Difference between revisions of "Filter Families"
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| − | The location of the poles and zeros of a filter transfer function determines both the magnitude and phase response of that filter. Let us look at several filter ''families'', where each family has a particular scheme for pole and zero placement, resulting in certain unique characteristics. Though there are other filter families, we will focus on these four families: (1) Butterworth Filters, (2) Chebyshev Filters, (3) Elliptic Filters, and (4) Bessel Filters. | + | The location of the poles and zeros of a filter transfer function determines both the magnitude and phase response of that filter. Thus, one important filter metric is the '''filter order''', which specifies the order of the polynomial in the denominator of the transfer function, i.e. the number of poles. Let us look at several filter ''families'', where each family has a particular scheme for pole and zero placement, resulting in certain unique characteristics. Though there are other filter families, we will focus on these four families: (1) Butterworth Filters, (2) Chebyshev Filters, (3) Elliptic Filters, and (4) Bessel Filters. |
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| + | We will start with low-pass filters, but we can easily convert low-pass filters to their high-pass and band-pass counterparts, with the same characteristics as their low-pass equivalents. | ||
== The Low-Pass Butterworth Filter == | == The Low-Pass Butterworth Filter == | ||
Revision as of 16:07, 15 March 2021
The location of the poles and zeros of a filter transfer function determines both the magnitude and phase response of that filter. Thus, one important filter metric is the filter order, which specifies the order of the polynomial in the denominator of the transfer function, i.e. the number of poles. Let us look at several filter families, where each family has a particular scheme for pole and zero placement, resulting in certain unique characteristics. Though there are other filter families, we will focus on these four families: (1) Butterworth Filters, (2) Chebyshev Filters, (3) Elliptic Filters, and (4) Bessel Filters.
We will start with low-pass filters, but we can easily convert low-pass filters to their high-pass and band-pass counterparts, with the same characteristics as their low-pass equivalents.
