Give the Properties of one dimensional DFT

The one-dimensional Discrete Fourier Transform (DFT) is a mathematical transformation commonly used in signal processing and image analysis to analyze the frequency content of a discrete signal. Here are some important properties of the one-dimensional DFT:

1. Linearity:

   • The one-dimensional DFT is a linear transformation. For any constants ?a and ?b and signals ?[?]x[n] and ?[?]y[n]: DFT{?⋅?[?]+?⋅?[?]}=?⋅DFT{?[?]}+?⋅DFT{?[?]}DFT{a⋅x[n