James F. Kurose, Keith W. Ross

Problems

Multimedia Networking

6

9780132856201

7

Consider the procedure described in Section 7.3 for estimating average delay d_{ i }. Suppose that u = 0.1. Let r_{ 1 }– t_{ 1 }be the most recent sample delay, let r _{2} – t_{ 2 }be the next most recent sample delay, and so on.

a. For a given audio application suppose four packets have arrived at the receiver with sample delays r_{ 4 }– t_{ 4} , r_{ 3 }– t_{ 3} , r_{ 2} – t_{ 2 }, and r_{ 1 }– t_{ 1} Express the estimate of delay d in terms of the four samples.

b. Generalize your formula for n sample delays.

c. For the formula in Part b, let* n* approach infinity and give the resulting formula. Comment on why this averaging procedure is called an exponen-tial moving average.

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