Question

If x(n)=(0,0,1,1,1,1,1,0) then x(3n+1) is?

(a) (0,1,0,0,0,0,0,0)

(b) (0,0,1,1,1,1,0,0)

(c) (1,1,0,0,0,0,0,0)

(d) None of the mentioned

This question was addressed to me in a job interview.

This interesting question is from Signals, Systems and Signal Processing topic in chapter DSP – Basic Signaling of Digital Signal Processing

Answer 1

The correct choice is (a) (0,1,0,0,0,0,0,0)

The best explanation: First shift the given signal left by 1 and then time scale the obtained signal by 3.