fastmath.transform — generateme/fastmath 2.0.3

Transforms.

See transformer and [[TransformProto]] for details.

Wavelet

Based on JWave library.

Be aware that some of the wavelet types doesn't work properly. :battle-23, :cdf-53, :cdf-97.

Cos/Sin/Hadamard

Orthogonal or standard fast sine/cosine/hadamard 1d transforms.

Fourier

DFT.

compress clj

(compress xs mag)

(compress trans xs mag)

Compress transformed signal xs with given magnitude mag.

denoise clj

(denoise xs)

(denoise xs soft?)

(denoise trans xs soft?)

Adaptive denoising of time series (1d).

Use on transformed sequences or call with transformer object.

SMILE implementation of WaveletShrinkage denoise function.

forward-1d clj

(forward-1d t xs)

Forward transform of sequence or array.

forward-2d clj

(forward-2d t xss)

Forward transform of sequence or array.

reverse-1d clj

(reverse-1d t xs)

Forward transform of sequence or array.

reverse-2d clj

(reverse-2d t xss)

Forward transform of sequence or array.

transformer clj multimethod

Create transform object for given wavelet.

Wavelets

• :fast for 1d or 2d Fast Wavelet Transform. Size of data should be power of 2.
• :packet for 1d or 2d Wavelet Packet Transform. Size of data should be power of 2.
• :decomposed-fast for 1d Fast Wavelet Transform. Data can have any size (Ancient Egyptian Decomposition is used).
• :decomposed-packet for 1d Wavelet Packet Transform. Data can have any size (Ancient Egyptian Decomposition is used).

Second argument is wavelet name as key. See wavelets-list for all supported names.

Sine/Cosine/Hadamard

• :standard for 1d :sine, :cosine, :hadamard.
• :orthogonal for 1d :sine, :cosine.

Note that :sine and :cosine require first element to be equal 0. Size of data should be power of 2.

Fourier

• :standard :dft - 1d Discrete Fourier Transform - returns double-array where even elements are real part, odd elements are imaginary part.

wavelets-list clj

List of all possible wavelets.