3. a) An important problem in communications is the efficient representation of data generated by a discrete source. Tab

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3 A An Important Problem In Communications Is The Efficient Representation Of Data Generated By A Discrete Source Tab 1 (68.54 KiB) Viewed 28 times

3 A An Important Problem In Communications Is The Efficient Representation Of Data Generated By A Discrete Source Tab 2 (7.61 KiB) Viewed 28 times

3. a) An important problem in communications is the efficient representation of data generated by a discrete source. Table Q3(a) shows a set of symbols with their respective probabilities. Table Q3(a) Symbol S2 Probability 0.0625 0.25 0.125 0.0625 0.125 0.25 0.125 SO SI S3 S4 S5 S6 The symbols are encoded using Shannon-Fano coding. Analyse the set of symbols to identify the respective binary code for each symbol in the table. [9 marks b) Calculate the code efficiency and entropy of the second-order extension of the source based on the binary code obtained in Q3(a). [10 marks) c) Alphanumeric data are entered into a computer from a remote terminal through a voice-grade telephone channel. The channel has a bandwidth of 3.4kHz and output signal to noise ratio of 27.09 dB. The terminal has a total of 256 symbols. Assume that the symbols are equiprobable and the successive transmissions are statistically independent. Calculate the maximum symbol rate (baud rate) for which error -free transmission over the channel is possible. [8 marks
d) State two advantages and one disadvantage of digital transmission over analog transmission [3 marks