3.1. Antenna Characterization Results
As a result of the experiment, the curve of the reflection coefficient as a function of frequency was plotted for both antennas, as shown in
Figure 12.
The graph highlights two significant minima around the frequencies of 381.45 MHz and 1.2 GHz, corresponding to the resonance frequencies of the tested antennas. At these points, the S11 values drop below −30 dB, indicating very good impedance matching and, consequently, minimal reflection losses. Additionally, both antennas exhibit similar behavior, which confirms the consistency of the construction and the measurement methodology.
The analysis of the graph suggests that the second resonance frequency, 1.2 GHz, offers wider bandwidth and can therefore be considered more suitable for the intended applications where broad spectral coverage is required. This observation will form the basis for choosing the central frequency in the following stages of the study.
The Voltage Standing Wave Ratio (VSWR), which was determined by both experimental and theoretical methods, is illustrated in
Figure 13.
Figure 13 presents the Voltage Standing Wave Ratio (VSWR) response of Antenna A and Antenna B, obtained experimentally with a Vector Network Analyzer (plot a) and calculated from the reflection coefficient S
11 in MATLAB (plot b). Although VSWR and S
11 convey equivalent information regarding the fraction of incident power reflected at the antenna feed, VSWR is frequently employed to define impedance-matching thresholds—in this case, VSWR ≤ 2 corresponds to |S
11| ≤ −10 dB. Both measured and calculated curves reveal two pronounced resonance minima at approximately 381 MHz and 1.20 GHz, confirming the dual-band nature of the design.
The experimental VSWR data exhibit minima of roughly 1.1 at 381 MHz and 1.2 at 1.20 GHz. Each resonant band maintains VSWR ≤ 2 over a contiguous frequency span of approximately 500 MHz—namely from about 130 MHz to 630 MHz in the lower band and from about 950 MHz to 1.45 GHz in the upper band. The close correspondence between the curves for Antenna A and Antenna B underscores the reproducibility of the fabrication process and the reliability of the measurement setup; only negligible deviations appear, primarily attributable to minor connector or cable mismatches.
The theoretical VSWR curves, derived in MATLAB from the simulated S11 values, align almost perfectly with the measured data. The locations of the VSWR minima and the extents of the VSWR ≤ 2 bands coincide with their experimental counterparts, thereby validating the accuracy of the electromagnetic model. The simulated response is marginally smoother, reflecting the idealized, lossless conditions assumed in the computational environment, whereas the measured curves include slight irregularities arising from real-world parasitic reflections and material losses.
The dual-band operation observed at 0.38 GHz and 1.20 GHz, each with a bandwidth of approximately 500 MHz under the VSWR ≤ 2 criterion, demonstrates that the antenna achieves excellent impedance matching to a 50 Ω feed line across two widely separated frequency ranges. This wide usable bandwidth affords considerable flexibility for multi-channel or multi-standard applications without requiring retuning.
Figure 14 provides a side-by-side comparison of the measured (solid lines) and calculated (dashed lines with square markers) VSWR responses for Antenna A (left) and Antenna B (right), allowing clear visualization of the fidelity between experiment and simulation.
For Antenna A, the two principal resonance minima—at approximately 381 MHz and 1.20 GHz—are reproduced almost identically in both the measured and calculated curves. The usable bandwidths (defined by VSWR ≤ 2) around these minima span roughly 500 MHz each, and the overlap between the solid and dashed traces confirms that the MATLAB-derived VSWR accurately predicts the antenna’s matching performance. Minor undulations appear in the measured curve above 2 GHz—particularly near 2.5 GHz—where small oscillations, likely arising from connector or cable reflections, introduce slight departures from the smoother simulated response. These deviations, however, remain well within acceptable limits and do not affect the antenna’s resonant behavior.
Antenna B exhibits equally strong correspondence between measurement and calculation. The two resonance dips occur at the same frequencies, and the square-marker curve closely follows the solid trace throughout the entire 0–3 GHz span. The breadth of the lower-band matching region (VSWR ≤ 2) below 1 GHz is marginally wider in the experimental data, which can be attributed to fabrication tolerances or subtle material variations. Yet, the calculated model still captures this effect with high accuracy.
Together, these comparisons demonstrate that the analytical procedure for deriving VSWR from S11 is both robust and reliable. The excellent agreement across both antennas and over a wide frequency range validates the underlying electromagnetic model and lends confidence to simulation-driven design and optimization in future antenna development.
The juxtaposition between measured and calculated VSWR curves for both Antenna A and Antenna B attests to the accuracy of the theoretical model, with resonance minima and ~500 MHz bandwidths in each band reproduced almost identically. The minor oscillations observed above 2 GHz can be attributed to residual laboratory parasitic, connector and cable reflections and instrumentation limits, yet these small deviations do not compromise the overall agreement. Consequently, the experimental results robustly validate the mathematical approach used to derive VSWR from S11, confirming its efficacy as a predictive tool for future simulation-driven antenna designs.
3.3. Propagation Models Results
In the first series of tests in the free space link model, the aim was to verify the classic inverse-square law in the antenna’s far-field (Fraunhofer) region by measuring the received power at a fixed transmit level of 10 dBm and a carrier frequency of 1.2 GHz. A stable continuous-wave source fed a calibrated half-wave dipole transmitting antenna, while a matched dipole receiver—mounted on a precision linear track—collected the power readings from 0.5 to 0.5 cm at each measurement at radial distances starting from 2 m out to 8 m. According to the Friis transmission formula, one expects that every time the separation doubles, the received power drops by approximately 6 dB.
Figure 17 illustrates the variation of received power (in dBm) as a function of the distance between the transmitting (Tx) and receiving (Rx) antennas, with values ranging from 0 to 8 m. The blue asterisks represent the measured values, while the red curve represents a polynomial fit, which corresponds to the Friis free-space path loss equation, implying that the received power is inversely proportional to the square of the distance.
Figure 17 also illustrates the relationship between received power and distance between the transmitting and receiving antennas. The measured values, shown as blue asterisks, follow the expected trend described by the red curve, which models the inverse square law of the Friis transmission equation. As the distance increases, the received power decreases, confirming the theoretical behavior of signal attenuation in free space. While the overall trend aligns well with the model, small deviations are visible—especially between 3 and 6 m—likely due to environmental influences such as multipath propagation, measurement uncertainty, or slight antenna misalignments. Despite these discrepancies, the general consistency between experimental data and theoretical predictions validates the accuracy of the setup and confirms the expected performance of the antenna system across various distances.
The calculated Fresnel and Fraunhofer boundary distances further support the validity of the measured data. For the given antenna setup, both regions converge at approximately 3.38 m, marking the transition point from the reactive near-field to the radiative far-field. Below this threshold, signal behavior is more susceptible to near-field effects, including reactive coupling and complex interference patterns, which may account for the slight anomalies observed in the measurements around 3 to 4 m. Beyond this limit, the measured power closely follows the theoretical free-space model, indicating that the antennas operate within the far-field region where the inverse square law becomes a reliable approximation. This alignment underscores the importance of considering electromagnetic field regions when analyzing antenna performance and confirms that the majority of measurements were conducted under appropriate far-field conditions.
Beyond approximately 5 m, the measured power begins to dip slightly below the ideal Friis curve. This extra loss can be attributed to practical, real-world factors: even with absorbers in place, small amounts of multipath or ground-bounce may persist; cable attenuation grows with length; and tiny misalignments become more impactful at lower signal levels. Such effects introduce additional path loss that diverges from the idealized inverse-square prediction.
Importantly, these deviations remain modest—in the order of a few decibels—which speaks to the robustness of our matching network, antenna geometry, and alignment procedure. In operational UAV links at longer ranges, engineers would typically add link margin by increasing transmit power, selecting antennas with higher gain, or further fine-tuning the impedance match to ensure reliable communication under these non-ideal conditions.
Another important result obtained from the experimental campaign is the plotting of the Influence of the Polarization curve, presented in
Figure 18.
As anticipated, even a slight misalignment in polarization leads to a significant drop in received power. Specifically, a 90° change in polarization results in a considerable 15 dBm decrease in received power. Hence, it can be seen that antennas have to be aligned properly and polarized for optimal performance.
Figure 19 illustrates the elevation radiation pattern of Antennas A and B, measured after rotating Antenna A by 90° relative to Antenna B. This setup was designed to assess the influence of the relative angle between antennas on received signal strength.
From the polar plot, a general decrease in received power is evident across most angles, confirming the expected behavior when antenna orientation is not aligned. Both radiation patterns exhibit a distinct directional profile, with signal strength primarily concentrated between 20° and 70°, and noticeable reductions beyond these angles. Antenna B (red curve) shows slightly stronger and broader radiation in certain elevation sectors compared to Antenna A (blue curve), which appears more concentrated and narrower in its main lobe.
The dip in signal amplitude, especially between 100° and 160°, reflects the impact of polarization mismatch and misalignment, as the antennas are no longer optimally oriented for maximal power transfer. Reinforcing the fact that antenna alignment and polarization are critical factors for achieving optimal performance.
In the second half of the graph, the two antennas exhibit a radiation pattern that closely mirrors the first half, demonstrating the expected symmetry in their polar response. This symmetry suggests that the antenna structures and their surrounding environments do not introduce significant distortion or asymmetry in the radiation behavior. While minor variations in amplitude can still be observed—particularly in the sidelobes—these differences are within acceptable limits and do not significantly affect the overall performance.
Overall,
Figure 19 demonstrates that even modest angular deviations between antennas can significantly affect the radiation pattern and received power, emphasizing the importance of precise orientation in UAV communication systems [
23].
Following the experiment conducted using the two-ray model, this configuration allowed the formation of both a direct wave and a ground-reflected wave. Under these conditions, the received power dropped significantly to −57.42 dBm. After the gaps were refilled with absorbers, the received power increased to −55.73 dBm.
Following the experiment,
Figure 20 presents the Influence of the Position of a Hole, while
Figure 21 illustrates the Influence of the Number of Holes.
Figure 20 shows the influence of the position of a single hole in the absorber arrangement on the received power level. The horizontal axis indicates the position (from “No hole” to “Row 9”), while the vertical axis represents the received power in dBm. It can be observed that the presence of a hole consistently decreases the received power compared to the case with no hole at all. However, the exact position of the hole matters, with Row 1 and Row 4 producing the lowest power values (around –57.5 to –58 dBm), suggesting stronger destructive interference due to multipath effects at those positions. In contrast, holes in Row 2, Row 5, and Row 7 resulted in higher received power, closer to −55 dBm, implying more constructive interference or a lesser impact of reflection phase shift at those locations. The relative difference between the highest and lowest received power values is 5.13%, highlighting the measurable impact that even small changes in absorber configuration can have on signal strength. These fluctuations underscore how signal phase interactions and wave propagation paths are highly sensitive to spatial changes in the environment.
Figure 21 evaluates the influence of the number of holes (i.e., signal paths created) on the received power. The
x-axis shows the number of open rows (holes) introduced, from 1 to 8, including the “Nothing” (fully covered) and “Everything” (all rows open) cases. The variation in received power is generally minor, staying between −55.5 dBm and −57.5 dBm, but there is a clear trend of increased signal fluctuation with more holes, consistent with multipath fading effects. Interestingly, opening all rows (“Everything”) did not result in the maximum loss, which indicates that signal components might partially reinforce depending on their phase. Still, setups with intermediate numbers of holes (e.g., 4 or 6) caused more significant signal drops, again illustrating that destructive interference is not necessarily proportional to the number of paths but rather their relative phase alignment. As also observed in the previous graph,
Figure 17, small structural or spatial changes can lead to measurable effects in signal reception. In this case, the relative difference between the highest and lowest received power is 2.72%, emphasizing the sensitivity of the system to environmental symmetry and wave superposition.
For the small-scale fading, we did the measurements outside the anechoic chamber. We placed the two antennas in the work environment next to the lab room marked by the black rectangles,
Figure 22.
We measured the received power during several different scenarios. Once we walked with several persons between the two antennas, we put two big closets between the two antennas. We also put the receiving antenna in another room to see the differences. We also moved with two metal plates between the two antennas.
In the first scenario involving people, three individuals participated, all with an average height of approximately 180 cm and normal body proportions. They moved at a walking pace between the transmitting and receiving antennas, simulating realistic human movement within indoor environments. Their presence introduced dynamic obstructions, resulting in fluctuating attenuation and multipath components.
In another scenario, we introduced two large wooden closets between the antennas. Each closet had dimensions of approximately 1.2 m in width and depth and 2.5 m in height. Due to their size and solid wooden construction, these objects created significant attenuation and partial signal blockage, offering insights into the effects of bulky furniture on radio propagation.
The metal plates used in the experiment were square-shaped aluminum sheets, each with a side length of approximately 1.5 m. These were held and moved manually between the antennas to deliberately introduce strong reflectors into the propagation path. Due to their size and conductive nature, the plates significantly altered the signal paths by creating additional reflections and attenuation.
Additionally, in one scenario, the receiving antenna was placed in an adjacent room, separated by a brick wall with a thickness of 8 cm. This barrier introduced additional attenuation and tested the ability of the signal to penetrate typical building materials.
These scenarios were designed to replicate realistic indoor propagation environments, where obstacles such as people, furniture, and walls can lead to multipath effects, signal absorption, and diffraction. The goal was to observe how the received power would vary under each condition, providing qualitative and quantitative insight into the signal degradation caused by environmental factors.
A graph was generated to see the difference between ideal propagation conditions and small-scale fading, as shown in
Figure 23. This graph represents the highest received power for each time step, highlighting the dynamic variations introduced by small-scale fading. The intentional disruption simulates real-world conditions. We measured 800 times each with a time step of 10 ms.
Together, these figures highlight the critical role of environmental geometry and obstacle placement in shaping UAV communication reliability, particularly in complex or semi-reflective environments where multipath effects dominate.
In our measurements, small-scale fading was assessed by capturing a dense time series of received-power samples at a fixed 5 m separation, with antennas aligned for clear line-of-sight (LOS). Because the LOS component dominates under these conditions, the received envelope follows a Rician distribution rather than a pure Rayleigh model. In other words, the Rician Probability Density Function (pdf) incorporates both the deterministic LOS contribution and the scattered multipath components. Mathematically, this pdf is given by [
24]:
where:
s is the non-centrality parameter (the magnitude of the LOS component),
σ is the scale parameter (the standard deviation of the scattered components), and
I0 is the modified Bessel function of the first kind and order zero.
A convenient way to characterize any Rician distribution is through its shape parameter
K, often called the Rician K-factor, which quantifies the ratio of the power in the dominant, line-of-sight component to the power in the scattered components. It is defined as [
25]:
which quantifies the ratio of direct-path power to scattered-path power. In our dataset, we first constructed a normalized histogram of the measured attenuation (in dB) at 5 m to visualize the empirical distribution. We then performed a maximum-likelihood fit of a Rician pdf to those samples, as shown in
Figure 24.
The resulting Rician fit has a mean envelope of 53.96 dB and a standard deviation equivalent to σdB = 5.57dB. From these parameters, we also computed a two-sigma confidence interval (approximately 95.5% coverage), which spans 42.82 dB to 65.11 dB of attenuation. The close agreement between the normalized histogram and the fitted Rician curve confirms that our small-scale fading channel at this distance is accurately described by a Rician model. The single outlier near 50 dB, visible in the histogram, is likely due to a transient multipath reflection during data collection but does not significantly alter the overall fit quality.
By fitting the Rician distribution and quantifying its K-factor, mean, and variance, we have fully characterized the small-scale fading statistics for our carbon-fiber monopole in a controlled LOS scenario. These statistics can now be used to inform link-budget margins for UAV-to-UAV communications in similar environments.