(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

The symbol z = e^(iw) is called the delay operator. Explain why (in terms of the phasor) z^(-k) corresponds to a delay of k sampling intervals.

3. The attempt at a solution

We really have only discussed how to manipulate the filter equations, not really waht teh delay operator does.

I know a filter can be written as Y = b0*X + b1*X*Z^-1 + b2*X*Z^-2... etc

Where X is the original signal... This can also be written as

y[n] = b0*x[n] + b1*x[n-1] + b2*x[n-2]...etc

Where y[n] is the output signal and x[n] is the input signal

In the second form it is clear that x[n-1],x[n-2] is a delayed form of x[n], but i do not know how to explain why, in terms of the phasor, Z^-k corresponds ot the delay

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# Homework Help: Delay operator in feedfoward filters

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