1. Consider the procedure described in Section 9.3 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...

1. Consider the procedure described in Section 9.3 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 exponential moving average.