Matlab code for implementation of Fourier Transform and Inverse Fourier Transform of bit stream.4/5/2014 ExplanationDiscrete Fourier Transform also called DTFT is the frequency domain representation of the signal having discrete signal as an input. This discrete input signal could be produced by using sampling process on continuous signals. It is a frequent requirement in signal processing, for the detection and analysis of frequency components that are of interest, even when accompanied by unwanted stronger frequency components. A Fast Fourier Transform is only one of the many available algorithms and techniques for achieving the transformation with a considerably smaller amount of mathematical operations and hence is much faster than the direct implementation. The applications for FFTs are numerous and diverse. For many types of functions it is possible to recover a function from its Fourier transform. Intuitively it may be viewed as the statement that if we know all frequency and phase information about a wave then we may reconstruct the original wave precisely. The inverse Fourier transform is extremely similar to the original Fourier transform: as discussed above, it differs only in the application of a flip operator. For this reason the properties of the Fourier transform hold for the inverse Fourier transform, such as the Convolution theorem. Matlab Code% Matlab Code to implement Fourier Transform and Inverse Fourier Transform
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