A 3D fast Fourier transform method with a linear-programming-derived power spectrum simulates CMB maps on partial-sky patches, with operation-count scaling suggesting speed advantages over HEALPix for some survey sizes.
Accelerating spherical harmonic transforms for a large number of sky maps
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abstract
The spherical harmonic transform is a powerful tool in the analysis of spherical data sets, such as the cosmic microwave background data. In this work, we present a new scheme for the spherical harmonic transforms that supports both CPU and GPU computations, which is specially efficient on a large number of sky maps. By comparing our implementation with the standard Libsharp-HEALPix program, we demonstrate 2-10 times speedup for the CPU implementation, and up to 30 times speedup when a state-of-the-art GPU is employed. This new scheme's software package is available via an open source GitHub repository.
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Simulating Partial Sky Cosmic Microwave Background Maps with 3D Fast Fourier Transforms
A 3D fast Fourier transform method with a linear-programming-derived power spectrum simulates CMB maps on partial-sky patches, with operation-count scaling suggesting speed advantages over HEALPix for some survey sizes.