Properties
This table shows some mathematical operations in the time-domain and the corresponding effects in the frequency domain.
- is the discrete convolution of two sequences
- is the complex conjugate of
Property | Time domain | Frequency domain | Remarks |
---|---|---|---|
Linearity | |||
Shift in time | integer k | ||
Shift in frequency (modulation) | real number a | ||
Time reversal | |||
Time conjugation | |||
Time reversal & conjugation | |||
Derivative in frequency | |||
Integral in frequency | |||
Convolve in time | |||
Multiply in time | Periodic convolution | ||
Cross correlation | |||
Parseval's theorem |
Read more about this topic: Discrete-time Fourier Transform
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