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fastmath.transform

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, FFT, DHT.

Transforms.

See [[transformer]] and [[TransformProto]] for details.

### Wavelet

Based on [JWave](https://github.com/cscheiblich/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, FFT, DHT.
raw docstring

compressclj

(compress xs mag)
(compress trans xs mag)

Compress transformed signal xs with given magnitude mag.

Compress transformed signal `xs` with given magnitude `mag`.
sourceraw docstring

compress-peaks-averageclj

(compress-peaks-average xs)
(compress-peaks-average trans xs)

Compress transformed signal xs with peaks average as a magnitude

Compress transformed signal `xs` with peaks average as a magnitude
sourceraw docstring

denoiseclj

(denoise xs)
(denoise xs
         {:keys [method threshold skip]
          :or {method :hard threshold :universal skip 0}})
(denoise trans xs method)

Wavelet shrinkage with some threshold.

Methods can be:

  • :hard (default)
  • :soft
  • :garrote
  • :hyperbole

:threshold can be a number of one of the denoise-threshold methods (default: :visu)

:skip can be used to leave :skip number of coefficients unaffected (default: 0)

Use on transformed sequences or call with transformer object.

Wavelet shrinkage with some threshold.

Methods can be:
* `:hard` (default)  
* `:soft`
* `:garrote`
* `:hyperbole`

`:threshold` can be a number of one of the [[denoise-threshold]] methods (default: `:visu`)

`:skip` can be used to leave `:skip` number of coefficients unaffected (default: 0)

Use on transformed sequences or call with transformer object.
sourceraw docstring

denoise-thresholdclj

(denoise-threshold xs threshold)

Calculate optimal denoise threshold.

threshold is one of the following

  • :visu - based on median absolute deviation estimate (default)
  • :universal - based on standard deviation estimate
  • :sure or :rigrsure - based on SURE estimator
  • :hybrid or :heursure - hybrid SURE estimator
Calculate optimal denoise threshold.

`threshold` is one of the following

* `:visu` - based on median absolute deviation estimate (default)
* `:universal` - based on standard deviation estimate
* `:sure` or `:rigrsure` - based on SURE estimator
* `:hybrid` or `:heursure` - hybrid SURE estimator
sourceraw docstring

forward-1dclj

(forward-1d t xs)

Forward transform of sequence or array.

Forward transform of sequence or array.
sourceraw docstring

forward-2dclj

(forward-2d t xss)

Forward transform of sequence or array.

Forward transform of sequence or array.
sourceraw docstring

reverse-1dclj

(reverse-1d t xs)

Forward transform of sequence or array.

Forward transform of sequence or array.
sourceraw docstring

reverse-2dclj

(reverse-2d t xss)

Forward transform of sequence or array.

Forward transform of sequence or array.
sourceraw docstring

transformercljmultimethod

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.
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.
sourceraw docstring

wavelets-listclj

List of all possible wavelets.

List of all possible wavelets.
sourceraw docstring

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