Engineering Tables/DFT Transform Properties

	Periodic Sequence (Period N)	DFS Coefficients (Period N)
Notation	${\tilde {x}}[n]$	${\tilde {x}}[k]$ periodic with period N
Linearity	$a_{1}{\tilde {x}}_{1}[n]+a_{2}{\tilde {x}}_{2}[n]\$	$a_{1}{\tilde {X}}_{1}[k]+a_{2}{\tilde {X}}_{2}[k]\$
	${\tilde {X}}[n]$	$N{\tilde {x}}[-k]$
Time shifting	${\tilde {x}}[n-m]\$	$W_{N}^{km}{\tilde {X}}[k]\$

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