Circuits, Systems, and Signal Processing
Computational frameworks for the fast Fourier transform
Computational frameworks for the fast Fourier transform
SPL: a language and compiler for DSP algorithms
Proceedings of the ACM SIGPLAN 2001 conference on Programming language design and implementation
Automatic generation of fast discrete signal transforms
IEEE Transactions on Signal Processing
Decomposing monomial representations of solvable groups
Journal of Symbolic Computation
Linear analysis and optimization of stream programs
PLDI '03 Proceedings of the ACM SIGPLAN 2003 conference on Programming language design and implementation
Design and evaluation of a compiler for embedded stream programs
Proceedings of the 2008 ACM SIGPLAN-SIGBED conference on Languages, compilers, and tools for embedded systems
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We present a computer algebra framework to automatically derive and implement algorithms for digital signal processing. The two main parts of the framework are AREP, a library for symbolic manipulation of group representations and structured matrices, and SPL, a compiler turning matrix expressions into efficient imperative-style numerical programs.