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author | Determinant <[email protected]> | 2015-08-14 11:51:42 +0800 |
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committer | Determinant <[email protected]> | 2015-08-14 11:51:42 +0800 |
commit | 96a32415ab43377cf1575bd3f4f2980f58028209 (patch) | |
tree | 30a2d92d73e8f40ac87b79f6f56e227bfc4eea6e /kaldi_io/src/kaldi/matrix/srfft.h | |
parent | c177a7549bd90670af4b29fa813ddea32cfe0f78 (diff) |
add implementation for kaldi io (by ymz)
Diffstat (limited to 'kaldi_io/src/kaldi/matrix/srfft.h')
-rw-r--r-- | kaldi_io/src/kaldi/matrix/srfft.h | 132 |
1 files changed, 132 insertions, 0 deletions
diff --git a/kaldi_io/src/kaldi/matrix/srfft.h b/kaldi_io/src/kaldi/matrix/srfft.h new file mode 100644 index 0000000..c0d36af --- /dev/null +++ b/kaldi_io/src/kaldi/matrix/srfft.h @@ -0,0 +1,132 @@ +// matrix/srfft.h + +// Copyright 2009-2011 Microsoft Corporation; Go Vivace Inc. +// 2014 Daniel Povey +// +// See ../../COPYING for clarification regarding multiple authors +// +// Licensed under the Apache License, Version 2.0 (the "License"); +// you may not use this file except in compliance with the License. +// You may obtain a copy of the License at +// +// http://www.apache.org/licenses/LICENSE-2.0 +// +// THIS CODE IS PROVIDED *AS IS* BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY +// KIND, EITHER EXPRESS OR IMPLIED, INCLUDING WITHOUT LIMITATION ANY IMPLIED +// WARRANTIES OR CONDITIONS OF TITLE, FITNESS FOR A PARTICULAR PURPOSE, +// MERCHANTABLITY OR NON-INFRINGEMENT. +// See the Apache 2 License for the specific language governing permissions and +// limitations under the License. +// +// This file includes a modified version of code originally published in Malvar, +// H., "Signal processing with lapped transforms, " Artech House, Inc., 1992. The +// current copyright holder of the original code, Henrique S. Malvar, has given +// his permission for the release of this modified version under the Apache +// License v2.0. + +#ifndef KALDI_MATRIX_SRFFT_H_ +#define KALDI_MATRIX_SRFFT_H_ + +#include "matrix/kaldi-vector.h" +#include "matrix/kaldi-matrix.h" + +namespace kaldi { + +/// @addtogroup matrix_funcs_misc +/// @{ + + +// This class is based on code by Henrique (Rico) Malvar, from his book +// "Signal Processing with Lapped Transforms" (1992). Copied with +// permission, optimized by Go Vivace Inc., and converted into C++ by +// Microsoft Corporation +// This is a more efficient way of doing the complex FFT than ComplexFft +// (declared in matrix-functios.h), but it only works for powers of 2. +// Note: in multi-threaded code, you would need to have one of these objects per +// thread, because multiple calls to Compute in parallel would not work. +template<typename Real> +class SplitRadixComplexFft { + public: + typedef MatrixIndexT Integer; + + // N is the number of complex points (must be a power of two, or this + // will crash). Note that the constructor does some work so it's best to + // initialize the object once and do the computation many times. + SplitRadixComplexFft(Integer N); + + // Does the FFT computation, given pointers to the real and + // imaginary parts. If "forward", do the forward FFT; else + // do the inverse FFT (without the 1/N factor). + // xr and xi are pointers to zero-based arrays of size N, + // containing the real and imaginary parts + // respectively. + void Compute(Real *xr, Real *xi, bool forward) const; + + // This version of Compute takes a single array of size N*2, + // containing [ r0 im0 r1 im1 ... ]. Otherwise its behavior is the + // same as the version above. + void Compute(Real *x, bool forward); + + + // This version of Compute is const; it operates on an array of size N*2 + // containing [ r0 im0 r1 im1 ... ], but it uses the argument "temp_buffer" as + // temporary storage instead of a class-member variable. It will allocate it if + // needed. + void Compute(Real *x, bool forward, std::vector<Real> *temp_buffer) const; + + ~SplitRadixComplexFft(); + + protected: + // temp_buffer_ is allocated only if someone calls Compute with only one Real* + // argument and we need a temporary buffer while creating interleaved data. + std::vector<Real> temp_buffer_; + private: + void ComputeTables(); + void ComputeRecursive(Real *xr, Real *xi, Integer logn) const; + void BitReversePermute(Real *x, Integer logn) const; + + Integer N_; + Integer logn_; // log(N) + + Integer *brseed_; + // brseed is Evans' seed table, ref: (Ref: D. M. W. + // Evans, "An improved digit-reversal permutation algorithm ...", + // IEEE Trans. ASSP, Aug. 1987, pp. 1120-1125). + Real **tab_; // Tables of butterfly coefficients. + + KALDI_DISALLOW_COPY_AND_ASSIGN(SplitRadixComplexFft); +}; + +template<typename Real> +class SplitRadixRealFft: private SplitRadixComplexFft<Real> { + public: + SplitRadixRealFft(MatrixIndexT N): // will fail unless N>=4 and N is a power of 2. + SplitRadixComplexFft<Real> (N/2), N_(N) { } + + /// If forward == true, this function transforms from a sequence of N real points to its complex fourier + /// transform; otherwise it goes in the reverse direction. If you call it + /// in the forward and then reverse direction and multiply by 1.0/N, you + /// will get back the original data. + /// The interpretation of the complex-FFT data is as follows: the array + /// is a sequence of complex numbers C_n of length N/2 with (real, im) format, + /// i.e. [real0, real_{N/2}, real1, im1, real2, im2, real3, im3, ...]. + void Compute(Real *x, bool forward); + + + /// This is as the other Compute() function, but it is a const version that + /// uses a user-supplied buffer. + void Compute(Real *x, bool forward, std::vector<Real> *temp_buffer) const; + + private: + KALDI_DISALLOW_COPY_AND_ASSIGN(SplitRadixRealFft); + int N_; +}; + + +/// @} end of "addtogroup matrix_funcs_misc" + +} // end namespace kaldi + + +#endif + |