1.2.1 The Echo Principle
An object (normally referred to as a target) is detected by the transmission of radio energy as a pulse or otherwise, and the subsequent reception of a fraction of such energy (the echo) which is reflected by the target in the direction of the transmitter. The phenomenon is analogous to the reflection of sound waves from land formations and large buildings. Imagine somebody giving a short sharp shout through cupped hands to focus the sound energy. The sound wave travels outwards and some of it may strike, for example, a cliff. Some of the energy which is intercepted will be reflected by the cliff. If the reflected energy returns in the direction of the caller, and is of sufficient strength, it will be heard as an audible echo, resembling the original shout. In considering this analogy, the following points can usefully assist in gaining a preliminary understanding of pulse radar detection:
A. The echo is never as loud as the original shout.
B. The chance of detecting an echo depends on the loudness and duration of the shout.
C. Short shouts are required if echoes from close targets are not to be drowned by the original shout.
D. A sufficiently long interval between shouts is required to allow time for echoes from distant targets to return.
E. It can be more effective to cup oneâs hands over the mouth when shouting and put a hand to the ear when listening for the echo.
Now considering radar, its basic building blocks are illustrated diagrammatically in Figure 1.1. The antenna is used both to transmit the signal and to receive its reflection. On transmit, the antenna is acting very much like the cupped hand, focussing the energy in a particular direction. On receive it is acting more like a hand to the ear, collecting more received energy from that direction. The transmitter has a similar role to that of the mouth and vocal chords of the shouter, and the radar receiver acts as the ear. The processor clarifies the received signal and judges its distance, perhaps somewhat similar to what a trained human brain can do in identifying and assessing a received sound wave. Finally the radar displays the information to a human operator, perhaps analogous to a human writing down the estimated range and direction of the object producing the echo.
Figure 1.1 The basic radar system.
The antenna of a marine radar rotates steadily in the horizontal plane giving a complete rotation about every 2 s. This means that radar pulses consecutively cover all directions over 360° at each rotation of the antenna. The speed of radio waves is so high, about one million times greater than sound waves, that the antenna receives all the reflected energy from a particular transmitted pulse before it has appreciably rotated.
1.2.2 Range as a Function of Time
It is self-evident that the time which elapses between the transmission of a pulse and the reception of the corresponding echo depends on the speed of the pulse and the distance which it has travelled in making its two-way journey. If the speed of the pulse is known and the elapsed time can be measured, the range of the target producing the echo can be calculated.
The velocity of radio waves is dependent on the nature of the medium through which they travel. In fact, within the Earthâs atmosphere it is hardly different to that within a space-type vacuum, that is 299,792,458 m/s. In our own minds this is easiest to be considered to be almost precisely 300,000,000 (three hundred million) metres per second, or as 300 metres per microsecond (”s), where 1 ”s represents one millionth part of a second (i.e. 10â6 s). Using this value it is possible to produce a simple general relationship between target range and the elapsed time which separates the transmission of the pulse and the reception of an echo in any particular case (Figure 1.2).
Figure 1.2 The echo principle.
Let D=the distance travelled by the pulse to and from the target (metres)
R=the range of the target (m)
T=the elapsed time (”s)
S=the speed of radio waves (m/”s)
Then D=SĂT
and R=(SĂT)/2
hence R=(300ĂT)/2
thus R=150T
The application of this relationship can be illustrated by the following example.
Example 1.1
Calculate the elapsed time for a pulse to travel to and return from a radar target whose range is (a) 40 m (b) 12 nautical miles (NM).
a. R=150T
thus 40=150T
hence T=40/150â0.27”s
This value is of particular interest because 40 m represents the minimum detection range that must be achieved to ensure compliance with IMO Performance Standards for Radar Equipment (see Section 11.2.1). While this topic will be fully explored in Section 3.2.4, it is useful at this stage to note the extremely short time interval within which transmission and reception must be accomplished.
b. R=150T
Since 1 NM=1852 m,
12Ă1852=150T
hence T=12Ă1852/150=148.16 ”s
This result is noteworthy as it represents the elapsed time for a commonly used marine radar range scale. The elapsed times established in this section are of the order of millionths of a second and therefore need special instrumentation to be able to measure them accurately. In the early days of radar this was cutting-edge technology, but with the advent of quartz timing technology, and fast microelectronics it is no longer a major issue. Such technology is low cost, accurate and ubiquitous, with most humans owning multiple examples of precision timing in their watches, mobile phones, computers, TVs and cars.
1.2.3 Directional Transmission and Reception
In a marine radar system it is cost and space effective to use a single antenna for both transmission and reception. It is designed in such a way (see Section 2.5) as to focus the transmitted energy into a beam which is very narrow in the horizontal plane. The angle within which the energy is constrained is called the horizontal beamwidth (Figure 1.3). It must have a value of not more than 2.0° if it is to comply with the international regulations which govern marine radar. Civil marine radars for large ships are available with horizontal beamwidths as narrow as 0.75°. The equivalent reception property of the antenna is such that it will detect energy which has returned from within the angular limits of the horizontal beamwidth; that is from those targets that have been illuminated by the corresponding radar transmission. Its insensitivity to picking up unwanted noise from other directions effectively increases its ability to detect the reflected echoes.
Figure 1.3 The horizontal beam width.
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