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BITS_Pilani_DCN_2015_Asgmnt1_answers - 1 Assignment I...

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1 Assignment I Instructor: B. Sainath, 2210A, Electrical and Electronics Eng. Dept., BITS Pilani. Course: Data Communications & Networking ANSWERS [1]. Probability that communication exists between A and B is 0.8008. [2]. End-to-end error recovery: Between host A and host B, (M+1) number of hops. To show: E [ D ] = M +1 1 - r , where D represents number of transmissions till correct reception, r = 1 - (1 - q ) M +1 . This result follows directly from Geometric distribution. We assumed that all hops are independent. [3]. 8-PSK vs. 16-QAM For the same average energy per symbol, 8-PSK delivers superior error performance when compared to 16-QAM. This is because, 8-PSK constellation has higher d min . We used the fact that larger the minimum distance between the constellation points, smaller the symbol error probability (SEP). [4]. Bandwidth, Rate computation for PCM: Message signal band-limited to 1 KHz. Sampling rate is 50% higher than Nyquist rate. Max. quantization error is 0 . 2 % of peak amplitude. We get a 9-bit PCM system. Bandwidth is 27 KHz and Rate is 27 Kbps. [5]. Rate and SQNR calculation:
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