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Results tagged with equalization
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user 4298
1
vote
Accepted
Factoring the Z-transform of an autocorrelation into $F(z)F^*(1/z)$
If $F^*(1/z)$ is supposed to denote $[F(1/z)]^*$, then the book would be wrong. Note that
$$\big[F(1/z)\big]^*=\left[\sum_{n=-\infty}^{\infty}f[n]z^n\right]^*=\sum_{n=-\infty}^{\infty}f^*[n](z^*)^n$$
…
- 92.5k
1
vote
Accepted
Convolution that outputs a unit impulse
This problem is related to deconvolution and equalization. …
- 92.5k
3
votes
Accepted
how to set Equalizer's coefficient using generalized eigenvector.
The generalized eigenvalue problem is given by
$$Bw=\lambda Cw\tag{1}$$
where $\lambda$ is the generalized eigenvalue of the matrices $B$ and $C$. Multiplying $(1)$ from the left with $w^H$ (with $^ …
- 92.5k
2
votes
estimate the impulse response after equalization
Note that what you're trying to do is equalization, as opposed to channel estimation. …
- 92.5k
2
votes
Inter Symbol Interference (ISI) / Equalization in Digital Signal Processing
If the channel just adds noise and does not cause any distortion (as in the first figure), you can design the transmit filter $g(t)$ such that, when combined with its matched filter at the receiver, t …
- 92.5k
5
votes
Accepted
Given an FIR filter coefficients, how can I find coefficients of its equalizer filter?
In practice you can design an approximate equalization filter by choosing the filter coefficients of the equalizer such that the error
$$\epsilon=\sum_i\left|H(e^{j\omega_i})E(e^{j\omega_i})-e^{-j\omega_i …
- 92.5k
6
votes
Accepted
Why are equalizers moving average model (FIR)
Also, perfect equalization of the channel is not always desired if the channel is not only dispersive (i.e., acts a filter) but if it also introduces noise. …
- 92.5k
1
vote
Accepted
Help in deriving the update rule for equalizer
The mapping from $z_n$ to $s_n$ is not bijective, so it can't be inverted. This means that even in the transmitter, $z_n$ cannot be recovered from $s_n$. This is why the constant modulus algorithm (CM …
- 92.5k
5
votes
Accepted
Use of equalizers in communication systems for Intersymbol Interference
There are also methods that do not require a training sequence; these methods are referred to as blind equalization (e.g. constant modulus algorithm). …
- 92.5k
7
votes
Accepted
MATLAB : Proper estimation of weights and how to calculate MSE for QPSK signal for Constant ...
signal), and in such noisy conditions the CMA cannot perform properly.
you have a channel with $3$ taps, and your equalizer length is also only $3$ taps; this is much too short to achieve any reasonable equalization …
- 92.5k
3
votes
Maximum Likelihood Derivation
The formula you need, which I don't see in the scanned pages, is the N-dimensional Gaussian distribution of the received vector given that the signal $s_m$ was transmitted:
$$f(\vec{r}|s_m)=\frac{1}{ …
- 92.5k
-1
votes
Conditions for precoding matrix to preserve complex conjugate symmetry on DFT vector
If I'm not mistaken the only solution for $\mathbf{T}$ which is independent of the vector $\mathbf{X}$ is a diagonal (complex) matrix, where the diagonal satisfies the complex conjugate symmetry.
EDI …
- 92.5k