Authors: Damián Marelli, Kaushik Mahata and Minyue Fu

Year: November 2009

Idea: A compensation method which does not assume the input signal is bandlimited, however it has a stationary known power spectrum. (The spectrum power can also be estimated) Then compensation for timing mismatches are desiged in a statistically optimal sense.

Method:
Formulate the problem as a estimation problem. Do the estimation using a linear LMS criterion. Where the weights W are calculated to minimize the power if the reconstruction error signal.

Results:
Simulations only.

Notes:

  • Using LMS with knowledge on the spectrum. (Minimize the power of the reconstruction error signal)
  • Faster decay rate, reduces order
  • Optimization with order constraint possible
  • Proposed Wiener filter equiv filter bank compensation
  • Other methods mentioned: Eldar-Oppenheim, Johansson-Lowenborg, Prendergast-Levy-Hurst (PLH)

Look up:

  • Frobenius norm
  • Moore-Penrose pseudoinverse
  • Wiener smoother