Engineering Tables/DTFT Transform Properties

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Property Time domain
Frequency domain
Remarks
Linearity
Shift in time integer k
Shift in frequency real number a
Time reversal
Time conjugation
Time reversal & conjugation
Derivative in frequency
Integral in frequency
Convolve in time
Multiply in time
Correlation

Where:

  • is the convolution between two signals
  • is the complex conjugate of the function x[n]
  • represents the correlation between x[n] and y[n].