iir filter design methods


What is IIR filter design?

    IIR filter design primarily concentrates on the magnitude response of the filter and regards the phase response as secondary. The most common design method for digital IIR filters is based on designing an analogue IIR filter and then converting it to an equivalent digital filter.

What is the finite difference equation of an IIR filter?

    The finite difference equation and transfer function of an IIR filter is described by Equation 3.3 and Equation 3.4 respectively. In general, the design of an IIR filter usually involves one or more strategically placed poles and zeros in the z-plane, to approximate a desired frequency response.

How do you design a digital filter?

    Design a digital filter equivalent of a 2nd order Butterworth low-pass filter with a cut-off frequency fc = 100 Hz and a sampling frequency fs = 1000 samples/sec. Derive the finite difference equation and draw the realisation structure of the filter.

Can an infinite impulse response filter display pure linear-phase characteristics?

    It is therefore referred to as an infinite impulse response (IIR) filter. Assuming the filter is causal, so that the impulse response h[n] = 0 for n < 0, it follows that h[n] cannot be symmetrical in form. Therefore, an IIR filter cannot display pure linear-phase characteristics like its adversary, the FIR filter.
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