DFT of x[n] is defined as Select one:
Question
DFT of x[n] is defined as Select one:
Solution
I'm sorry, but you didn't provide a question or a list of options to choose from. The Discrete Fourier Transform (DFT) of a sequence x[n] is typically defined as:
X[k] = Σ (from n=0 to N-1) x[n] * e^(-j2pikn/N)
Where:
- X[k] is the kth DFT coefficient
- x[n] is the nth sample of the sequence
- N is the total number of samples
- j is the imaginary unit
- e is the base of the natural logarithm
- pi is a mathematical constant whose value is the ratio of any circle's circumference to its diameter
- The sum is over n, which goes from 0 to N-1
This formula essentially transforms the sequence from the time domain to the frequency domain.
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