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FIGURE 2.98
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Microwave motion sensor.
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of longer range, increased area of coverage, operation in hostile environments, and in applications where it is necessary to see through one medium (such as a cardboard box or the side of a nonmetallic tank) to sense the object on the other side. If the target is moving toward or away from the transceiver, there will be an audio-frequency (Doppler) signal out of the mixer diode that is proportional to the velocity of the target. The frequency of this signal is given by the formula: Fd = 2V (Ft/c) where Fd = Doppler frequency V = velocity of the target Ft = transmitted microwave frequency c = speed of light If the transmitted frequency is 10.525 GHz (the motion detector frequency), this equation simplifies to: Fd = 31.366 Hz V in miles/hour or Fd = 19.490 kHz V or Fd = 84.313 kHz V in furlongs/fortnight This assumes that the target is traveling directly at or away from the transceiver. If there is an angle involved, then the equation becomes Fd = 2V(Ft/c) cos in kilometers/hour
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FIGURE 2.99
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Angular velocity measurement.
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where is the angle between the transceiver and the line of movement of the target. Evidently, as the target is moving across the face of the transceiver, cos = 0, and the frequency is 0. If the angle is kept below 18 , however, the measured frequency will be within 5 percent of the center frequency (Fig. 2.99). Signal processing for this module must include amplification, a comparison network to shape the signal into logic levels, and a timing and counting circuit to either drive a display device or compare the frequency to certain limits. If more than one moving object is in the microwave field, it may be necessary to discriminate on the basis of amplitude or frequency bandwidth, limiting it to exclude unwanted frequencies. Velocities near 3 km/h and 6 km/h are also difficult to measure with this system since the corresponding Doppler frequencies are 60 and 120 Hz, which are prime interference frequencies from power lines and fluorescent fixtures. Extra shielding or isolation will be necessary in this case. False alarm rate may also be reduced by counting a specific number of cycles before triggering an output. This will actually correspond to the target moving a defined distance. Microwave sensors are well-suited for measuring the velocity of objects, which most other sensors cannot do directly. Inductive, photoelectric, and other sensors can measure radial velocity. For example, inductive photoelectric sensors measure radial velocity when configured as a tachometer, and if the rotating element is configured as a trailing wheel, then linear velocity can be defined. Photoelectric sensors can also be set up with appropriate signal processing to measure the time that a moving object takes to break two consecutive beams. This restricts the measurement to a specific location. Multiple beams would be needed to measure velocity over a distance, whereas a single microwave sensor could accomplish the same result. Aside from their use in police radars, microwave sensors can measure the speed of baseball pitches. These sensors have many industrial applications as well. Microwave sensors are an excellent means of closed-loop speed control of a relatively high-speed rotating shaft (3600 r/min). Other applications include autonomous-vehicle speed monitoring and independent safety monitoring equipment
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FIGURE 2.100 Velocity sensing module.
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for heavy and high-speed machine tools. Also, a microwave sensor will detect an overvelocity condition (Fig. 2.100). A microwave sensor, mounted on a tractor or other farm equipment to measure ground speed, will play an important role in reducing excessive distribution of seeds and fertilizer per acre. The ordinary wheel driven speedometer is not sufficiently accurate because of wheel slippage. Accurate speed measurement is necessary in these vehicles so seeds and fertilizer are spread at a specific rate by the accessory equipment. An over- or underestimate of the speed will result in the wrong density per acre.
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