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 == | ||
[[File:MorseGen_fg.png|800px]] | |||
== Source Files == | == Source Files == | ||
; 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] |
Latest revision as of 16:09, 28 March 2020
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
Source Files
- Public header files
- Base
- Complex input
- Float input
- Block definition
- [5]