | 2500 users/Km2 |
| User Velocity | 0 |
| Carrier Frequency | 28 GHz |
| TTi | 10 |
| Bandwidth | 10 MHz |
| Subcarrier Spacing | 60 KHz |
| TX Power | 47 dB |
| Polarizations | Single-dual |
| Indoor UTs percentage | 80% |
| UMi—specifications | |
| BS Height | 10 m |
| User Height | 1.5 m |
| Building floor height | 3 m |
| User Velocity | 0 |
| User distribution | 75 users/cell |
| Antenna—specifications | |
| nTx | 4 |
| nRx | 2 |
| Channel Specifications (Simulation 1) | Average Cell Throughput (Mb/s) | Avg UE Spectral Efficiency (bit/cu) |
|---|---|---|
| Power Tx = 10 watt | 17.26 | 2.20 |
| Power Tx = 30 watt | 15.62 | 2.15 |
| Power Tx = 50 watt | 19.04 | 2.50 |
| Channel Specifications (Simulation 2) | Average Cell Throughput (Mb/s) | Avg UE Spectral Efficiency (bit/cu) |
|---|---|---|
| Frequency: 2.4 GHz | 21.34 | 2.86 |
| Frequency: 3.5 GHz | 23.70 | 3.27 |
| Frequency: 5.8 GHz | 33.30 | 3.34 |
| Channel Specifications (Simulation 3) | Average Cell Throughput (Mb/s) | Avg UE Spectral Efficiency (bit/cu) |
|---|---|---|
| K-factor = 0 dB | 17.94 | 2.39 |
| K-factor = 9 dB | 14.05 | 2.62 |
| K-factor: 18 dB | 12.51 | 1.84 |
| Channel Specifications (ol = 1: Single Polarization Pol = 2: Dual Polarization) | Average Cell Throughput (Mb/s) | Avg UE Spectral Efficiency (bit/cu) |
|---|---|---|
| Power Tx = 47 db, pol = 1 | 28.01 | 3.93 |
| Power Tx = 50 db, pol = 1 | 26.71 | 3.46 |
| Power Tx = 53 db, pol = 1 | 33.01 | 4.76 |
| Power Tx = 47 db, pol = 2 | 23.62 | 3.04 |
| Power Tx = 50 db, pol = 2 | 24.47 | 3.40 |
| Power Tx = 53 db, pol = 2 | 25.19 | 3.20 |
| Channel Specifications (Pol = 1: Single Polarization Pol = 2: Dual Polarization) | Average Cell Throughput (Mb/s) | Avg UE Spectral Efficiency (bit/cu) |
|---|---|---|
| MIMO 2 × 1, pol = 1 | 14.46 | 2.02 |
| MIMO 2 × 2, pol = 1 | 19.05 | 2.54 |
| MIMO 4 × 2, pol = 1 | 20.35 | 2.96 |
| MIMO 2 × 1, pol = 2 | 16.54 | 2.30 |
| MIMO 2 × 2, pol = 2 | 20.08 | 2.72 |
| MIMO 4 × 2, pol = 2 | 22.32 | 3.03 |
| Channel Specifications (Simulation 6) | Average Cell Throughput (Mb/s) | Avg UE Spectral Efficiency (bit/cu) |
|---|---|---|
| Indoor fraction 50%, velocity = 0.3 m/s (1.1 km/h) very slow movement | 15.60 | 2.42 |
| Indoor fraction 50%, velocity = 0.8 m/s (3 km/h) slow movement | 10.92 | 1.67 |
| Indoor fraction 50%, velocity = 1.2 m/s (4 km/h) normal pedestrian | 7.76 | 1.09 |
| Indoor fraction 80%, velocity = 0.3 m/s (1 km/h) very slow movement | 16.80 | 2.67 |
| Indoor fraction 80%, velocity = 0.8 m/s (3 km/h) slow movement | 10.12 | 1.49 |
| Indoor fraction 80%, velocity = 1.2 m/s (4 km/h) normal pedestrian | 7.84 | 1.67 |
| Only Indoor Users, velocity = 0.3 m/s (1 km/h) very slow movement | 18.23 | 2.58 |
| Only Indoor Users, velocity = 1.2 m/s (3 km/h) pedestrian movement | 10.21 | 1.61 |
| Only Outdoor Users, velocity = 1.2 m/s (normal pedestrian) | 8.56 | 1.13 |
| Only Outdoor Users, velocity = 3 m/s (10 km/h—running) | 6.28 | 0.92 |
| Only Outdoor Users, velocity = 6 m/s (20 km/h—bicycling) | 5.17 | 0.70 |
| Channel Specifications (Simulation 7) | Average Cell Throughput (Mb/s) | Avg UE Spectral Efficiency (bit/cu) |
|---|---|---|
| Indoor fraction 25%, indoor office model type, soft movement = 0.3 m/s | 4.64 | 0.78 |
| Indoor fraction 50%, indoor office model type, soft movement = 0.3 m/s | 6.83 | 0.98 |
| Indoor fraction 75%, indoor office model type, soft movement = 0.3 m/s | 6.61 | 0.91 |
| Indoor fraction 100%, indoor office model type, soft movement = 0.3 m/s | 4.64 | 0.69 |
| Sim | Scenario | Variance of Avg UE SE (σ2) | CSI | Observation |
|---|---|---|---|---|
| 1 | Pol = 1 Tx: 47 → 53 dB | 0.289 | 3.46 | Higher variance → asymmetric channel |
| 1 | Pol = 2 Tx: 47 → 53 dB | 0.022 | 45.45 | Lower variance → improved symmetry |
| 2 | Pol = 1 2 × 1, 2 × 2, 4 × 4 | 0.148 | 6.76 | Higher variance → asymmetric channel |
| 2 | Pol = 2 2 × 1, 2 × 2, 4 × 2 | 0.090 | 11.11 | Lower variance → improved symmetry |
| 3 | Only Indoor | 0.235 | 4.26 | Lower variance → more symmetric among indoor users |
| 3 | Only Outdoor | 0.031 | 32.26 | Lowest variance → very symmetric channel |
| Channel Specifications (Simulation 8) | Average Cell Throughput (Mb/s) | Avg UE Spectral Efficiency (bit/cu) |
|---|---|---|
| Indoor fraction 50%, 30 users per cell (r = 100 m) | 28.06 | 3.63 |
| Indoor fraction 50%, 75 users per cell (r = 100 m) | 16.73 | 2.36 |
| Indoor fraction 50%, 120 users per cell (r = 100 m) | 14.27 | 2.25 |
| Indoor fraction 50%, 250 users per cell (r = 100 m) | 17.58 | 2.16 |
| Indoor fraction 50%, 500 users per cell (r = 100 m) | 29.88 | 3.48 |
| Indoor fraction 50%, 750 users per cell (r = 100 m) | 38.51 Average user = 0.15 | 4.40 |
| Indoor fraction 50%, 1000 users per cell (r = 100 m) | 38.91 Average user = 0.13 | 4.97 |
| Channel Specifications (Simulation 9) | Average Cell Throughput (Mb/s) | Avg UE Spectral Efficiency (bit/cu) |
|---|---|---|
| 150 users per cell (cell radium = 50 m) | 14.36 | 2.32 |
| 150 users per cell (cell radium = 100 m) | 14.45 | 2.52 |
| 150 users per cell (cell radium = 200 m) | 12.44 | 2.12 |
| 150 users per cell (cell radium = 500 m) | 7.91 | 1.31 |
| Simulation | Parameter(s) Varied | Observed Effect | Unexpected/Counterintuitive Observations | Symmetry/Asymmetry Impact | Practical Significance/Implication |
|---|---|---|---|---|---|
| 1 | Transmit Power (10–50 W) | Higher power generally improves SNR and throughput | 30 W slightly lower throughput than 10 W | Minor impact on symmetry; interference creates uneven gains | Highlights multi-user interactions and power optimization |
| 2 | Carrier Frequency (2.4–5.8 GHz) | Cell throughput increases with frequency | Avg User throughput does not always increase proportionally | Higher frequency can increase asymmetry due to directional propagation and blockage | Frequency selection must consider spatial variability |
| 3 | K-factor (0–18 dB) | Low K → high spatial multiplexing; high K → reduced MU-MIMO gain | Moderate K (~9 dB) sometimes higher spectral efficiency | High LOS improves symmetry but reduces rank; low K balances asymmetry and spatial streams | Trade-off between channel stability and multiplexing |
| 4 | Transmit Power + Antenna Polarization | Higher power improves throughput; dual polarization improves symmetry | Dual polarization not always effective | Dual polarization reduces asymmetry; misalignment limits effect | Careful antenna design and alignment needed in urban scenarios |
| 5 | Number of Antenna Elements + Polarization | More antennas and dual polarization increase throughput | Gains saturate beyond certain counts | Larger arrays reduce asymmetry through spatial diversity | Optimize array size and polarization for reliability and coverage |
| 6 | User Mobility + Indoor Fraction | Higher mobility/ indoor fraction → lower throughput | Minor reductions in low-mobility indoor users | Increased mobility and heterogeneous distribution increase asymmetry | Mobility-aware scheduling and indoor coverage strategies required |
| 7 | Indoor Deployment Model | Higher indoor fraction → more interference, lower throughput | 75% indoor fraction sometimes outperformed 50% | Dense indoor layouts increase asymmetry; careful layout reduces it | Beamforming and environment- specific tuning critical |
| 8 | Number of Users | Moderate load → optimal; very high load → interference | Very high users (750–1000) increased avg throughput | High density increases asymmetry; scheduler balances load | Load-adaptive scheduling leverages multi-user diversity |
| 9 | Cell Radius | Larger cells → increased asymmetry; smaller cells → more uniform | Slight throughput improvement 100 m vs. 50 m | Larger radius amplifies path-loss disparities → asymmetry | Careful microcell planning ensures balanced coverage |
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Share and Cite
Mouziouras, N.; Tsormpatzoglou, A.; Angelis, C.T. Performance Analysis of a MIMO System Under Realistic Conditions Using 3GPP Channel Model. Symmetry 2025, 17, 2159. https://doi.org/10.3390/sym17122159
Mouziouras N, Tsormpatzoglou A, Angelis CT. Performance Analysis of a MIMO System Under Realistic Conditions Using 3GPP Channel Model. Symmetry. 2025; 17(12):2159. https://doi.org/10.3390/sym17122159
Chicago/Turabian StyleMouziouras, Nikolaos, Andreas Tsormpatzoglou, and Constantinos T. Angelis. 2025. "Performance Analysis of a MIMO System Under Realistic Conditions Using 3GPP Channel Model" Symmetry 17, no. 12: 2159. https://doi.org/10.3390/sym17122159
APA StyleMouziouras, N., Tsormpatzoglou, A., & Angelis, C. T. (2025). Performance Analysis of a MIMO System Under Realistic Conditions Using 3GPP Channel Model. Symmetry, 17(12), 2159. https://doi.org/10.3390/sym17122159

