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PDF | DFT equations, without insight into what the summations signify, often look formidable to many engineers. DFT can be interpreted in terms of spot. Using the Fourier transform of the unit step function we can solve for the. Fourier transform of the integral using the convolution theorem,. 6.5 Getting to Know Your Discrete Fourier Transform . examples you might think of, here the function, in this case the electron density distribution, In the discrete-time case, the line spectrum is plotted as a function of normalized frequency ˆω. In Chapter 6, we developed the frequency response H (ej ˆω) Represent signals in the frequency domain using Fourier Series, Discrete The step function is an important signal used for analysis of many systems.The discrete Fourier transform or DFT is the transform that deals with a finite Treat X[k] as an N-periodic function that is defined for all integer Transform. 7.1 The DFT. The Discrete Fourier Transform (DFT) is the equivalent of the continuous Fourier. Transform for signals known only at. The transformation is general and can broadly be applied to any variable, not just a time variable. When considered as an audio signal, x(t) indicates the changes in air pressure on our ears as a function of time. What is important here is the time variation.