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comm_tbx >> Channel simulation > iqi_simu

iqi_simu

Simulation of I/Q imbalance

Parameters

s:

reference signal, without I/Q imbalance

phi:

Phase mismatch (in radians)

g:

Relative gain mismatch

y:

output signal

Description

I/Q mismatch model: \begin{align}
Re(y_n) &= s_n \cos(\omega n)\\
Im(y_n) &= g s_n \sin(\omega n+\phi)\\
\end{align}

Or, equivalently: $$y_n = \alpha x_n + \beta x_n^\star$$ where $x_n$ is the ideal signal (free of imbalance) $x_n = s_n \cos(\omega n) + \mathbf{i} s_n \sin(\omega n)$ and $\alpha$ and $\beta$ are defined as:

\begin{align}
\alpha &= \frac{1+ge^{-i\phi}}{2}\\
\beta &= \frac{1-ge^{i\phi}}{2}\\
\end{align}

See also

Authors

Bibliography

A Low-complexity Feed-forward I/Q Imbalance Compensation Algorithm, N.A. Moseley, http://doc.utwente.nl/66726/1/moseley.pdf


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