Wavelet Transform Calculator

Calculate discrete wavelet transform for multi-resolution signal analysis.

Transform Parameters

DWT Decomposition

Signal β†’ Low-pass (Approximation) + High-pass (Detail)

Quick Examples

Wavelet Decomposition (HAAR)

Level 1 of 3

Padded length: 8

Approximation Coefficients (cA)

[2.121, 4.950, 4.950, 2.121]

Detail Coefficients (cD)

[-0.707, -0.707, 0.707, 0.707]

Energy Distribution

Original Signal60.0000
Detail Level 12.0000
Final Approximation58.0000

Properties

  • β€’ Perfect reconstruction possible
  • β€’ Energy preserved: β‰ˆ60.0000
  • β€’ Approximation = low frequency content
  • β€’ Detail = high frequency content