1. A 2N-point DFT is applied on a 2N-point time-domain vector. The first N point
ID: 2249215 • Letter: 1
Question
1. A 2N-point DFT is applied on a 2N-point time-domain vector. The first N points in that vector consist of a
sampled sinewave with period M samples and N=iM. The last N samples are all set to zero. The sinusoid can be
resolved precisely by the DFT, i.e., only two frequency components out of the 2N are non-zero.
True
False
2. An N-point DFT is applied on a sampled sinewave with period M samples. The number of samples N is an
integer multiple of the period of the sinusoid, i.e., N=iM. The sinusoid can be resolved precisely by the N-point
DFT, i.e. only two frequency components out of the N are non-zero.
True
False
Explanation / Answer
a 2N-point DFT is applied on a 2N-point time-domain vector. The first N points in that vector consist of a sampled sinewave with period M samples and N=iM. The last N samples are all set to zero. The sinusoid can be
resolved precisely by the DFT, i.e., only two frequency components out of the 2N are non-zero.
it is true
An N-point DFT is applied on a sampled sinewave with period M samples. The number of samples N is an integer multiple of the period of the sinusoid, i.e., N=iM. The sinusoid can be resolved precisely by the N-point
DFT, i.e. only two frequency components out of the N are non-zero.
it is false
Related Questions
Navigate
Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.