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Which of the following is true about the interpolated signal whose spectrum is V(ωy)?(a) (I-1)-fold non-periodic(b) (I-1)-fold periodic repetition(c) I-fold non periodic(d) I-fold periodic repetitionThis question was posed to me during a job interview.The doubt is from Interpolation by a Factor I in section Digital Filters Design of Digital Signal Processing

Answer»

Right option is (d) I-fold periodic REPETITION

Easiest explanation: We observe that the SAMPLING rate INCREASE, obtained by the addition of I-1 zero samples between successive values of x(n), results in a SIGNAL whose spectrum is an I-fold periodic repetition of the INPUT signal spectrum.



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