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A flat Rayleigh fading signal at 6 GHz is received by a mobile traveling at 80 km/hr.

Determine the number of positive-going zero crossings about the rms value that occur over a 5 s interval.

User IvanHid
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Final answer:

The number of positive-going zero crossings about the rms value can be determined using the formula N = 2 * V * f * T, where V is the velocity of the mobile, f is the carrier frequency, and T is the time interval.

Step-by-step explanation:

In flat Rayleigh fading, a signal experiences random amplitude variations due to multipath propagation. The number of positive-going zero crossings about the rms value can be approximated by the formula:

N = 2 * V * f * T

Where N is the number of zero crossings, V is the velocity of the mobile (in m/s), f is the carrier frequency (in Hz), and T is the time interval (in seconds).

In this case, the velocity can be converted from km/hr to m/s by multiplying by 1000/3600. The carrier frequency is given as 6 GHz, which can be represented as 6 * 10^9 Hz. The time interval is given as 5 seconds. Plugging in these values into the formula, we can calculate the number of positive-going zero crossings.

User Stiin
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