# Engineering Tables/DFT Transform Properties

Periodic Sequence (Period N) | DFS Coefficients (Period N) | |
---|---|---|

Notation | periodic with period N | |

Linearity | ||

Time shifting |

The text in its current form is incomplete. |

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]\$ |