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	$\tilde{x} [n - m]$	$W_{N}^{k m} \tilde{X} [k]$

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