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The decimation-in-frequency algorithms for a family of discrete sine and cosine transforms

https://doi.org/10.1007/bf01600005
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What this work says

Outgoing claims: the papers this work cites, builds on, or argues with.

inferredcites →https://doi.org/10.1007/bf01599167openalex-snapshot
Fast decimation-in-time algorithms for a family of discrete sine and cosine transforms
inferredcites →https://doi.org/10.1016/0165-1684(84)90059-8openalex-snapshot
Simple FFT and DCT algorithms with reduced number of operations
inferredcites →https://doi.org/10.1080/00207217808900821openalex-snapshot
Comparative performance of various trigonometric unitary transforms for transform image coding
inferredcites →https://doi.org/10.1109/icassp.1985.1168246openalex-snapshot
DIF Algorithms for DCT and DST
inferredcites →https://doi.org/10.1109/t-c.1974.223784openalex-snapshot
Discrete Cosine Transform
inferredcites →https://doi.org/10.1109/tassp.1984.1164399openalex-snapshot
Fast algorithms for the discrete W transform and for the discrete Fourier transform
inferredcites →https://doi.org/10.1109/tassp.1984.1164443openalex-snapshot
A new algorithm to compute the discrete cosine Transform
inferredcites →https://doi.org/10.1109/tassp.1985.1164710openalex-snapshot
On computing the discrete Fourier and cosine transforms
inferredcites →https://doi.org/10.1109/tassp.1986.1164854openalex-snapshot
Fast algorithms for the DFT and other sinusoidal transforms
inferredcites →https://doi.org/10.1109/tc.1980.1675570openalex-snapshot
A Symmetric Cosine Transform
inferredcites →https://doi.org/10.1109/tcom.1976.1093409openalex-snapshot
A Fast Karhunen-Loeve Transform for a Class of Random Processes
inferredcites →https://doi.org/10.1109/tcom.1977.1093941openalex-snapshot
A Fast Computational Algorithm for the Discrete Cosine Transform
inferredcites →https://doi.org/10.1109/tcom.1980.1094656openalex-snapshot
A Fast Computational Algorithm for the Discrete Sine Transform

What points at this work

Incoming claims: where this work appears in other papers’ reference lists and arguments.

inferred← citeshttps://doi.org/10.1007/3-540-45350-4_14openalex-snapshot
Code Generators for Automatic Tuning of Numerical Kernels: Experiences with FFTW Position Paper
inferred← citeshttps://doi.org/10.1007/bf00930645openalex-snapshot
Multidimensional fourier transforms by systolic architectures
inferred← citeshttps://doi.org/10.1007/bf01599762openalex-snapshot
Fast prime factor decomposition algorithms for a family of discrete trigonometric transforms
inferred← citeshttps://doi.org/10.1007/s11045-014-0291-6openalex-snapshot
An orthogonal 16-point approximate DCT for image and video compression
inferred← citeshttps://doi.org/10.1007/s11045-018-0601-5openalex-snapshot
Low-complexity 8-point DCT approximation based on angle similarity for image and video coding
inferred← citeshttps://doi.org/10.1007/s11265-023-01848-wopenalex-snapshot
Extensions on Low-Complexity DCT Approximations for Larger Blocklengths Based on Minimal Angle Similarity
inferred← citeshttps://doi.org/10.1007/s40314-019-0971-9openalex-snapshot
The eigen-structures of real (skew) circulant matrices with some applications
inferred← citeshttps://doi.org/10.1016/b978-0-08-092534-9.50028-xopenalex-snapshot
REFERENCES
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Systolic Architecture for Implementation of 2-D Discrete Sine Transform
inferred← citeshttps://doi.org/10.1016/s0165-1684(03)00109-9openalex-snapshot
The fast DCT-IV/DST-IV computation via the MDCT
inferred← citeshttps://doi.org/10.1049/ip-f-2.1990.0063openalex-snapshot
Direct methods for computing discrete sinusoidal transforms
inferred← citeshttps://doi.org/10.1080/00207219208925663openalex-snapshot
A fault detecting DCT architecture
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Restructured recursive DCT and DST algorithms
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Efficient direction-finding methods employing forward/backward averaging
inferred← citeshttps://doi.org/10.1109/78.80852openalex-snapshot
Cepstrum analysis using discrete trigonometric transforms
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Automatic generation of fast discrete signal transforms
inferred← citeshttps://doi.org/10.1109/82.127302openalex-snapshot
Fast algorithms for computing the discrete cosine transform
inferred← citeshttps://doi.org/10.1109/acssc.1989.1200843openalex-snapshot
Split-radix algorithms for DCT and DST
inferred← citeshttps://doi.org/10.1109/icassp.1991.150852openalex-snapshot
Regular FFT-related transform kernels for DCT/DST-based polyphase filter banks
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A new radix-3 fast algorithm for computing the DST-II
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Low-Complexity and High-Quality Frame-Skipping Transcoder for Continuous Presence Multipoint Video Conferencing
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Algebraic Signal Processing Theory: Cooley–Tukey Type Algorithms for DCTs and DSTs
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Algebraic Signal Processing Theory: Cooley–Tukey Type Algorithms for Real DFTs
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The Algebraic Approach to the Discrete Cosine and Sine Transforms and Their Fast Algorithms
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Algorithm 749: fast discrete cosine transform
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