Lecture 6.

Inverse L-transform!

Relationship between F-transformation and L-transform

Another representation of the L-

transformation!

Two last expressions define the integral F-transformation Applicability of the L-and F-

transformations?

Discrete analog of the L-

transformation.

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Cousin – кузен, ближайший родственник

Comparison with the continuous L-transform

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Interpretation of the unit-circle on the z-plane graphically.

Z-transform

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IIR-filter – Infinite Impulse Response Filter. The relationship between

H(z) transform and its real signal is shown on the left-hand side. All stable signals are located inside the unit circle, while any unstable signals are located outside.

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Natural generalization

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Conventional form of the Transfer function H(z) in z-transformation.

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How to transform the temporal signal y(t) expressed in the form of the ratio of two polynomials

to the IIF, presenting the signal in the form of the difference equation?

In the Lyon’s book two methods are given. Because of their importance and you’ll receive the practical task we consider them in details.

Method 1

Example and the necessary steps

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In general case it implies that signal can be presented in the form

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In our partial case, we have expression (6.55) that can be presented in the form

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