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    BANNARI AMMAN INSTITUTE OF TECHNOLOGY SATHYAMANGALAM Department of ECE Class S5 ECE A & B Subject Code 11L501 Subject Digital Communication Prepared By C.Kamalanathan Time: Lesson. No 2 1. Content List: Error Rate due to Noise  2. Skills Addressed: Reading, Writing, Listening, Understanding, Drawing Mind Map, Analyzing 3. Objectives: 1.   To analyse the channel noise on performance of a binary PCM system 2.   To study about the probability error in a PCM receiver 4. Lesson Links: 1.   What are the two possible kinds of error to be considered? 2.   Draw the decision making process of the receiver. 3.   Define Complementary error function. 5. Alpha Breathing : (2 Mins) The three steps for alpha breathing are    Breathe in    Breathe out    Hold (Repeat the three steps for 8 times) 6. Evocation : (5 mins ) 7. Introduction:( 20-25 mins) Attached as power point presentation in Annexure  –   I    8. Brain Activation: (2 mins) http://www.mathsisfun.com/geometry/index.html   9. Survey and Reading by students: (15-18 mins) Book  : Communication Systems 4 th  Edition Author : Simon Haykin Page No : 253 - 258   10. Discussion: ( 9 mins) The students will be asked to discuss the relevant topic among their team/other team/Faculty. The students those who have not taken part will be noted and kindle them to do. 11. Mind Map: (5-7 mins)  Attached as power point presentation in Annexure  –   II   12. Summary: (5 mins) Attached as power point presentation in Annexure  –   III   13. Gazing/Rote memory: (2 mins) 1.   Polar non-return-to-zero (NRZ) 2.   Additive white Gaussian noise w(t) 3.   Transmitted pulse Amplitude 4.   Threshold 5.   First kind of error 6.   Second kind of error 7.   Complementary error function 8.   Gaussian Distribution 9.   Condtional probability of error 10.   Average probability of symbol error 14. Assessment: Attached as power point presentation in Annexure  –   IV 15. Learning outcomes: By learning this topic the students will be able to understand Error rate due to noise it will help them to apply this knowledge in real time applications.   Annexure II    –   Mind Map Two possible kinds of error to  be considered 1.   First kind 2.   Second kind The structure of the receiver used to perform this decision-making process Decision making  process consists of Matched filter and a sampler First kind Symbol 1 is chosen when a 0 was actually transmitted Second kind Symbol 0 is chosen when a 1 was actually transmitted Error Rate due to noise Addtitive white Gaussian noise w(t) of zero mean and power spectral density N 0 /2  Annexure III  - Summary    The channel noise is modeled as additive white Gaussian noise w(t) of zero mean and  power spectral density No/2.    Two possible kinds of error to be considered.    Symbol 1 is chosen when 0 was actually transmitted, refer this error as error of first kind.    Symbol 0 is chosen when 1 was actually transmitted, refer this error as error of second kind. Annexure IV  - Multiple choice Questions 1 In quaternary baseband transmission, the ratio of transmission speeds in  bits/second and bauds is a) 2  b) 4 c) 0.5 d) 0.25 ANS: 2 A binary PCM based on polar a) NRZ signaling  b) Bipolar RZ c) Manchester code d) Unipolar NRZ ANS: 3 The channel noise is modeled as additive white Gaussian noise w(t) of a)  Zero mean and power spectral density N o /2  b) Zero mean c) Power spectral density N o /2 d) Zero mean and power spectral density N o /2 ANS:
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