| 1 |
1.0000 |
|
| 2 |
1.1030 |
0.6368 |
| 3 |
1.0509 1.3270 |
1.0025 |
| 4 |
1.3596 0.9877 |
0.4071 1.2476 |
| 5 |
1.3851 0.9606 1.5069 |
0.7201 1.4756 |
| 6 |
1.5735 1.3836 0.9318 |
0.3213 0.9727 1.6640 |
| 7 |
1.6130 1.3797 0.9104 1.6853 |
0.5896 1.1923 1.8375 |
| 8 |
1.7627 0.8955 1.3780 1.6419 |
0.2737 2.0044 1.3926 0.8253 |
| 9 |
1.8081 1.6532 1.3683 0.8788 1.8575 |
0.5126 1.0319 1.5685 2.1509 |
| 10 |
1.9335 0.8684 1.8478 1.6669 1.3649 |
0.2424 2.2996 0.7295 1.2248 1.7388 |
Bessel poles lie along a circle similar to the Butterworth filter, but are spaced approximately
equal distances apart relative to the real axis rather than at equal angular distances. Prototype
value real and imaginary pole locations (ω=1 at the 3dB cutoff point) for Bessel filters are
presented in the table below.
This pole-zero diagram shows the location of poles for a 4th-order Bessel
lowpass filter.
Bessel filter prototype element values
are here.
Bessel function plots can be found here.
Data taken from "Filter Design," by Steve Winder, Newnes Press, 1998. This is a great filter
design book, and I recommend you purchase a copy of it.
Related Pages on RF Cafe
-
Butterworth Filter Equations for Magnitude, Phase, and Group Delay
-
Chebyshev Filter Equations for Magnitude, Phase, and Group Delay
-
Butterworth Lowpass Filter Gain, Phase, and Group Delay Equations
-
Butterworth Highpass, Bandpass, & Bandstop Filter Gain, Phase, and Group Delay
Equations
- How to
Use Filter Equations in a Spreadsheet
- Filter Transfer Functions
- Filter Equivalent Noise
Bandwidth
- Filter Prototype Denormalization
- Bessel Filter Poles
- Bessel Filter
Prototype Element Values
- Butterworth Lowpass
Filter Poles
- Butterworth Filter
Prototype Element Values
- Chebyshev Lowpass Filter
Poles
- Chebyshev Filter
Prototype Element Values
- Monolithic
Ceramic Block Combline Bandpass Filters Design
-
Coupled Microstrip Filters: Simple Methodologies for Improved Characteristics
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