# The impulse response of a linear time-invariant system is lal. alt = The impulse response of a linear time-invariant system

## Question:

The impulse response of a linear time-invariant system is

lal." alt = "The impulse response of a linear time-invariant system is (a)" alt = "The impulse response of a linear time-invariant system is (a)" alt="The impulse response of a linear time-invariant system is (a)" class="fr-fic fr-dii">

(a) Draw the flow graph of a direct-form nonrecursive implementation of the system.

(b) Show that the corresponding system function can be expressed as

(c) Draw the flow graph of an implementation of H(z), as expressed in part(b), corresponding to a cascade of an FIR system (numerator) with an IIR system (denominator).

(d) Is the implementation in part (c) recursive or nonrecursive? Is the over all system FIR or IIR?

(i) the most storage (delay elements)?

(ii) the most arithmetic (multiplications and additions per outputsample)?

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**Related Book For**

## Discrete Time Signal Processing

**ISBN:** 978-0137549207

2nd Edition

**Authors:** Alan V. Oppenheim, Rolan W. Schafer

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