Problem 4 (10 Points): Consider a MIMO radar consisting of uniform linear antenna array Me M. = 3 antennas. The spacing

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Problem 4 10 Points Consider A Mimo Radar Consisting Of Uniform Linear Antenna Array Me M 3 Antennas The Spacing 1 (62.99 KiB) Viewed 43 times

Problem 4 (10 Points): Consider a MIMO radar consisting of uniform linear antenna array Me M. = 3 antennas. The spacing between antennas is d = 1, where ) is the wavelength . For simplicity, assume that the same array is used to transmit and receive signals. The carrier frequency is fo=3 GHz and a point target is located at an angle 0 = 40° with respect to normal to the array aperture. The distance between the target and reference antenna of the array is Rs(0) is 40 Km. The signal transmitted by radar at time-instant n is given by a column vector x(n) of length Me. a) Calculate the steering vector a(O) - (3 Points) b) Assume target reflectivity coefficient is B and noise vector at the receiver is v(n). Give an expression for the received signal y(n). - (2 Points) Now assume that there are K targets with reflectivity coefficients {Bx}K_1. Assume noise vector at the receiver is v(n). c) Give an expression for the received signal y(n). - (1 Point) d) Give an expression for the normalized covariance matrix Ryy if N = 1000 samples are used. - (2 Points) -10° and e) Explain the steps that you need to use to estimate targets having angles 01 42 = 10°. - (2 Points)