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Wave Crests

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  1. Wave Crests

  2. Heinrich Hertz

  3. Speed of Light Radio waves travel through space at a speed of approximately 300,000,000 meters per second. Electricity travels through a wire and light travels through fiber optics at a speed of approximately 200,000,000 meters per second.

  4. Electromagnetic Waves

  5. Range of Frequencies

  6. Traditional Classification of BandwidthsStill heard quite often, but less meaningful in today’s world.

  7. Usually we talk directly in terms of actual Bands used. Microwaves Television & FM Radio AM Radio 802.11b & 802.11g Wireless LANs Visible Light & X-Rays

  8. Calculating frequency and wavelength Example 1 A radio wave has a wavelength of 2 meters. Calculate the frequency in hertz. f = C l f (hertz) = 300,000,000 (meters/second) 2 meters (wavelength or l) f = 150,000,000 hertz (continued)

  9. Calculating frequency and wavelength Example 2 A radio wave has a frequency of 10,000,000 hertz. Calculate the wavelength in meters. Since we know the formula for calculating frequency, we can solve it for the wavelength as follows: l = C f l (meters) = 300,000,000 (meters/second) 10,000,000 (hertz) l = 30 meters

  10. Fourier’s Theorem Fourier's theorem states that any complex wave is the sum of a fundamental sine wave and its multiples (also called its harmonics). The same idea, but in more detail: Fourier's theorem states that any complex waveform is the sum of sinusoids (sine waves, the simplest kind of waveform). The complex waveform will be composed of a fundamental frequency of a sine wave, to which are added other sine waves of various amplitudes that are all multiples of the fundamental frequency.

  11. Fourier Example – Square Wave green: y = sin(x) + 0.333333 sin(3x) + 0.2 sin(5x) + 0.142857 sin(7x) pink + white + red + cyan yellow: y = sin(x) + 0.333333 sin(3x) + 0.2 sin(5x) pink + white + red blue: y = sin(x) + 0.333333 sin(3x) pink + white pink: y = sin(x)

  12. Wireless Transmission Systems Operational ModesSimplex, Half-duplex, Duplex

  13. Wireless transmission systems operate in one or more of the following three modes. 1 Simplex mode, where the transmission always travels in one direction from a transmitter to a receiver. 2 Half-duplex mode, where communications travel in both directions, but not at the same time. 3 Full-duplex mode, where the information travels over a radio link in both directions at the same time. Full-duplex mode requires two separate radio carriers operating on different frequencies.

  14. Radio frequency groups based upon their fundamental propagation characteristics: 1 Ground waves 2 Sky waves 3 Line of sight waves

  15. Radio Propagation Groups

  16. Radio Propagation Groups

  17. NOTE The frequency spreads of the three categories have some overlap. As an example, frequencies between 500 kHz and 1.5 MHz (the AM radio band) are classified as MF and exhibit some of the characteristics of both ground and sky waves under certain conditions.

  18. The advantages of ground waves are: 1 They can travel very long distances. 2 They are used by the military for communicating between land-based stations or aircraft and submarines. 3 Ground waves are dependable. They are relatively immune to atmospheric interference or propagation variations.

  19. The disadvantages of ground waves are: 1 They require very large antenna structures. 2 They are expensive. 3 They are limited in the amount of information (bits per second) they can carry. 4 Outside of military and government applications, there is no practical commercial wireless application for ground wave frequencies below 300 kHz.

  20. The advantages of sky waves are: 1 They support long distance communications with relatively modest transmitter power and antenna requirements. 2 They can be used for point-to-multipoint voice service or low-speed radio teletype services on a global scale. 3 They support an economical maritime safety communications service. 4 Sky wave propagation frequencies extend over a relatively large portion of the spectrum (3 MHz to 30 MHz or approximately 27 MHz of bandwidth).

  21. The disadvantages of sky waves are: 1 Sky wave propagation depends upon the ionosphere, which is not a stable medium. 2 The frequencies for sky waves are not suitable for carrying high-capacity data transmission circuits. 3 The sky wave frequencies are not suitable for most emerging wireless technologies such as cellular and wireless broadband applications.

  22. The advantages of line of sight waves are: 1 They have a limited range, which limits co-channel interference. 2 They can be limited to a very small transmission angle with parabolic antennas. 3 The have a huge spectrum (37 MHz to the currently highest useable frequencies), which can be used in multiple ways to carry large amounts of information.

  23. The disadvantages of line of sight waves are: 1 At some frequencies they are sensitive to atmosphere conditions, such as rain. 2 They require a large amount of equipment to cover a large area, such as multiple cell phone towers.

  24. Inverse Square Law

  25. Figure 4-19: Two Polar Plots

  26. Parabolic Antenna Gives a parallel direction to a transmission.

  27. Horn-Type Microwave AntennasPrimarily a telephone technology.

  28. Figure 5-7: 3-Sector Antenna Configuration

  29. Phase Array Antennas The square looking cell phone antenna is really an array of a large number of small antennae, all electronically controlled. They achieve a very tightly controlled cell telephone beam, that can be changed and re-directed dynamically..

  30. Phased Array Antennas Smart Antenna Cellular Applications

  31. Phase Array Antennas Multiple transmitters are electronically controlled so that a signal is beamed directionally because multiple copies of the signal are broadcast slightly out of phase. The multiple copies reinforce each other in some directions and interfere with each other in other directions.

  32. Tower Heightas determined by the curvature of the earth

  33. Example Antenna Heights

  34. Fresnel Zone

  35. Formula to calculate Fresnel zone height Where: D = distance between the antennas (miles) F = frequency (GHz)

  36. Free Space Loss Table 3-5: Free space path loss for IEEE 802.11b and 802.11g WLANs

  37. Radio Frequency Behavior: Loss Absorption Figure 3-18: Absorption

  38. Radio Frequency Behavior: Loss Scattering (sometimes called diffusion) Figure 3-20: Scattering

  39. Radio Frequency Behavior: Loss Reflection Figure 3-19: Reflection

  40. Ground Reflections

  41. Reflection – Physics Definitions Total Reflection Loss to scattering When the angle of incidence is so The difference between a mirrorshallow that refraction can’t occur. and a flat surface is the diffusion.

  42. Radio Frequency Behavior: Loss Refraction Figure 3-21: Refraction

  43. Refraction – Physics Definition The change in direction of a wave due to a change in its speed when a wave passes from one medium to another.

  44. Radio Frequency Behavior: Loss Diffraction Figure 3-22: Diffraction

  45. Diffraction – Physics Definition The bending, spreading and interference of waves passing by an object or through an aperture

  46. Radio Frequency Behavior: Loss Voltage Standing Wave Ratio Figure 3-23: VSWR

  47. Received Signal Power

  48. Effect of Raindrops on Propagation

  49. Multipath Interference

  50. Multipath Interference