Homework SourseLets assume that we have performed a 20point DFT on a sequen
Let’s assume that we have performed a 20-point DFT on a sequence of real-valued time-domain samples, and we want to send our X(m) DFT results to a colleague using e-mail. What is the absolute minimum number of (complex) frequency-domain sample values we will need to type in our e-mail so that our colleague has complete information regarding our DFT results?
Let’s assume that we have performed a 20-point DFT on a sequence of real-valued time-domain samples, and we want to send our X(m) DFT results to a colleague using e-mail. What is the absolute minimum number of (complex) frequency-domain sample values we will need to type in our e-mail so that our colleague has complete information regarding our DFT results?
Solution
ANSWER:
We need to send 20 values.
Irrespective of whether it is a time domain or frequency domain sample, every signal needs some minimum number of pieces of information to be re-constructed. If it needs 20 time domain samples, even in frequency domain, 20 equally-spaced samples are sufficient.
Let mw knoe if you have any doubts.
