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The total thermal noise referred to the receiver input modulates the incoming carrier in amplitude and in phase. The rf limiter circuit (often referred to as an instantaneous or hard limiter) following the IF amplifier removes the amplitude modulation, leaving only the phase-modulation component of the noise. The limiter is an amplifier designed to operate as a class A amplifier for small signals. With large signals, positive excursions are limited by the saturation characteristics of the transistor (which is operated at a low collector voltage), and negative excursions generate a self-bias which drives the transistor into cutoff. Although the signal is severely distorted by this action, a tuned circuit in the output selects the FM carrier and its sidebands from the distorted signal spectrum, and thus the constant amplitude characteristic of the FM signal is restored. This is the amplitude-limiting improvement referred to previously. Only the noise phase modulation contributes to the noise at the output of the demodulator. Amplitude limiting is also effective in reducing the interference produced by impulse-type noise, such as that generated by certain types of electrical machinery. Noise of this nature may be picked up by the antenna and superimposed as large amplitude excursions on the carrier, which the limiter removes. Limiting also can greatly alleviate the interference caused by other, weaker signals which occur within the IF bandwidth. When the limiter is either saturated or cut off by the larger signal, the weaker signal has no effect. This is known as limiter capture (see Young, 1990).

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If the graph is weighted then the numbers represent the length of the connections (like in roads) We will do the same and represent our maze as an array of connections This will allow the algorithm to gure out how to go from one place to another using this connectivity array The graph array will be generated automatically from the array Maze[ ] The elements in each row of the array represent the nodes that have a direct connection to the node with the same number as the row So, for instance, if you look at row 2 you know that from node 2 you can go directly to nodes 1 and 3, but not node 4 In this example there is no connection from the node to itself (in other scenarios this may not be the case).

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When considering bandwidth, it should be kept in mind that the word is used in a number of contexts. Signal bandwidth is a measure of the frequency spectrum occupied by the signal. Filter bandwidth is the frequency range passed by circuit filters. Channel bandwidth refers to the overall bandwidth of the transmission channel, which in general will include a number of filters at different stages. In a well-designed system, the channel bandwidth will match the signal bandwidth. Bandwidth requirements will be different at different points in the system. For example, at the receiver inputs for C-band and Ku-band satellite systems, the bandwidth typically is 500 MHz, accommodating

12 transponders as described in Sec. 7.7. The individual transponder bandwidth is typically 36 MHz. In contrast, the baseband bandwidth for a telephony channel is typically 3.1 kHz. In theory, the spectrum of a frequency-modulated carrier extends to infinity. In a practical satellite system, the bandwidth of the transmitted FM signal is limited by the intermediate-frequency amplifiers. The IF bandwidth, denoted by BIF, must be wide enough to pass all the significant components in the FM signal spectrum that is generated. The required bandwidth is usually estimated by Carson s rule as BIF 2s F FMd (9.1)

You can see that the array is a true representation of the diagram below it In summary, if Graph[I,J] 1 we know there is a direct path from node I to node J, if it is 0 it means that there is no direct path..

where F is the peak carrier deviation produced by the modulating baseband signal, and FM is the highest frequency component in the baseband signal. These maximum values, F and FM, are specified in the regulations governing the type of service. For example, for commercial FM sound broadcasting in North America, F 75 kHz and FM 15 kHz. The deviation ratio D is defined as the ratio D F FM (9.2)

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