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The R.O.C. of impulse function is _________(a) The entire z-plane(b) Interior to the unit circle |z|=1(c) Exterior to the unit circle |z|=1(d) Between the unit circle |z|=1 and |z|=∞I had been asked this question in an online interview.The question is from Z Transform topic in chapter Digital Signal Processing of MATLAB

Answer»

Right option is (a) The entire Z-plane

The explanation: The impulse FUNCTION has a Z-transform EQUAL to 1.Since it is independent of z, it exists for all values of z. Hence, the Z-transform CONVERGES for all values of z. Thus, the R.O.C. of impulse function is the entire z-plane.



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