Analysis of Discrete Linear Time Invariant Systems

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# Analysis of Discrete Linear Time Invariant Systems - PowerPoint PPT Presentation

y(n). X(n). system. the behavior or response of a linear system to a given input signal .

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## Analysis of Discrete Linear Time Invariant Systems

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Presentation Transcript
1. y(n) X(n) system the behavior or response of a linear system to a given input signal the second method is to decompose the input signal into a sum of elementary signals. Then, using the linearity property of the system, the responses of the system to the elementary signals are added to obtain the total response of the system. One method is based on the direct solution of the input-output equation for the system. Analysis of Discrete Linear Time Invariant Systems Convolution method

2. The impulse response: Finite impulse response infinite impulse response FIR system system IIR system

3. The linear time invariant systems are characterized in the time domain by their response to a unit sample sequence an LTI system is causal if and only if its impulse response is zero for negative values of n. h(n) h(n) Imp resp is noncausal and stable Imp resp is causal and unstable

4. Various forms of impulse response h(n) h(n) h(n) Impulse response is causal and unstable Impulse response is non causal and stable Impulse response is causal and stable

5. Example :Find the impulse response of the system described by the following difference equation y(n)=1.5 y(n-1)-0.85 y(n-2) +x(n), is this system is FIR or IIR

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