ABSTRACT
The sampling can be achieved by using the down sampler, a device that creates another discrete signal from the original by skipping a specific number of elements and by using the up sampler. There are two general approaches that might be adopted in cases. One method calls for approximating the functions and carrying out the integrations by numerical means. A second method and one that is used extensively, calls for replacing the continuous Fourier transform by an equivalent discrete Fourier transform (DFT) and then evaluating the DFT using the discrete data. Therefore, corresponding to any sampled function in the frequency domain, a periodic function exists in the time domain. There are many applications where the signal of a given sampling rate must be converted into an equivalent signal with a different sampling rate.
