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authorMaximilian Stiefel <stiefel.maximilian@online.de>2018-04-06 16:51:30 +0200
committerMarcus Müller <marcus@hostalia.de>2018-04-28 15:51:23 +0200
commit3068ab96dda9a05b4e3a6178354d6e228b4bf18d (patch)
tree8eddeee21a921f6c222391e0538d2f9049468010 /gr-fft
parent89f279aad64681b38a9b5fa8099c8e121cc7861d (diff)
Improved documentation for FFT block.
Fixes #1694
Diffstat (limited to 'gr-fft')
-rw-r--r--gr-fft/include/gnuradio/fft/fft_vcc.h33
-rw-r--r--gr-fft/include/gnuradio/fft/fft_vfc.h36
2 files changed, 64 insertions, 5 deletions
diff --git a/gr-fft/include/gnuradio/fft/fft_vcc.h b/gr-fft/include/gnuradio/fft/fft_vcc.h
index 1e09521b4f..28f6d1d0d4 100644
--- a/gr-fft/include/gnuradio/fft/fft_vcc.h
+++ b/gr-fft/include/gnuradio/fft/fft_vcc.h
@@ -1,6 +1,6 @@
/* -*- c++ -*- */
/*
- * Copyright 2004,2007,2008,2012 Free Software Foundation, Inc.
+ * Copyright 2004,2007,2008,2012,2018 Free Software Foundation, Inc.
*
* This file is part of GNU Radio
*
@@ -32,6 +32,29 @@ namespace gr {
/*!
* \brief Compute forward or reverse FFT. complex vector in / complex vector out.
* \ingroup fourier_analysis_blk
+ *
+ * The FFT operation is defined for a vector \f$x\f$ with \f$N\f$ uniformly
+ * sampled points by
+ *
+ * \f[ X(a) = \sum_{k=0}^{N-1} x(a) \cdot e^{-j 2\pi k a / N} \f]
+ *
+ * \f$ X = FFT\{x\} \f$ is the the FFT transform of \f$x(a)\f$, \f$j\f$ is
+ * the imaginary unit, \f$k\f$ and \f$a\f$ range from \f$0\f$ to \f$N-1\f$.
+ *
+ * The IFFT operation is defined for a vector \f$y\f$ with \f$N\f$
+ * uniformly sampled points by
+ *
+ * \f[ Y(b) = \sum_{k=0}^{N-1} y(b) \cdot e^{j 2\pi k b / N} \f]
+ *
+ * \f$Y = IFFT\{y\}\f$ is the the inverse FFT transform of \f$y(b)\f$,
+ * \f$j\f$ is the imaginary unit, \f$k\f$ and \f$b\f$ range from \f$0\f$ to
+ * \f$N-1\f$.
+ *
+ * \b Note, that due to the underlying FFTW library, the output of a FFT
+ * followed by an IFFT (or the other way arround) will be scaled i.e.
+ * \f$FFT\{ \, IFFT\{x\} \,\} = N \cdot x \neq x\f$.
+ *
+ * \see http://www.fftw.org/faq/section3.html#whyscaled
*/
class FFT_API fft_vcc : virtual public sync_block
{
@@ -39,7 +62,13 @@ namespace gr {
// gr::fft::fft_vcc::sptr
typedef boost::shared_ptr<fft_vcc> sptr;
-
+ /*! \brief
+ * \param[in] fft_size N.
+ * \param[in] forward True performs FFT, False performs IFFT.
+ * \param[in] window Window function to be used.
+ * \param[in] shifted True moves DC carrier to the middle.
+ * \param[in] nthreads Number of underlying threads.
+ */
static sptr make(int fft_size, bool forward,
const std::vector<float> &window,
bool shift=false, int nthreads=1);
diff --git a/gr-fft/include/gnuradio/fft/fft_vfc.h b/gr-fft/include/gnuradio/fft/fft_vfc.h
index 91ed81fb17..5639465ab5 100644
--- a/gr-fft/include/gnuradio/fft/fft_vfc.h
+++ b/gr-fft/include/gnuradio/fft/fft_vfc.h
@@ -1,6 +1,6 @@
/* -*- c++ -*- */
/*
- * Copyright 2004,2010,2012 Free Software Foundation, Inc.
+ * Copyright 2004,2010,2012,2018 Free Software Foundation, Inc.
*
* This file is part of GNU Radio
*
@@ -30,16 +30,46 @@ namespace gr {
namespace fft {
/*!
- * \brief Compute forward or reverse FFT. float vector in / complex vector out.
+ * \brief Compute forward or reverse FFT. complex vector in / complex vector out.
* \ingroup fourier_analysis_blk
+ *
+ * The FFT operation is defined for a vector \f$x\f$ with \f$N\f$ uniformly
+ * sampled points by
+ *
+ * \f[ X(a) = \sum_{k=0}^{N-1} x(a) \cdot e^{-j 2\pi k a / N} \f]
+ *
+ * \f$ X = FFT\{x\} \f$ is the the FFT transform of \f$x(a)\f$, \f$j\f$ is
+ * the imaginary unit, \f$k\f$ and \f$a\f$ range from \f$0\f$ to \f$N-1\f$.
+ *
+ * The IFFT operation is defined for a vector \f$y\f$ with \f$N\f$
+ * uniformly sampled points by
+ *
+ * \f[ Y(b) = \sum_{k=0}^{N-1} y(b) \cdot e^{j 2\pi k b / N} \f]
+ *
+ * \f$Y = IFFT\{y\}\f$ is the the inverse FFT transform of \f$y(b)\f$,
+ * \f$j\f$ is the imaginary unit, \f$k\f$ and \f$b\f$ range from \f$0\f$ to
+ * \f$N-1\f$.
+ *
+ * \b Note, that due to the underlying FFTW library, the output of a FFT
+ * followed by an IFFT (or the other way arround) will be scaled i.e.
+ * \f$FFT\{ \, IFFT\{x\} \,\} = N \cdot x \neq x\f$.
+ *
+ * \see http://www.fftw.org/faq/section3.html#whyscaled
*/
- class FFT_API fft_vfc : virtual public sync_block
+ class FFT_API fft_vfc : virtual public sync_block
{
public:
// gr::fft::fft_vfc::sptr
typedef boost::shared_ptr<fft_vfc> sptr;
+ /*! \brief
+ * \param[in] fft_size N.
+ * \param[in] forward True performs FFT, False performs IFFT.
+ * \param[in] window Window function to be used.
+ * \param[in] shifted True moves DC carrier to the middle.
+ * \param[in] nthreads Number of underlying threads.
+ */
static sptr make(int fft_size, bool forward,
const std::vector<float> &window,
int nthreads=1);