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min p log p +2qlog q
subject to p+q = 1
min p log P + q log q
subject to p+q =1
i. Solve the primal problem directly
ii. Obtain the dual problem and solve it. Verify it gives the same answer as the primal problem.
iii. By doing an internet search or looking up textbooks, explain why this problem would be
called an “entropy maximisation” problem.
min x^2 + y^2
Subject to x+2y >= 1
Submit your answer by mutiplying the answers (a)*(b)*(c) = _______.
H(z)=(1-2z^(-1)+2z^(-2)-z^(-3))/((1-z^(-1))(1-0.5z^(-1))(1-0.2z^(-1))) , ROC:0.5|z|>1
Sketch the pole – zero plots. Is the system stable?
Determine the impulse response of the system.