1. 1 Binary Signal Detection In MATLAB weve worked some with AWGN noise and the concept of bit error probability. Lets describe how this is measured.

2. 2 Binary Signal Detection

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7. 7 z has two meanings (either a 1 or a 2 ), depending on whether s 1 (t) or s 2 (t) was sent. z is sometimes called the test statistic.

8. 8 Binary Signal Detection z has two meanings (either a 1 or a 2 ), depending on whether s 1 (t) or s 2 (t) was sent. z is sometimes called the test statistic. Compare z to λ λ is the threshold level of the threshold comparator

9. 9 Binary Signal Detection z has two meanings (either a 1 or a 2 ), depending on whether s 1 (t) or s 2 (t) was sent. Compare z to λ λ is the threshold level of the threshold comparator H 1 z > λH 2 z < λ

10. 10 Binary Signal Detection z has two meanings (either a 1 or a 2 ), depending on whether s 1 (t) or s 2 (t) was sent. λ is the threshold level of the threshold comparator H 1 z > λH 2 z < λ

11. 11 Binary Signal Detection z has two meanings (either a 1 or a 2 ), depending on whether s 1 (t) or s 2 (t) was sent. λ is the threshold level of the threshold comparator H 1 z > λH 2 z < λ z is here Case 1

12. 12 Binary Signal Detection z has two meanings (either a 1 or a 2 ), depending on whether s 1 (t) or s 2 (t) was sent. λ is the threshold level of the threshold comparator H 1 z > λH 2 z < λ z is here Case 2

13. 13 Binary Signal Detection z has two meanings (either a 1 or a 2 ), depending on whether s 1 (t) or s 2 (t) was sent. λ is the threshold level of the threshold comparator H 1 z > λH 2 z < λ z is here Case 3