As explained in the Introduction to this chapter, channel coding

As explained in the Introduction to this chapter, channel coding

As explained in the Introduction to this chapter, channel coding can be used to reduce the Eb/N0 required for a prescribed error performance or reduce the size of the receiving antenna for a prescribed Eb/N0. In this problem we explore these two practical benefits of coding by revisiting Example 8.2 in Chapter 8 on the downlink power calculations for a domestic satellite communication system. In particular, we now assume that the design of the down link includes the use of a coding scheme consisting of a rate-112 convolutional encoder with length K = 7 and Viterbi decoding. The coding gain of this scheme is 5.1 dB, assuming the use of soft quantization. Hence do the following:
(a) Recalculate the required Eb/N0 ratio of the system.
(b) Assuming that the required Eb/N0 ratio remains unchanged, calculate the reduction in the size of the receiving dish antenna that is made possible by the use of this coding scheme in the downlink.

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