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	$\tilde{x}[n-m]$	$W_N^{km}\tilde{X}[k]$