Question: Moving average lter: Consider the discretetime signal given by the DowJones (DJ) Index 5-day moving average. At the close of NYSE trading on day 71,

Moving average lter: Consider the discretetime signal given by the DowJones (DJ) Index 5-day moving average. At the close of NYSE trading on day 71, this signal is one-fth the sum of the DJ index for the nth day and the previous four days. Let 1:[n] denote the closing DowJ ones average on day n. (a) Write an input-output relationship relating y[n] to $[n]. (b) Is the system relating u] and y[n] linear? Shiftinvariant? (c) Is the system causal? Stable? (d) What is the system impulse response? (e) What is the zero state response of the system for the input 56[n 2]? (f) Draw a block diagram representing the system

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