# Tag Info

### do digital equalizers use Fourier transforms?

Fourier transform technology Well, Fourier theory is behind every kind of equalizer. We wouldn't know what "equal" means without; the Fourier transform is how we know how to describe a ...
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### Why are equalizers moving average model (FIR)

The reason why almost all linear adaptive equalizers are implemented as FIR filters is that FIR filters are always stable and that there exist relatively simple and effective adaptation algorithms. ...
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### Given an FIR filter coefficients, how can I find coefficients of its equalizer filter?

Assuming that you also want to equalize the filter's phase response (not only its magnitude response), you need an equalizer with a transfer function $E(z)$ that is the inverse of the FIR filter's ...
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### OFDM time vs. frequency domain channel estimation/equalization

Traditionally, OFDM became popular in WiFi and LTE because the channel model consisted of multi-path. That is, the radio signal transmitted in 1-6GHz frequencies bounced from various obstacles (walls, ...

### Group delay compensation for non coincident drivers

For the first question, given the linear process, what you do to the sum with regards to filtering is equivalent to what you do to each and then sum. For the second question, the dip is in the ...

### Why do inverted impulse responses sound awful when applied to an audio system?

For simplicity we assume that the room and the source are fixed. A room's impulse response depends on a LOT of different factors which include the exact position, directivity and orientation of the ...

### Least Squares Solution Using the DFT vs Wiener-Hopf Equations

Following Royi's derivation, we want to show that, \begin{align} \hat{h} = \arg \min_h||Xh - y||^2 = (X^T X)^{-1} X^H y = IDFT(Y \oslash X) \end{align} where $X$ is a circular convolution matrix ...
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### Matlab: What should be the BER performance for BPSK using Constant Modulus Algorithm equalizer

Well, I took a look at your code, and spent a lot of time on it, and I have discovered some mistakes, some practicals and some theoretics. Here are my answers: (1) You can use the function filter. ...
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### What is the difference between an equalizer and a channel estimator?

In communication systems, transmitted signals are distorted by the physical medium (the channel) charactheristics. The channel estimator tries to identify the transmission channel characteristics, by ...

### Group delay compensation for non coincident drivers

I'm not sure whether this is a purely academic exercise or supposed to do something useful in the real world. Assuming it's the later, there are a few additional points to consider Typically when ...

### CMA Equaliser and FSK

The confusion comes from the fact that what is tagged as "transmitted" isn't the real transmitted waveform but its baseband representation, which are $\left\{+1,-1\right\}$ symbols in 1 dimension. For ...

### Why do the OFDM training (and payload) symbols have silent sub-carriers (aka virtual carriers)?

From the first to the sixth OFDM-Symbol you have spread virtual carriers equally across [0,..,51] with a distance of 3. With this way you have spread your 'energy' loss over a wide spectrum. In ...
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### Histogram Equalization

Assuming that in your question $T(r)$ denotes a map $:\mathbb{R}\to[0,1]$ and assuming that it is continuous and strictly increasing, then it is obviously an isomorphism among $r\in[0,1]$ onto its ...

### Remove a frequency and all its multiple (harmonics)

The choice of algorithm depends on your application scenario - i.e. there is no best solution per se. If your focus is on minimum computational requirements, a comb filter will probably be optimum. If ...