Electrical low pass (LP) Chebyshev filter
Keywords
electrical, unidirectional
Ports
| Name | Type |
|---|---|
| input | Electrical Signal |
| output | Electrical Signal |
Properties
General Properties
| Name | Default value | Default unit | Range |
|---|---|---|---|
|
name Defines the name of the element. |
LP Chebyshev Filter | - | - |
|
annotate Defines whether or not to display annotations on the schematic editor. |
true | - | [true, false] |
|
enabled Defines whether or not the element is enabled. |
true | - | [true, false] |
|
type Defines the element unique type (read only). |
LP Chebyshev Filter | - | - |
|
description A brief description of the elements functionality. |
Electrical low pass (LP) Chebyshev filter | - | - |
|
prefix Defines the element name prefix. |
LPF | - | - |
|
model Defines the element model name. |
- | - | - |
|
library Defines the element location or source in the library (custom or design kit). |
- | - | - |
|
local path Defines the local path or working folder $LOCAL for the element. |
- | - | - |
|
url An optional URL address pointing to the element online help. |
- | - | - |
Standard Properties
| Name | Default value | Default unit | Range |
|---|---|---|---|
|
cutoff frequency The 3-dB cutoff frequency of the filter (full with at half maximum, FWHM). |
0.75 * %bitrate% | Hz | (0, +∞) |
|
order Defines the filter order. |
4 | - | [1, 10] |
|
ripple Defines the filter ripple factor. |
3 | dB | (0, +∞) |
|
insertion loss Defines the insertion loss (attenuation). |
0 | dB | [0, +∞) |
Numerical/Digital Filter Properties
| Name | Default value | Default unit | Range |
|---|---|---|---|
|
initialize filter taps Defines whether to use the initial input signal to initialize filter state values or to set them to zero values. |
false | - | [true, false] |
Diagnostic Properties
| Name | Default value | Default unit | Range |
|---|---|---|---|
|
run diagnostic Enables the frequency response of the designed filter implementation and the ideal frequency response to be generated as results. |
false | - | [true, false] |
|
diagnostic size The number of frequency points used when calculating the filter frequency response. |
1024 | - | [2, +∞) |
Results
| Name | Description |
|---|---|
| diagnostic/response #/transmission | The complex transmission vs. frequency corresponding to the ideal and designed filter. |
| diagnostic/response #/gain | The gain vs. frequency corresponding to the ideal and designed filter. |
| diagnostic/response #/error | Mean square error comparing the frequency response of the designed filter implementation with the ideal frequency response. |
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Implementation Details
Following is an example and implementation details of how the low-pass Chebyshev filter works, please see the example file: LP_Chebyshev_Filter.icp
The key features for this element are the filter's order, bandwidth and the filter's ripple. Following figures show how these features affect the filter's performances.
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Fig. 1 LP Chebyshev Filter Transmission Plot |
Fig. 2 LP Chebyshev Filter Gain Plot |