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Appendix A Derivation of the Models

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For z < hmF2−ymF2, the refractive index is very close to unity, and thus dz. The total land area is given by the distance of the beam path in terms of the horizontal distance x, plus the horizontal distance of the path before entering and exiting the ionosphere. Outside the ionosphere, where the refractive index is very close to 1, the phase path is the same as the actual beam path distance.

The background phase path is defined as the phase path of a wave for an undisturbed ionosphere, where the refractive index is equal. Therefore, the path of the background phase within the ionosphere is obtained by evaluating the integral fromg = 0 to g =g1 given in (A.26). By substituting the expressions ofxand z in terms ofg, the turbulent phase path is ascertained by evaluating the integral.

Additional IPS Results

Harts Range to Lake Bennett

Signal fading behavior of separate propagation modes on the Harts Range to Lake Bennett route for ΔN = 10%. Polarization fading behavior of the 1-hop low beam propagation mode on the Harts Range to Lake Bennett path for ΔN = 10%. Spectrograms showing the time-spectral fading behavior of the 1-hop low beam propagation mode on the Harts Range to Lake Bennett path for ΔN = 10%.

Signal fading behavior of the total combined signal in the Harts range to Lake Bennett road for ΔN = 10%.

Figure B.1. Signal fading behaviour of the separate propagation modes in the Harts Range to Lake Bennett path for Δ N = 10%
Figure B.1. Signal fading behaviour of the separate propagation modes in the Harts Range to Lake Bennett path for Δ N = 10%

Laverton to Lake Bennett

Signal attenuation behavior of separate propagation modes on the Laverton to Lake Bennett route for ΔN = 10%. Polarization fading behavior of the 1-hop low beam propagation mode on the Laverton to Lake Bennett path for ΔN = 10%. Spectrograms showing the time-spectral fading behavior of the 1-hop low beam propagation mode on the Laverton to Lake Bennett path for ΔN = 10%.

Signal fading behavior of the total combined signal in the Laverton to Lake Bennett road for ΔN = 10%.

Figure B.5. Signal fading behaviour of the separate propagation modes in the Laverton to Lake Bennett path for Δ N = 10%
Figure B.5. Signal fading behaviour of the separate propagation modes in the Laverton to Lake Bennett path for Δ N = 10%

Elliptic-function low-pass filter

Calculations of the elliptic-function filter

Most prototype elliptic filters are tabulated in the following form: Cn ρ θ, where C denotes the Cauer elliptic filter, is the filter order, ρ is the reflection coefficient in percent, and θ is the modular angle in degrees. In order to increase the frequency bandwidth of the filter, the value of As was chosen to be 1.287, which is equal to the transition frequency offc = 24.87 MHz and. The reflection coefficient is converted to A(ρ) using the table in Figure C.2:. C.12) is used with Figure C.2 to find the smallest filter order that meets or exceeds the desired value at the required Ωs.

Figure C.2. Minimum elliptic-function filter order for the required attenuation.
Figure C.2. Minimum elliptic-function filter order for the required attenuation.

High Q Toroidal Inductors

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Antenna Equivalent Circuit

  • Calculation of Component Values
  • Circuit Simulations
  • Circuit Construction
  • Measurement Results

The calculation of the values ​​of the components in the circuit is formulated as a curve fitting problem. This means that by changing the value of the circuit components, the impedance profile in the frequency range from 5 to 20 MHz is matched to the impedance of the short dipole. Now R1 is a fixed resistor from the transformed source impedance of 50 Ω. The first step is to optimize the radiation resistance with the series resistance of the equivalent circuit:.

The values ​​of R2 and L1 that produce the optimized impedance are used to optimize the antenna reactance: The minimization algorithm used for the curve fitting exercise is the least squares method. The antenna equivalent circuit was produced for a short dipole antenna with element length ofl = 1.83 m, and diameter a= 4 mm, in the frequency range from 5 to 20 MHz.

The optimization algorithm was implemented in MATLAB and the final component values ​​are shown in Figure E.2. Note that the values ​​as shown are for each element of the short dipole antenna. The circuits that emulate each branch of the antenna element are fed from the source via a balun as shown in Figure E.3.

The simulation results showing the impedance of the antenna and the reflection coefficient of the circuit are shown in Figure E.4 and Figure E.5, respectively. Simulation results for the antenna simulation circuit in the frequency band from 5 to 20 MHz. a) Series resistance of the circuit. The resistance for R1 is transformed from the source impedance of 50 Ω using two series transformers.

The response is very similar to the simulated result, in that the series resistance increases with frequency, while the negative reactance decreases with frequency. The result shows that the antenna equivalent circuit has a similar impedance profile to that of a short dipole antenna over the specified frequency range of 5 to 20 MHz. It was used during measurement and testing of the active antenna circuit, to ensure that the active antenna circuit was loaded with the correct antenna impedance.

Figure E.1. Antenna equivalent circuit.
Figure E.1. Antenna equivalent circuit.

Additional Experimental Results

F.1 30 March 2005 Observations

Late Afternoon - 10.858 MHz

Signal attenuation behavior of individual propagation modes for the 44 kHz band at 10.858 MHz during the late afternoon period in both vertical and horizontal polarization. The temporal fading behavior over 450 seconds for the first and second modes obtained is shown in (a) and (c), respectively. Slow fading was observed for the first arrival mode, while the second arrival mode was affected by fast temporal fading.

Spectrograms showing the time-spectral fading behavior of individual propagation modes for the 44 kHz band at 10.858 MHz during the late afternoon period. They clearly show the rapid change in signal level for the second mode taken in the time dimension. Multipath signal fading behavior for the 44 kHz band at 10.858 MHz during the late afternoon period in both vertical and horizontal polarization.

Spectrograms showing the temporal-spectral multipath fading behavior for the 44 kHz band at 10.858 MHz during the late afternoon period.

Figure F.2. Signal fading behaviour of the separate propagation modes for the 44 kHz band at 10.858 MHz during the late afternoon period, in both vertical and horizontal  polarisa-tions
Figure F.2. Signal fading behaviour of the separate propagation modes for the 44 kHz band at 10.858 MHz during the late afternoon period, in both vertical and horizontal polarisa-tions

Sunset period - 10.858 MHz

Signal fading behavior of the separate propagation modes for the 46 kHz band at 10.677 MHz during the sunset period, in both vertical and horizontal polarizations. Spectrograms showing temporal-spectral fading behavior of the individual propagating modes for the 46 kHz band at 10.677 MHz during the sunset period. Vertical polarization for the first to fourth received modes are shown in (a), (c), (e) and (g), respectively.

Signal multipath fading behavior for the 46 kHz band at 10.677 MHz during the sunset period, in both vertical and horizontal polarizations. Spectrograms showing temporal-spectral multipath fading behavior for the 46 kHz band at 10.677 MHz during the sunset period.

Figure F.7. Signal fading behaviour of the separate propagation modes for the 46 kHz band at 10.677 MHz during the sunset period, in both vertical and horizontal polarisations.
Figure F.7. Signal fading behaviour of the separate propagation modes for the 46 kHz band at 10.677 MHz during the sunset period, in both vertical and horizontal polarisations.

F.2 31 March 2005 Observations

Sunset Period - 14.591 MHz

Spectrograms showing temporal-spectral fading behavior of the individual propagation modes for the 90 kHz band at 13.125 MHz at 18:18 local time on 31 March 2005. Signal multipath fading behavior for the 90 kHz band at 13.125 MHz at 18:18 local time on March 31, 2005, in both vertical and horizontal polarizations. Spectrograms showing temporal-spectral multipath fading behavior for the 90 kHz band at 13.125 MHz at 18:18 local time on March 31, 2005.

The propagation of radio waves - The theory of low power radio waves in the ionosphere and magnetosphere. The propagation of radio waves along the earth's surface and in the atmosphere. Fading of remote radio signals and a comparison of spatial and polarization diversity reception in the range 6-18 mc/s.

Doppler shifts and Faraday rotation of radio signals in a time-varying, inhomogeneous ionosphere - part i. Doppler shifts and Faraday rotation of radio signals in a time-varying, inhomogeneous ionosphere - part ii. A scintillation theory of fading of HF waves returning from the f-region: receiver near transmitter.

Hf propagation in a broadband ionospheric fluctuating reflection channel: Physically based software simulator of the channel. InEighth International Conference on HF Radio Systems and Techniques, number 474 in Conference Publication, pages 249–256. InSeventh International Conference on HF Radio Systems and Techniques, number 441 in Conference Publication, pages 1–5.

Synthesis of oblique ionograms from vertical ionograms using quasi-parabolic segment models of the ionosphere. Geomagnetic control of the spectrum of traveling ionospheric disturbances based on data from a global GPS network.

Figure F.12. Signal fading behaviour of the separate propagation modes for the 90 kHz band at 13.125 MHz at 18:18 local time on 31st March 2005
Figure F.12. Signal fading behaviour of the separate propagation modes for the 90 kHz band at 13.125 MHz at 18:18 local time on 31st March 2005

Gambar

Figure A.1. Geometry of the ray path of a wave propagating through the ionosphere. h mF 2 is the height of the peak electron density and y mF 2 is the semi-thickness of the parabolic layer .
Figure B.1. Signal fading behaviour of the separate propagation modes in the Harts Range to Lake Bennett path for Δ N = 10%
Figure B.2. Polarisation fading behaviour of the 1-hop low-ray propagation mode in the Harts Range to Lake Bennett path for Δ N = 10%
Figure B.3. Spectrograms showing temporal-spectral fading behaviour of the 1-hop low-ray prop- prop-agation mode in the Harts Range to Lake Bennett path for Δ N = 10%
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