final_practice_2009

Final_practice_2009

Info iconThis preview shows page 1. Sign up to view the full content.

View Full Document Right Arrow Icon
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: ssed detection subject to the constraint that 0, otherwise the probability of false alarm PF A ≤ 1/4. 2y , 0 ≤ y ≤ 1 (c) Now suppose there is another hypothesis Hpy.H (Conditioned on H2 , the distribution of y is given by the 2 | y |H1 ) = 0, otherwise 2(1 − y ), 0 ≤ y ≤ 1 else p y |H2 ) decision rule. Compute the resulting probability of detection Specify(the MAP = 0 error. given graphically by (c) Now suppose there is another hypothesis, H2 . Conditioned on H2 , the distri(b) bution of y decision rule to minimize PM , subThatto the constraint that PF ≤ 1 . Specify the is given in the following figure ject is, 4 2 Py |H (y |H = 2) PSfrag replacements continued on the next page 1 4 0 yH Suppose that we can design a decision rule that can onlychoose),H0≤or≤ 1 1 (i.e. we are not allowed to choose H2 ) 2(1 − y py |H (y |H2)is = and suppose that the cost for deciding Hi when Hj true is Cij , with 0, otherwise C00 = C11 = 0, C01 = C10 = C02 = 1, C12 = 2 Suppose that we can design a decision rule that can only choose H0 or H1 (i.e., we are not allowed...
View Full Document

This note was uploaded on 01/08/2013 for the course ECE 531 taught by Professor Natasha during the Spring '10 term at Ill. Chicago.

Ask a homework question - tutors are online