For HF ionospheric channels ( frequency range 3 up to 30 MHz), I Want to make channel equalization in time domain, using MMSE criterion. I have to do it using the channel estimation.

I have some questions:

  1. Can some one elaborate more on the closed-form solution solution for the feedforward and feedback FIR filters ?
  2. And what is the exact relation between the number of taps of the filters and the channel delay spread ?

Any help will be really appreciated

Thank you


1 Answer 1


It seems that this PhD dissertation covers part of your question: « Improved receivers for digital High Frequency communications: Iterative channel estimation, equalization, and decoding (adaptive turbo equalization)» https://ntnuopen.ntnu.no/ntnu-xmlui/bitstream/handle/11250/249838/126139_FULLTEXT01.pdf?sequence=1&isAllowed=y

Edit: 4.2 tapped delay line model, 4.11-4.13 relates the (complex baseband) tapped delay line to physical channel multipath. (p.p 57)

  • $\begingroup$ That is a 200 page document. You put it as an answer so I assume you read it either partially or fully and found some parts helpful, could you put those parts in your answer and leave the link as a reference? $\endgroup$
    – Engineer
    Mar 2, 2020 at 17:22
  • $\begingroup$ there is a fromula to output the filter coefficients based on the MMSE criterion $\endgroup$
    – Abby_DSP
    Mar 9, 2020 at 17:04

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