Complex to Arg: Difference between revisions
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This block takes in a complex stream and outputs each complex value's arg (a.k.a. arctan, see [https://en.wikipedia.org/wiki/Argument_(complex_analysis)#Computing_from_the_real_and_imaginary_part]). The output is a float. | This block takes in a complex stream and outputs each complex value's arg (a.k.a. arctan, see [https://en.wikipedia.org/wiki/Argument_(complex_analysis)#Computing_from_the_real_and_imaginary_part]). The output is a float. | ||
== Parameters == | == Parameters == | ||
None | None | ||
== Mathematical Description == | |||
Assuming an input of <math>c[n] = r[n] + i[n]j</math>, then the output of this block corresponds to <math>arctan(i[n]/r[n])</math>. | |||
== Example Flowgraph == | == Example Flowgraph == | ||
[[File:Complex2ArgDemo.jpg|800px]] | |||
This is a frequency demodulator. The blocks from the output of the [[FFT Low Pass Filter]] to the output of the [[Multiply Const]] block is equal to the [[Quadrature Demod]] block. | |||
== Source Files == | == Source Files == | ||
; C++ files | |||
: [https://github.com/gnuradio/gnuradio/blob/main/gr-blocks/lib/complex_to_arg_impl.cc complex_to_arg_impl.cc] | |||
; Header files | |||
: [https://github.com/gnuradio/gnuradio/blob/main/gr-blocks/lib/complex_to_arg_impl.h complex_to_arg_impl.h] | |||
; Public header files | |||
: [https://github.com/gnuradio/gnuradio/blob/main/gr-blocks/include/gnuradio/blocks/complex_to_arg.h complex_to_arg.h] | |||
; Block definition | |||
: [https://github.com/gnuradio/gnuradio/blob/main/gr-blocks/grc/blocks_complex_to_arg.block.yml blocks_complex_to_arg.block.yml] | |||
[[Category:Block Docs]] | |||
Latest revision as of 18:56, 13 April 2024
This block takes in a complex stream and outputs each complex value's arg (a.k.a. arctan, see [1]). The output is a float.
Parameters
None
Mathematical Description
Assuming an input of , then the output of this block corresponds to .
![{\displaystyle c[n]=r[n]+i[n]j}](https://en.wikipedia.org/api/rest_v1/media/math/render/svg/eb4f3946182c5f085ecc124598ff804b584016c6)
![{\displaystyle arctan(i[n]/r[n])}](https://en.wikipedia.org/api/rest_v1/media/math/render/svg/2312e0e19ca1a63e84354db058bc91d5473e1d89)
Example Flowgraph
This is a frequency demodulator. The blocks from the output of the FFT Low Pass Filter to the output of the Multiply Const block is equal to the Quadrature Demod block.
Source Files
- C++ files
- complex_to_arg_impl.cc
- Header files
- complex_to_arg_impl.h
- Public header files
- complex_to_arg.h
- Block definition
- blocks_complex_to_arg.block.yml