Question

In: Electrical Engineering

1. (10 pts) A mobile receiver communicates with the transmitter at an operating frequency of 550...

1. (10 pts) A mobile receiver communicates with the transmitter at an operating frequency of 550 MHz at a distance of 3 km. Calculate the path loss in the system.

2. (15 pts) Assume that two antennas are half-wave dipoles and each has a gain of 3 dB. If the transmitted power is 1 W and the two antennas are separated by a distance of 10 km, what is the received power? Assume that the frequency is 100 MHz.

3. (10 pts) Show that doubling the transmission frequency or doubling the distance between transmitting antenna and receiving antenna reduces the received power by 6 dB.

Solutions

Expert Solution

Solution:-

=>1) Here we have Calculated the path loss in dB as shown below, by substituting the given values in the free space path loss or path loss formula.

2). The received power of an Antenna is calculated by using the Friis Transmission Equation. The received power is calculated in mW and dBm as shown below.

3)Here we consider the Friis Transmission Equation in dB and as per the question, we first double the frequency and then double the distance. The solution is shown below. When we double the frequency or double the distance we can see that the equation gets divided by 2 and when we solve it further we can see that there is a reduction of 6dB in received power.

In equation 2, we can see mathematical expression which shows that there is a reduction of 6dB.

Now, distance is doubled and the remaining parameters are same.

In equation 3, we can see mathematical expression which shows that there is a reduction of 6dB.

Hence, by doubling the transmission frequency or doubling the distance between transmitting antenna and receiving antenna reduces the received power by 6 dB.


Related Solutions

Construct the Transmitter and Receiver of a Frequency Hopping Spread Spectrum system. Also label and mention...
Construct the Transmitter and Receiver of a Frequency Hopping Spread Spectrum system. Also label and mention the purpose of each component.
How does frequency, power band, receiver, transmitter, RSSI, sensitivity, VSWR can related to IQ modulated signals...
How does frequency, power band, receiver, transmitter, RSSI, sensitivity, VSWR can related to IQ modulated signals applying binary and target search algorithms? Please also discuss about FPGA DDR and Banks work What is an envelope in signal?
When an airplane communicates with a satellite using a frequency of 1.535 X 10^9 Hz, the...
When an airplane communicates with a satellite using a frequency of 1.535 X 10^9 Hz, the signal received by the satellite is shifted highr by 207 Hz. (a) Is the airplane moving toward or away the satellite? Explain. (b) What is the component of the airplane's velocity toward or away from the satellite?
1. Explain how image frequency signals are received in a superheterodyne receiver? how can these signals...
1. Explain how image frequency signals are received in a superheterodyne receiver? how can these signals be rejected? ( Please explain in detail) 2. Why do some superheterodyne receivers use an RF stage while others do not? (please explain in detail)
McWherter Instruments sold $550 million of 10% bonds, dated January 1, on January 1, 2018. The...
McWherter Instruments sold $550 million of 10% bonds, dated January 1, on January 1, 2018. The bonds mature on December 31, 2037 (20 years). For bonds of similar risk and maturity, the market yield was 12%. Interest is paid semiannually on June 30 and December 31. Blanton Technologies, Inc., purchased $550,000 of the bonds as a long-term investment. (FV of $1, PV of $1, FVA of $1, PVA of $1, FVAD of $1 and PVAD of $1) (Use appropriate factor(s)...
1) Identify the class​ width for the given Frequency Distribution Table List -------------Frequency 10 to 14...
1) Identify the class​ width for the given Frequency Distribution Table List -------------Frequency 10 to 14 -------------27 15 to 19 -------------35 20 to 24 -------------14 25 to 29 --------------2 30 to 34 --------------4 35 to 39 --------------2 40 to 44 --------------1 2) Which measurement is the most accurate? Mode Mean Range Median
1 Larmor radius and gyration frequency (10 P) Calculate the Larmor radius and the gyration frequency...
1 Larmor radius and gyration frequency (10 P) Calculate the Larmor radius and the gyration frequency (4 P) for: 1. An electron in the Earth’s ionosphere at 300 km altitude, where the magnetic flux density is B ≈ 0.5 · 10−4 T, considering that the electron moves at the thermal velocity (p kT /m) with T = 1000 K. (1 P) 2. An oxygen ion O+ in the Earth’s ionosphere for the same conditions as above. Is there a difference...
1. (a) ( 10 pts) In ABC City, the length X of residence of a family...
1. (a) ( 10 pts) In ABC City, the length X of residence of a family in a home is normal with mean 80 months and variance 900. Using the table, find the probability that a family selected at random will have lived in ABC City at least eight years. (b) (5 pts) Using part (a) find the probability that of twelve independent families living in ABC City exactly three will have lived there at least eight years.
1. (10 pts) Define the nodes in the LinkedList. Create the LinkedList using the ListNode class....
1. (10 pts) Define the nodes in the LinkedList. Create the LinkedList using the ListNode class. Create a method to find a node with given value in a LinkedList. Return the value is this value exists in the LinkedList. Return null if not exists. Use these two examples to test your method. Example 1: Input: 1 -> 2 -> 3, and target value = 3 Output: 3 Example 2: Input: 1 -> 2 -> 3, and target value = 4...
(10 pts) For the following data: Group 1 Group 2 3 5 2 9 1 8...
(10 pts) For the following data: Group 1 Group 2 3 5 2 9 1 8 8 12 4 9 Calculate the following: SS1 SS2 SSD SD Sx1-x2
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT