Finite impulse response Guide, Meaning , Facts, Information and Description
A finite impulse response (FIR) filter is a type of a digital filter in discrete time, that is normally implemented through digital electronic computation. The z-transform of an FIR filter has only zeros and no poles. The number of coefficients in an FIR filter is its order.
Given an input signal and a th-order FIR filter , the convolution of with is defined as follows:
The z-transform of , denoted is defined as follows:
The z-transform of is then .
A finite impulse response filter has a number of useful properties which sometimes make it preferable to an infinite impulse response filter: FIR filters are inherently stable, require no feedback, and can have linear phase (i.e. the phase response of the filter is a linear function of frequency, excluding the possibility of wraps at ). An FIR filter has linear phase if and only if its coefficients are symmetric about the center coefficient.
digital filter, infinite impulse response, filter (signal processing)
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