/** * \file Ifx_FftF32.h * \brief Floating-point Fast Fourier Transform * \ingroup library_srvsw_sysse_math_f32_fft * * * * \version disabled * \copyright Copyright (c) 2013 Infineon Technologies AG. All rights reserved. * * * IMPORTANT NOTICE * * * Use of this file is subject to the terms of use agreed between (i) you or * the company in which ordinary course of business you are acting and (ii) * Infineon Technologies AG or its licensees. If and as long as no such * terms of use are agreed, use of this file is subject to following: * Boost Software License - Version 1.0 - August 17th, 2003 * Permission is hereby granted, free of charge, to any person or * organization obtaining a copy of the software and accompanying * documentation covered by this license (the "Software") to use, reproduce, * display, distribute, execute, and transmit the Software, and to prepare * derivative works of the Software, and to permit third-parties to whom the * Software is furnished to do so, all subject to the following: * The copyright notices in the Software and this entire statement, including * the above license grant, this restriction and the following disclaimer, must * be included in all copies of the Software, in whole or in part, and all * derivative works of the Software, unless such copies or derivative works are * solely in the form of machine-executable object code generated by a source * language processor. * THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR * IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY, * FITNESS FOR A PARTICULAR PURPOSE, TITLE AND NON-INFRINGEMENT. IN NO EVENT * SHALL THE COPYRIGHT HOLDERS OR ANYONE DISTRIBUTING THE SOFTWARE BE LIABLE * FOR ANY DAMAGES OR OTHER LIABILITY, WHETHER IN CONTRACT, TORT OR OTHERWISE, * ARISING FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER * DEALINGS IN THE SOFTWARE. * * \defgroup library_srvsw_sysse_math_f32_fft Floating-point FFT * This module implements the Fast Fourier Transform in single precision floating-point * \ingroup library_srvsw_sysse_math_f32 * */ #ifndef IFX_FFTF32_H #define IFX_FFTF32_H #include "Ifx_Cf32.h" /** \brief Maximum FFT resolution (bits). * If redefined, then \ref Ifx_g_FftF32_bitReverseTable and \ref Ifx_g_FftF32_twiddleTable shall be regenerated. */ #define IFX_FFTF32_MAX_RESOLUTION (14) /** \brief Maximum FFT length. * If redefined, then \ref Ifx_g_FftF32_bitReverseTable and \ref Ifx_g_FftF32_twiddleTable shall be regenerated. */ #define IFX_FFTF32_MAX_LENGTH (1U << IFX_FFTF32_MAX_RESOLUTION) /** \brief Bit reversal table */ IFX_EXTERN IFX_CONST uint16 Ifx_g_FftF32_bitReverseTable[IFX_FFTF32_MAX_LENGTH]; /** \brief Twiddle factor table */ IFX_EXTERN IFX_CONST cfloat32 Ifx_g_FftF32_twiddleTable[IFX_FFTF32_MAX_LENGTH / 2]; //---------------------------------------------------------------------------------------- /** \addtogroup library_srvsw_sysse_math_f32_fft * \{ */ /** \name Transform functions * \{ */ /** \brief Twiddle factor generator */ IFX_EXTERN cfloat32 *Ifx_FftF32_generateTwiddleFactor(cfloat32 *TF, sint16 nX); /** \brief Radix-2 Fast-Fourier Transform */ IFX_EXTERN cfloat32 *Ifx_FftF32_radix2(cfloat32 *R, const cfloat32 *X, uint16 nX); /** \brief Radix-2 Inverse Fast-Fourier Transform */ IFX_EXTERN cfloat32 *Ifx_FftF32_radix2I(cfloat32 *R, const cfloat32 *X, uint16 nX); /** \} */ //---------------------------------------------------------------------------------------- /** \name Utility functions * \{ */ /** \brief Lookup from \ref Ifx_g_FftF32_bitReverseTable the bit-reversed \ with \ as number of bits */ IFX_INLINE uint16 Ifx_FftF32_lookUpReversedBits(uint16 n, unsigned bits) { unsigned shift = IFX_FFTF32_MAX_RESOLUTION - bits; uint16 index = Ifx_g_FftF32_bitReverseTable[n]; return index >> shift; } /** \brief Lookup from \ref Ifx_g_FftF32_twiddleTable the twiddle factor for N, k */ IFX_INLINE cfloat32 Ifx_FftF32_lookUpTwiddleFactor(sint32 N, sint32 k) { return Ifx_g_FftF32_twiddleTable[k * IFX_FFTF32_MAX_LENGTH / N]; } /** \brief Calculate the bit-reversed \ with \ as number of bits */ IFX_EXTERN uint16 Ifx_FftF32_reverseBits(uint16 n, unsigned bits); /** \} */ //---------------------------------------------------------------------------------------- /** \} */ #endif /* IFX_FFTF32_H */