1 Binary Signal Detection In MATLAB weve worked some with AWGN noise and the concept of bit error...
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Transcript of 1 Binary Signal Detection In MATLAB weve worked some with AWGN noise and the concept of bit error...
![Page 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.](https://reader036.fdocuments.net/reader036/viewer/2022082917/55150c7c550346a87d8b48a8/html5/thumbnails/1.jpg)
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Binary Signal Detection
In MATLAB we’ve worked some with AWGN noise and the concept of bit error probability. Let’s describe how this is measured.
![Page 2: 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.](https://reader036.fdocuments.net/reader036/viewer/2022082917/55150c7c550346a87d8b48a8/html5/thumbnails/2.jpg)
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Binary Signal Detection
![Page 3: 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.](https://reader036.fdocuments.net/reader036/viewer/2022082917/55150c7c550346a87d8b48a8/html5/thumbnails/3.jpg)
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Binary Signal Detection
)(tsi 1 logicfor Tt0 )(1 ts{ 0 logicfor T t0 )(2 ts
![Page 4: 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.](https://reader036.fdocuments.net/reader036/viewer/2022082917/55150c7c550346a87d8b48a8/html5/thumbnails/4.jpg)
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Binary Signal Detection
)(tsi 1 logicfor Tt0 )(1 ts{ 0 logicfor T t0 )(2 ts
Tt 0 2 1, i )()()( tntstr i
![Page 5: 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.](https://reader036.fdocuments.net/reader036/viewer/2022082917/55150c7c550346a87d8b48a8/html5/thumbnails/5.jpg)
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Binary Signal Detection
)(tsi 1 logicfor Tt0 )(1 ts{ 0 logicfor T t0 )(2 ts
Tt 0 2 1, i )()()( tntstr i
2 ,1 )()()( 0 iTnTaTz i
![Page 6: 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.](https://reader036.fdocuments.net/reader036/viewer/2022082917/55150c7c550346a87d8b48a8/html5/thumbnails/6.jpg)
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Binary Signal Detection
2 ,1 )()()( 0 iTnTaTz i
2 1, i 0 naz i
![Page 7: 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.](https://reader036.fdocuments.net/reader036/viewer/2022082917/55150c7c550346a87d8b48a8/html5/thumbnails/7.jpg)
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Binary Signal Detection
2 ,1 )()()( 0 iTnTaTz i
2 1, i 0 naz i
z has two meanings (either a1 or a2), depending on whether s1(t) or s2(t) was sent.
z is sometimes called the test statistic.
![Page 8: 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.](https://reader036.fdocuments.net/reader036/viewer/2022082917/55150c7c550346a87d8b48a8/html5/thumbnails/8.jpg)
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Binary Signal Detection
z has two meanings (either a1 or a2), depending on whether s1(t) or s2(t) was sent.
z is sometimes called the test statistic.
Compare z to λ ↓
λ is the threshold level of the threshold comparator
![Page 9: 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.](https://reader036.fdocuments.net/reader036/viewer/2022082917/55150c7c550346a87d8b48a8/html5/thumbnails/9.jpg)
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Binary Signal Detection
z has two meanings (either a1 or a2), depending on whether s1(t) or s2(t) was sent.
Compare z to λ ↓
λ is the threshold level of the threshold comparator
H1 z > λ H2 z < λ
![Page 10: 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.](https://reader036.fdocuments.net/reader036/viewer/2022082917/55150c7c550346a87d8b48a8/html5/thumbnails/10.jpg)
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Binary Signal Detection
z has two meanings (either a1 or a2), depending on whether s1(t) or s2(t) was sent.
λ is the threshold level of the threshold comparator
H1 z > λ H2 z < λ
![Page 11: 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.](https://reader036.fdocuments.net/reader036/viewer/2022082917/55150c7c550346a87d8b48a8/html5/thumbnails/11.jpg)
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Binary Signal Detection
z has two meanings (either a1 or a2), depending on whether s1(t) or s2(t) was sent.
λ is the threshold level of the threshold comparator
H1 z > λ H2 z < λ
z is here↑
Case 1
![Page 12: 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.](https://reader036.fdocuments.net/reader036/viewer/2022082917/55150c7c550346a87d8b48a8/html5/thumbnails/12.jpg)
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Binary Signal Detection
z has two meanings (either a1 or a2), depending on whether s1(t) or s2(t) was sent.
λ is the threshold level of the threshold comparator
H1 z > λ H2 z < λ
z is here↑
Case 2
![Page 13: 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.](https://reader036.fdocuments.net/reader036/viewer/2022082917/55150c7c550346a87d8b48a8/html5/thumbnails/13.jpg)
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Binary Signal Detection
z has two meanings (either a1 or a2), depending on whether s1(t) or s2(t) was sent.
λ is the threshold level of the threshold comparator
H1 z > λ H2 z < λ
z is here↑
Case 3