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Problem 1
In this problem, consider a receiver whose detector has output statistics that are uniform rather than Rayleigh/Rice. Specifically, the detector output for noise alone is Rayleigh and signal + noise is shown in the figure below in terms of the noise power, β2, and signal amplitude A.
If the SNR is 3 dB,(a) Sketch Rayleigh pdf.(b) Calculate Pd and Pfa for a threshold setting Vt = 1.5β
(c) Sketch the ROC curve (Pd vs. Pfa)
Problem 2
Instead of a Swerling target model, assume a target fluctuates between two discrete RCS values: -10 dBsm and -20 dBsm. Calculate the probability of detection for a single pulse if the two RCS values are equally likely. The threshold is set for Pfa = 10-3. Assume that a -15 dBsm RCS corresponds to 10 dB SNR at the receiver output.
Draw a state diagram for an FSM (Moore machine) with no inputs and three outputs x, y, and z, where xyz should always exhibit the following sequence: 000, 001, 010, 100, repeat. Make 000 as the initial state.
ECET 402- Find the initial torque supplied to the antenna. What is the torque when the antenna gets to within 5° of its set point?
Use MATLAB to find, and to graph. the unit-sequence response of the system - Graph the magnitude and phase of the DTFT of x[n - 2].
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