ABSTRACT

The Fourier representation of signals plays an essential part in both continuous and discrete-time signal processing. It delivers a method for mapping signals into another domain in which to operate them. The Fourier representation mainly useful is the property that the convolution operation mapped to multiplication. Also, the Fourier transform provides a different method to understand the systems and signals.

Discrete-Time Fourier Transform (DTFT) is used to analyze the frequency spectrum of a discrete signal with a computer because computers can only handle a finite number of values. This chapter presents analysis a frequency response for a signal using MATLAB, and the Inverse Discrete-Time Fourier Transform(IDTFT), also chapter will submit the Applications of DTFT and analysis of LSI Systems and Solving Difference Equations using DTFT.