Single Pole IIR Filter: Difference between revisions
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[ | The input and output satisfy a difference equation of the form y[n] - (1-alpha) y[n-1] = alpha x[n] | ||
with the corresponding rational system function H(z) = \frac{alpha}{1 - (1-alpha) z^{-1}} | |||
Note that some texts define the system function with a + in the denominator. If you're using that convention, you'll need to negate the feedback tap. | |||
== Parameters == | == Parameters == | ||
(''R''): <span class="plainlinks">[https://wiki.gnuradio.org/index.php/GNURadioCompanion#Variable_Controls ''Run-time adjustable'']</span> | (''R''): <span class="plainlinks">[https://wiki.gnuradio.org/index.php/GNURadioCompanion#Variable_Controls ''Run-time adjustable'']</span> | ||
; | ; Alpha (''R'') | ||
: | : | ||
== Example Flowgraph == | == Example Flowgraph == | ||
Line 21: | Line 19: | ||
; C++ files | ; C++ files | ||
: [https://github.com/gnuradio/gnuradio | : [https://github.com/gnuradio/gnuradio/blob/master/gr-filter/lib/single_pole_iir_filter_ff_impl.cc] | ||
: [https://github.com/gnuradio/gnuradio/blob/master/gr-filter/lib/single_pole_iir_filter_ff_impl.cc] | |||
; Header files | ; Header files | ||
: [https://github.com/gnuradio/gnuradio | : [https://github.com/gnuradio/gnuradio/blob/master/gr-filter/lib/single_pole_iir_filter_ff_impl.h] | ||
: [https://github.com/gnuradio/gnuradio/blob/master/gr-filter/lib/single_pole_iir_filter_ff_impl.h] | |||
; Public header files | ; Public header files | ||
: [https://github.com/gnuradio/gnuradio | : [https://github.com/gnuradio/gnuradio/blob/master/gr-filter/include/gnuradio/filter/single_pole_iir.h Base] | ||
: [https://github.com/gnuradio/gnuradio/blob/master/gr-filter/include/gnuradio/filter/single_pole_iir_filter_cc.h Complex input] | |||
: [https://github.com/gnuradio/gnuradio/blob/master/gr-filter/include/gnuradio/filter/single_pole_iir_filter_ff.h Float input] | |||
; Block definition | ; Block definition | ||
: [https://github.com/gnuradio/gnuradio | : [https://github.com/gnuradio/gnuradio/blob/master/gr-filter/grc/filter_single_pole_iir_filter_xx.block.yml] |
Revision as of 15:09, 11 September 2019
The input and output satisfy a difference equation of the form y[n] - (1-alpha) y[n-1] = alpha x[n]
with the corresponding rational system function H(z) = \frac{alpha}{1 - (1-alpha) z^{-1}}
Note that some texts define the system function with a + in the denominator. If you're using that convention, you'll need to negate the feedback tap.
Parameters
(R): Run-time adjustable
- Alpha (R)
Example Flowgraph
Insert description of flowgraph here, then show a screenshot of the flowgraph and the output if there is an interesting GUI. Currently we have no standard method of uploading the actual flowgraph to the wiki or git repo, unfortunately. The plan is to have an example flowgraph showing how the block might be used, for every block, and the flowgraphs will live in the git repo.
Source Files
- Public header files
- Base
- Complex input
- Float input
- Block definition
- [5]