(a) Find the recursive representation of the 5-day moving-average system described in Prob. 4.4-4. (b) Determine a block realization of this recursive system. Prob. 4.4-4 A variable, such as a stock...

(b) Determine a block realization of this recursive system.

Prob. 4.4-4

A variable, such as a stock market average, may fluctuate (up and down) daily, masking its long-term trend. We can discern such long-term trends by smoothing or averaging the past N values of the variable. For the stock market average, we may consider a 5-day moving average y[n] to be the mean of the past five days’ market closing values x[n], x[n − 1], ..., x[n − 4].

(a) Write the nonrecursive representation of this system.

(b) Determine a block realization of this system.