An FM broadcast receiver in a car is tuned to a radio station at a frequency...

 

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An FM broadcast receiver in a car is tuned to a radio station at a frequency of 100 MHz. The vehicle is traveling at a speed of 30 km/h in an urban area. You can assume there is no direct line of sight to the transmitter and the angle-of-arrival distribution is uniform. The mean signal level is -70 dBm. The FM receiver output has unacceptable quality (has a low SNR or "fades") when the signal level is below -85dBm. (a) What fraction of the time is the signal level acceptable? (b) How often does the signal "fade"? (c) What is the mean duration of each such fade? An FM broadcast receiver in a car is tuned to a radio station at a frequency of 100 MHz. The vehicle is traveling at a speed of 30 km/h in an urban area. You can assume there is no direct line of sight to the transmitter and the angle-of-arrival distribution is uniform. The mean signal level is -70 dBm. The FM receiver output has unacceptable quality (has a low SNR or "fades") when the signal level is below -85dBm. (a) What fraction of the time is the signal level acceptable? (b) How often does the signal "fade"? (c) What is the mean duration of each such fade?

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