Fast FIR Algorithms for the Continuous Wavelet Transform From Constrained Least Squares

作者：Leigh George M^*

来源：IEEE Transactions on Signal Processing, 2013, 61(1): 28-37.

DOI：10.1109/TSP.2012.2222376

• Algorithm design and analysis
• continuous wavelet transforms
• finite impulse response filter
• signal processing algorithms

New algorithms for the continuous wavelet transform are developed that are easy to apply, each consisting of a single-pass finite impulse response (FIR) filter, and several times faster than the fastest existing algorithms. The single-pass filter, named WT-FIR-1, is made possible by applying constraint equations to least-squares estimation of filter coefficients, which removes the need for separate low-pass and high-pass filters. Non-dyadic two-scale relations are developed and it is shown that filters based on them can work more efficiently than dyadic ones. Example applications to the Mexican hat wavelet are presented.

• 出版日期2013-1