Note that FIR filters have only zeros (no poles). Hence known also as all-zero filters FIR filters also known asfeedforward or non-recursive, or transversal
Other names for FIR filters:
all-zero filters feedforward non-recursive transversal
4 Matching Annotations
- Oct 2020
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www.vyssotski.ch www.vyssotski.ch
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FIR filter of lengthM(order N=M-1, watch out! order – number of delays)
For FIR filters, the length is one more than the order (i.e. if its a 6th order filter, the filter length is 7).
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technobyte.org technobyte.org
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Gibbs phenomenon
Truncating the ideal impulse response through windowing creates ripple in pass- and stopbands. This is the "Gibbs phenomenon." Non-rectangular windows alter the ripple.
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desired frequency response of our digital filter
...is expressed as the impulse response of an ideal filter of the type desired (HPF, LPF, band-pass, band-stop, etc).
Problem: the impulse response of an ideal filter is IIR. To ensure it is causal and finite, the ideal impulse response must be truncated by multiplication with a "window".
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