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Авторизация |
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Loan C. — Computational Frameworks for the Fast Fourier Transform (Frontiers in Applied Mathematics) |
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Предметный указатель |
Software xii—xiii
Sparse factorization idea 17—18
Speed of fast Fourier transforms 15
Speedup 168
Split-radix, butterfly 113
Split-radix, computation tree 114
Split-radix, derivation 115—118
Split-radix, flop analysis 119
Split-radix, framework 118
Split-radix, recursive specification 115
Split-radix, splitting 111—113
Splitting factors 95
Splitting, radix-2 12—14
Splitting, radix-p 78—80
Splitting, split-radix 111—113
Stockham framework, mixed-radix 95—96 100—101
Stockham framework, multiple DFTs and 122—123
Stockham framework, radix-2 49ff
Stockham framework, radix-4 105—106
Stride 31—32 45 125
Structured splitting framework 243—245
SubMatrix 4
Three-dimensional FFT 150—152
Toeplitz matrix, definition 208
Toeplitz matrix, times vector 209
Trace 213
Transposed Stockham framework, mixed-radix 95—96 98
Transposed Stockham framework, radix-2 50ff
Transposed Stockham framework, shared-memory 179—181
Transposition and memory bank conflict 126
Transposition by diagonal 126
Transposition by permutation cycles 127
Transposition in hierarchical memory 127ff
| Transposition, distributed-memory 169
Transposition, Fraser 133—138
Transposition, scalar 126
Transposition, shared-memory 182—183
Truncated Stockham framework 125
Twiddle-factor methods see "Four-step or six-step frameworks"
Twiddle-factor scaling, blocking 142
Twiddle-factor scaling, definition of 139
Two-dimensional convolution 212—214
Two-dimensional DFT and bit-reversal 150
Two-dimensional FFT 148ff
Unit roundoff 23
Unit stride 57—58 125
Vector computer 9
Vector length 57—58 122
Vector operations 9
Vector performance 33—34
Vector symmetries 234
Vector-radix framework 148—150
Vectorization 34
Weight precomputation in radix-4 setting 106—107
Weight precomputation, direct call 23
Weight precomputation, forward recursion 25
Weight precomputation, Givens rotations and 24—25
Weight precomputation, logarithmic recursion 26
Weight precomputation, long weight vector 34—35
Weight precomputation, off-line 30—31
Weight precomputation, on-line 30—31
Weight precomputation, recursive bisection 27
Weight precomputation, repeated multiplication 24
Weight precomputation, roundoff error and 22ff 28
Weight precomputation, stability and 28
Weight precomputation, subvector scaling 24
Weight vector symmetries 28
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