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Quantifying Geometry Effects on Low-Cost Intelligent Reflecting Surfaces

Yizhi He, Sayed Amir Hoseini, Mahbub Hassan

TL;DR

The paper analyzes how two cost-saving IRS designs—column-wise element grouping and 1-bit binary phase quantization—affect link-budget relative to an ideal continuous-phase IRS, across three realistic 3D deployment geometries at 26 GHz. It develops a SISO system model and evaluates performance via simulations, comparing ideal and constrained IRS configurations. The results show approximately 4 dB SNR penalties for each constraint and about 8 dB when both are applied in height-offset deployments, while equal-height geometries mitigate degradation; nonetheless, a 32×32 column-wise binary IRS still achieves substantial SNR gains over no-IRS in most positions, offering a viable low-cost alternative. The work provides actionable guidelines on when simplified IRS architectures suffice and when full element-wise control remains necessary.

Abstract

Intelligent Reflecting Surfaces (IRS) promise low-power coverage extension, yet practical deployments must curb hardware complexity and control overhead. This paper quantifies the performance impact of two cost-saving measures, column-wise element grouping and 1-bit (binary) phase quantization, relative to the ideal fully-controlled, continuous-phase baseline. A single-input single-output link is simulated at 26 GHz (mmWave) across three deployment geometries that vary the relative heights of access point, IRS and user equipment. Results show that switching from continuous to binary phase control reduces median SNR gain by approximately 4 dB, while adopting column-wise grouping introduces a similar penalty; combining both constraints incurs approximately 8 dB loss under height-offset deployments. When all nodes share the same height, the degradation from column-wise control becomes negligible, indicating deployment geometry can offset control-granularity limits. Despite the losses, a 32 x 32 column-wise binary IRS still delivers double-digit SNR gains over the no-IRS baseline in most positions, confirming its viability for cost-constrained scenarios. The study provides quantitative guidelines on when simplified IRS architectures can meet link-budget targets and where full element-wise control remains justified.

Quantifying Geometry Effects on Low-Cost Intelligent Reflecting Surfaces

TL;DR

The paper analyzes how two cost-saving IRS designs—column-wise element grouping and 1-bit binary phase quantization—affect link-budget relative to an ideal continuous-phase IRS, across three realistic 3D deployment geometries at 26 GHz. It develops a SISO system model and evaluates performance via simulations, comparing ideal and constrained IRS configurations. The results show approximately 4 dB SNR penalties for each constraint and about 8 dB when both are applied in height-offset deployments, while equal-height geometries mitigate degradation; nonetheless, a 32×32 column-wise binary IRS still achieves substantial SNR gains over no-IRS in most positions, offering a viable low-cost alternative. The work provides actionable guidelines on when simplified IRS architectures suffice and when full element-wise control remains necessary.

Abstract

Intelligent Reflecting Surfaces (IRS) promise low-power coverage extension, yet practical deployments must curb hardware complexity and control overhead. This paper quantifies the performance impact of two cost-saving measures, column-wise element grouping and 1-bit (binary) phase quantization, relative to the ideal fully-controlled, continuous-phase baseline. A single-input single-output link is simulated at 26 GHz (mmWave) across three deployment geometries that vary the relative heights of access point, IRS and user equipment. Results show that switching from continuous to binary phase control reduces median SNR gain by approximately 4 dB, while adopting column-wise grouping introduces a similar penalty; combining both constraints incurs approximately 8 dB loss under height-offset deployments. When all nodes share the same height, the degradation from column-wise control becomes negligible, indicating deployment geometry can offset control-granularity limits. Despite the losses, a 32 x 32 column-wise binary IRS still delivers double-digit SNR gains over the no-IRS baseline in most positions, confirming its viability for cost-constrained scenarios. The study provides quantitative guidelines on when simplified IRS architectures can meet link-budget targets and where full element-wise control remains justified.

Paper Structure

This paper contains 7 sections, 4 equations, 11 figures.

Table of Contents

  1. Introduction
  2. Related Works
  3. System Model
  4. Ideal IRS
  5. Practical Constraints
  6. Simulation setup and Results
  7. Conclusion

Figures (11)

  • Figure 1: Three representative scenarios reflecting varied deployments, corresponding to environments such as homes, enterprises, and cellular small cells.
  • Figure 2: SNR heatmaps for 4 different IRS implementation approaches where AP, IRS and UE share the same height (scenario 1)
  • Figure 3: SNR CDF plot for 4 different IRS implementation approaches where AP, IRS and UE share the same height (scenario 1)
  • Figure 4: SNR heatmaps for 4 different IRS implementation approaches where AP, IRS and UE are located at heights of 2.5m, 2m and 1.5m. (scenario 2)
  • Figure 5: SNR CDF plot for 4 different IRS implementation approaches where AP, IRS and UE are located at heights of 2.5m, 2m and 1.5m. (scenario 2)
  • ...and 6 more figures