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The R.O.C. of a unit step function is __________(a) |z|>|1|(b) Entire z plane except z=0(c) Entire z plane except z=∞(d) Does not existThe question was asked during an interview.This is a very interesting question from Z Transform in division Digital Signal Processing of MATLAB

Answer»

Correct choice is (a) |Z|>|1|

Easiest explanation: The unit STEP function is a causal INFINITE duration signal. The R.O.C. of a^nu[n] is |z|>|a|. For a unit step function, a=1 and thus the R.O.C. is GIVEN by option only.



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