Consider the LTI system with poles at 0.9, j and -j and zeros at 1+j and 1-j. Ob

Question

Consider the LTI system with poles at 0.9, j and -j and zeros at 1+j and 1-j. Obtain the coefficients of the FIR and IIR sections of the system analytically. Validate the previous result by using the Matlab function poly. Plot the poles and zeros of the system in the z-plane, and discuss about the stability of this LTI system. Verify the stability (or instability) by plotting the impulse response. Now consider the inverse system and plot its diagram of poles and zeros. Discuss and verify in Matlab the stability of the inverse system.

Explanation / Answer

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