Suppose that there is a radiator (transmitter) transmitting a sinusoidal signal (s(t)) to a target. Due...
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Suppose that there is a radiator (transmitter) transmitting a sinusoidal signal (s(t)) to a target. Due to the existence of a reflector, the target receives two copies of the transmitted signal: a direct transmission and a reflected signal. Radiator drref Reflector (Xref Yref) dreft dre Target 01 x₁ = 0m y = 10 m Xref = 5 m Yref = 10 m x, changes. Y/t = 0m The received signal is the summation of these two copies which have different delays because of travelling different distances. Therefore, r(t) = s(t-t₂) + s(t-t₂) where s(t) = cos(3 x 10³rt) and for simplicity the propagation loss has been ignored. Assuming the locations of radiator and reflector are fixed, you can write the distance for the direct path (d₂ = d.,) and reflected path (d₂=drref + dreft) in terms of target's position x The amount of the delay (in seconds) for each path can be computed by dividing its distance by the speed of light (3 x 108 m/s). 1. Write a MATLAB script which does the following steps: a. Computes the transmitted signal s(t) for 0 < t ≤5T where T is the fundamental period of the signal. b. Computes the received signal r(t) when x, takes the following values: x = 0,2.5, 7.5, and 10 meters c. Generates a figure with 4 subplots. Each subplot includes s(t) and one of the received signals found in part b for 0 st ≤ 5T. Suppose that there is a radiator (transmitter) transmitting a sinusoidal signal (s(t)) to a target. Due to the existence of a reflector, the target receives two copies of the transmitted signal: a direct transmission and a reflected signal. Radiator drref Reflector (Xref Yref) dreft dre Target 01 x₁ = 0m y = 10 m Xref = 5 m Yref = 10 m x, changes. Y/t = 0m The received signal is the summation of these two copies which have different delays because of travelling different distances. Therefore, r(t) = s(t-t₂) + s(t-t₂) where s(t) = cos(3 x 10³rt) and for simplicity the propagation loss has been ignored. Assuming the locations of radiator and reflector are fixed, you can write the distance for the direct path (d₂ = d.,) and reflected path (d₂=drref + dreft) in terms of target's position x The amount of the delay (in seconds) for each path can be computed by dividing its distance by the speed of light (3 x 108 m/s). 1. Write a MATLAB script which does the following steps: a. Computes the transmitted signal s(t) for 0 < t ≤5T where T is the fundamental period of the signal. b. Computes the received signal r(t) when x, takes the following values: x = 0,2.5, 7.5, and 10 meters c. Generates a figure with 4 subplots. Each subplot includes s(t) and one of the received signals found in part b for 0 st ≤ 5T.
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Clearly d rt will be given as Similarly d ref will be the sum of d rref and d reft and therefore wil... View the full answer
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