## Line Chart: GoA vs. Number of Plane Waves ### Overview The image is a line chart comparing the GoA (Gain over Average) in decibels (dB) for Multi-Harmonics (500Hz) and White Noise as the number of plane waves increases. The x-axis represents the number of plane waves, ranging from 0 to 20. The y-axis represents the GoA in dB, ranging from -30 to 0. ### Components/Axes * **Title:** There is no explicit title on the chart. * **X-axis:** * Label: "Number of Plane Waves" * Scale: 0 to 20, with tick marks at every 2 units (0, 2, 4, 6, 8, 10, 12, 14, 16, 18, 20). * **Y-axis:** * Label: "GoA (dB)" * Scale: -30 to 0, with tick marks at every 5 units (-30, -25, -20, -15, -10, -5, 0). * **Legend:** Located in the top-right corner. * Blue line with circle markers: "Multi-Harmonics (500Hz)" * Red line with star markers: "White Noise" ### Detailed Analysis * **Multi-Harmonics (500Hz) - Blue Line:** * Trend: The GoA decreases as the number of plane waves increases. The decrease is steeper initially and then becomes more gradual. * Data Points: * 1 Plane Wave: Approximately -4 dB * 2 Plane Waves: Approximately -7 dB * 4 Plane Waves: Approximately -12 dB * 8 Plane Waves: Approximately -17 dB * 16 Plane Waves: Approximately -25 dB * 20 Plane Waves: Approximately -26 dB * **White Noise - Red Line:** * Trend: The GoA decreases as the number of plane waves increases, but the decrease is less steep compared to Multi-Harmonics. * Data Points: * 1 Plane Wave: Approximately -6 dB * 2 Plane Waves: Approximately -7 dB * 4 Plane Waves: Approximately -10 dB * 8 Plane Waves: Approximately -14 dB * 16 Plane Waves: Approximately -19 dB * 20 Plane Waves: Approximately -22 dB ### Key Observations * Both Multi-Harmonics and White Noise show a decrease in GoA as the number of plane waves increases. * The Multi-Harmonics signal experiences a more significant drop in GoA compared to White Noise, especially in the initial range of plane waves (1-8). * As the number of plane waves increases beyond 16, the rate of decrease in GoA for both signals appears to slow down. ### Interpretation The chart illustrates how the Gain over Average (GoA) changes for Multi-Harmonics (500Hz) and White Noise as the number of plane waves used in the simulation or measurement increases. The decreasing GoA suggests that as more plane waves are considered, the overall gain relative to the average decreases, potentially indicating a more diffuse or less focused signal. The steeper decline in GoA for Multi-Harmonics compared to White Noise suggests that the Multi-Harmonics signal is more sensitive to the number of plane waves. This could be due to the specific frequency content and structure of the Multi-Harmonics signal, which might be more affected by interference or phase cancellation as more plane waves are introduced. The data implies that using a smaller number of plane waves might be preferable for maintaining a higher GoA, especially for Multi-Harmonics signals. However, the choice of the optimal number of plane waves would depend on the specific application and the desired trade-off between GoA and other factors like spatial resolution or computational cost.

\n ## Chart: GoA(dB) vs. Number of Plane Waves for Multi-Harmonics and White Noise ### Overview The image presents a line graph comparing the Gain-over-Amplitude (GoA) in decibels (dB) for two signal types – Multi-Harmonics (500Hz) and White Noise – as a function of the Number of Plane Waves. The graph illustrates how the GoA decreases for both signal types as the number of plane waves increases. ### Components/Axes * **X-axis:** Number of Plane Waves, ranging from 0 to 20, with markers at integer values. * **Y-axis:** GoA (dB), ranging from -30 dB to 0 dB, with markers at 5 dB intervals. * **Legend:** Located in the top-right corner. * Blue line with circle markers: Multi-Harmonics (500Hz) * Red line with cross markers: White Noise * **Gridlines:** Present to aid in reading values. ### Detailed Analysis **Multi-Harmonics (500Hz) - Blue Line:** The blue line exhibits a consistent downward trend, indicating a decrease in GoA as the number of plane waves increases. * At 0 Plane Waves: Approximately -1.5 dB. * At 2 Plane Waves: Approximately -6 dB. * At 4 Plane Waves: Approximately -11 dB. * At 6 Plane Waves: Approximately -16 dB. * At 8 Plane Waves: Approximately -20 dB. * At 10 Plane Waves: Approximately -23 dB. * At 12 Plane Waves: Approximately -25 dB. * At 14 Plane Waves: Approximately -26 dB. * At 16 Plane Waves: Approximately -26 dB. * At 18 Plane Waves: Approximately -26 dB. * At 20 Plane Waves: Approximately -27 dB. **White Noise - Red Line:** The red line also shows a downward trend, but it is less steep than the blue line. * At 0 Plane Waves: Approximately -3 dB. * At 2 Plane Waves: Approximately -7 dB. * At 4 Plane Waves: Approximately -10 dB. * At 6 Plane Waves: Approximately -13 dB. * At 8 Plane Waves: Approximately -15 dB. * At 10 Plane Waves: Approximately -17 dB. * At 12 Plane Waves: Approximately -19 dB. * At 14 Plane Waves: Approximately -21 dB. * At 16 Plane Waves: Approximately -22 dB. * At 18 Plane Waves: Approximately -23 dB. * At 20 Plane Waves: Approximately -24 dB. ### Key Observations * The Multi-Harmonics signal consistently exhibits a higher GoA than White Noise across all tested numbers of plane waves. * The rate of GoA decrease is more pronounced for Multi-Harmonics than for White Noise. * Both signals show diminishing returns in GoA reduction as the number of plane waves increases beyond 16. ### Interpretation The data suggests that increasing the number of plane waves reduces the GoA for both Multi-Harmonics and White Noise signals. This could be due to increased interference and signal cancellation as more waves are introduced. The higher GoA for Multi-Harmonics indicates that this signal is less susceptible to reduction by increasing the number of plane waves compared to White Noise. This difference could be attributed to the coherent nature of the Multi-Harmonics signal versus the random nature of White Noise. The flattening of the curves at higher plane wave numbers suggests a limit to the effectiveness of this technique for GoA reduction. The graph demonstrates a trade-off between the number of plane waves and the resulting GoA, and the optimal number of plane waves would depend on the specific application and desired GoA level.

## Line Graph: Comparison of Multi-Harmonics (500Hz) and White Noise Attenuation ### Overview The graph compares the attenuation of two noise types—Multi-Harmonics (500Hz) and White Noise—as a function of the number of plane waves. Both lines show a downward trend in Gain (GoA) in decibels (dB), but with distinct rates of decline. ### Components/Axes - **X-axis**: "Number of Plane Waves" (0–20, increments of 2). - **Y-axis**: "GoA (dB)" (-30 to 0, increments of 5). - **Legend**: Located in the top-right corner. - Blue line with open circles: "Multi-Harmonics (500Hz)". - Red line with star markers: "White Noise". ### Detailed Analysis 1. **Multi-Harmonics (500Hz)**: - Starts at approximately **-5 dB** at 1 plane wave. - Declines steeply to **-25 dB** by 15 plane waves. - Stabilizes near **-25 dB** for 17–20 plane waves. - Data points: (1, -5), (3, -10), (5, -15), (7, -20), (9, -22), (11, -24), (13, -25), (15, -25), (17, -25), (19, -25), (20, -25). 2. **White Noise**: - Begins at **-5 dB** at 1 plane wave. - Declines gradually to **-25 dB** at 20 plane waves. - Data points: (1, -5), (3, -8), (5, -10), (7, -12), (9, -14), (11, -16), (13, -18), (15, -20), (17, -22), (19, -24), (20, -25). ### Key Observations - **Steeper Initial Decline**: Multi-Harmonics attenuates faster than White Noise in the early range (1–10 plane waves). - **Convergence at High Plane Waves**: Both noise types stabilize near -25 dB beyond 15 plane waves. - **Red Line Consistency**: White Noise maintains a nearly linear decline until the final data point. ### Interpretation The graph demonstrates that Multi-Harmonics (500Hz) noise is more sensitive to the number of plane waves, exhibiting rapid attenuation initially. This suggests that Multi-Harmonics may be more susceptible to destructive interference or cancellation effects when multiple plane waves are introduced. In contrast, White Noise attenuates more gradually, indicating a less pronounced dependency on plane wave count. The convergence at higher plane wave counts implies diminishing returns in noise reduction for both types beyond a critical threshold (~15 plane waves). This could inform noise mitigation strategies in systems where plane wave configurations are adjustable.