A certain radar has a range gate size of \(30 \mathrm{~m}\). Due to range gate straddle, the envelope of a received pulse can be approximated by a triangular spread over three range bins. A target is detected in range bin 90 . You need to find the exact target position with respect to the center of the range cell. (a) Develop an algorithm to determine the position of a target with respect to the center of the cell. (b) Assuming that the early, on, and late measurements are, respectively, equal to \(4 / 6,5 / 6\), and \(1 / 6\), compute the exact target position.