ABSTRACT
Filtering refers to the time or frequency-domain processing of a signal, which is performed to enhance the required features or to remove unwanted frequency components. Ideal filters allow a band of frequencies and reject all other frequencies. FIR filters are easy to understand, easy to design and to implement, and amenable to being made adaptive. The simple implementation of adaptive FIR filters requires the filters to change their coefficients in real time to accommodate changes in external conditions. Ideal filters have a zero transition bandwidth, a constant passband, and a stopband with an infinite attenuation. Since the main-lobe width of the Hann window is the same as that of the Hamming window, for a given transition width, the filter length remains the same. The differentiator can be represented using the difference equation, which can be easily implemented by a general-purpose digital computer or a special-purpose digital hardware.
