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2 Radar range resolution: Consider a radar with pulse duration t p dv R R 1 R t-t p / => R = c ( t-t p /)/ t => R = ct/ t+t p / => R 1 = c ( t+t p /)/ Thus radar range resolution is where c is the speed of light. R 1 -R = ct p / = h/ [0.1] Problem: police pulsed speed-measuring radar must be able to resolve the returns from two cars separated by 10 m. Find the maximum pulse duration that can be used to prevent overlapping of the returns from the two vehicles. Ignore the Doppler effect. Solution: R 1 -R = 10 m thus t p = *10m/3*10 8 m/s = 6.67*10-7 s Polarizing Radar has four possible combinations of both transmit and receive polarizations as follows: HH - for horizontal transmit and horizontal receive, VV - for vertical transmit and vertical receive, HV - for horizontal transmit and vertical receive, and VH - for vertical transmit and horizontal receive.

3 Microwave bands commonly used in radar remote sensing: (see table 3.3) Ka, K, and Ku bands: very short wavelengths used in early airborne radar systems but uncommon today. X-band: used extensively on airborne systems for military terrain mapping. C-band: common on many airborne research systems (CCRS Convair-580 and NS irsr) and spaceborne systems (including ERS-1 and and RDRST). S-band: used on board the Russian LMZ satellite. L-band: used onboard merican SEST and Japanese JERS-1 satellites and NS airborne system. P-band: longest radar wavelengths, used on NS experimental airborne research system. Types of radars: Non-imaging: (altimeters and scatterometers) ltimeters (often nadir-looking) Operation principle: transmit short microwave pulses and measure the round trip time delay to targets to determine their distance from the sensor; pplications: used on aircraft for altitude determination and on aircraft and satellites for topographic mapping, sea surface height measurements from which wind speed can be estimated Example: ERS altimeter Figure. 0.1 Reflection of an altimeter pulse from a flat surface. s the pulse advances, the illuminated area grows rapidly from a point to a disk, as does the returned power. Eventually, an annulus is formed and the geometry is such that the annulus area remains constant as the diameter increases. The returned signal strength, which depends on the 3

4 reflecting area, grows rapidly until the annulus is formed, remains constant until the growing annulus reaches the edge of the radar beam, where it starts to diminish. t 0 t 0 +t p * t 0 =H/c t p *> t p t p is the duration of the pulse Example: TOPEX/Poseidon and Jason-1 radar altimeter: sea surface height (deviation from the mean in cm) 4

5 Scatterometers Operation principle: transmit microwave signal and measures the strength of the backscattering radiation (reflection); pplications: measurements of wind speed and wind direction over the oceans. Groundbased scatterometers are used extensively to accurately measure the backscatter from various targets in order to characterize different materials and surface types. Example: NS Quick Scatterometer (QuikSCT): Radar: 13.4 gigahertz; 110-watt pulse at 189-hertz pulse repetition frequency (PRF) ntenna: 1-meter-diameter rotating dish that produces two spot beams, sweeping in a circular pattern QuikSCT measurement capability: 1,800-kilometer swath during each orbit provides approximately 90-percent coverage of Earth's oceans every day. Wind-speed measurements of 3 to 0 m/s, with an accuracy of m/s; direction, with an accuracy of 0 degrees. Wind vector resolution of 5 km. 5

6 Imaging radars: Non-imaging sensors take measurements in one linear dimension, as opposed to the twodimensional representation of imaging sensors: Side-looking viewing geometry of imaging radar systems: The platform travels forward in the flight direction () with the nadir (B) directly beneath the platform. The microwave beam is transmitted obliquely at right angles to the direction of flight illuminating a swath (C). Range (D) refers to the acrosstrack dimension perpendicular to the flight direction, while azimuth (E) refers to the along-track dimension parallel to the flight direction. Synthetic perture Radar (SR) is used to acquire high resolution (~10m - 1km) images (see Lecture 4) Examples: ERS satellite, Canadian satellite Doppler weather radar is a ground-based system that measures both the amplitude and the phase of radar echoes (see Lecture 5).. Basic antenna parameters. ntenna is a structure which serves as a transition between wave propagating in free space and the fluctuating voltages in the circuit to which it is connected. 6

7 Basic antenna parameters (in free space): 1) Field pattern: 3-D quantities involving the variation of EM field or EM power as a function of the spherical coordinates θ and ϕ: power pattern P(θ, ϕ) (in W sr -1 ) and normalized power pattern: P n (θ, ϕ) = P(θ, ϕ) / P max (θ, ϕ) NOTE: the radiation pattern of an antenna is analogous to the scattered radiation pattern by a particle Figure 0. ntenna power pattern in polar coordinates and in rectangular coordinates NOTE: same name : Major lobe=main lobe = Main beam 7

8 Since the difference between the power transmitted by an antenna, P t (in W), and the power received from backscattering is typically several orders of magnitude, the received signal is expressed in Decibels (db): P P( in db) = 10 log [0.] P t ) ntenna gain is defined as the ratio of the intensity at the peak of the transmission pattern, I p, to an isotropic intensity that is derived assuming that the total power, P t (in W), is distributed equally in all direction R is the range. I p G = [0.3] P / 4πR t 3) Beam area (or beam solid angle) (in sr) is defined as Ω = ( θ, ϕ dω P n ) 4π The beam area is a solid angle through which all of the power radiated by the antenna would stream if P(θ, ϕ) maintained its maximum value over was zero elsewhere => Power radiated (in W) = P max (θ, ϕ) Ω Ω and [0.4] The beam area can be approximated by the product of the half-power beamwidths (HPBW, see Fig.0.) in two principal planes where Ω θ ϕ [0.5] θ HP is θ of the HPBW and ϕ HP is the ϕ of the HPBW. HP HP 4) Effective aperture, e, (in m ) is defined as where λ is the wavelength (in m) λ = Ω [0.6] e 8

9 5) Directivity, D, ( 1, dimensionless) is defined as the ratio of the maximum power to its average value: D = P max (θ, ϕ) / P av (θ, ϕ) Other expressions for the directivity D = Ω directivity from pattern [0.7] e D = 4π λ directivity from aperture [0.8] Friis transmission formula Consider a transmitting antenna of effective aperture et and receiving antenna with effective aperture er. The distance between the antennas is R. If transmitted power P t is radiated by an isotropic source, the power received per unit area at the receiving antenna if Pt F = 4πR [0.9] and the power available to the receiver is P r = F er [0.10] But the transmitting antenna has an effective aperture et and hence a directivity D (from Eq.[0.8]): D = 4π et λ Thus the power available to the receiver is D times greater 4π P et r = Fer D = Fer [0.11] λ Substituting Eq.[0.9] into Eq.[0.11] gives or P 4π P = [0.1] r t er et 4πR λ P r er = et [0.13] P R λ t 9

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