Homework_5.pdf - ELEC1010 Homework 5[20 Deadline 10pm on 3 Dec(Tue Please submit ONE soft copy(pdf only of your assignment to Canvas(Assignments before

Homework_5.pdf - ELEC1010 Homework 5[20 Deadline 10pm on 3...

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1 of 2 ELEC1010 Homework 5[20] Deadline: 10pm on 3 Dec (Tue) Please submit ONE soft copy (pdf only) of your assignment to Canvas (Assignments) before the deadline. NO LATE Submission! (Zero marks!) 1. [6] We have two binary symmetric channels 1 & 2. Channel 1 has an error probability of 0.12 and channel 2 has an error probability of 0.22. a) If we want to transmit a bit sequence of ten bits, for each channel, what is the probability (with four decimal places) of: i. A single bit error occurs? ii. A five-bit error occurs? b) What is the channel capacity if the source can transmit 100 M bit per second for each channel? (Assume M = 10 6 ) 2. [4] Assume, we need to design a 2G mobile system. The frequency band is shared by 4 different service providers. The frequency band is divided into 250 kHz channels for either uplink or downlink. Each frequency channel can support 8 different time slots which can be used for voice or data services. a) Suppose each service provider can have 49 uplink and downlink channels, what is the total bandwidth of the frequency band we need?
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