functionwavRec1
Wavelet reconstruction using coefficients from a single level
Information
This function carries out a modified wavelet reconstruction: It reconstructs the signal with the wavelet coefficients from only one single level. All other coefficients are set zero. This operation is useful for some wavelet analysis, e.g. multi-resolution analysis and wavelet de-noising.
The definitions of input parameters, c and len, are same as the function wavDec().
Refer to the section of wavelet Families for the detailed information about the available wavelets.
The default input values provide a quick example.
Inputs
| Type | Name | Default | Description |
|---|---|---|---|
| Real[:] | c | {-0.707, -0.707, -0.707, -0.7069999999999999, -0.707, -0.7069999999999999, 0.707, 0.0, -1.9993959999999997, -1.9993959999999997, 0.49984899999999993, -1.4135729719999994, 3.1805391869999995, 5.6542918879999995, 3.887325672999999} | Wavelet coefficients of all levels |
| Integer[:] | len | {13, 7, 4, 2, 2} | Lengths of coefficients of all levels |
| Real[:] | lor | {0.707, 0.707} | Low pass filter for reconstruction |
| Real[size(lor, 1)] | hir | {0.707, -0.707} | High pass filter for reconstruction |
| Integer | level | 2 | The level to be reconstructed. 1..N are for the detail levels, where N is the maximum decomposition level. 1 stands for the most detail level (highest frequency). N+1 is for the approximation level. |
Outputs
| Type | Name | Default | Description |
|---|---|---|---|
| Real[:] | y | Reconstructed signal |