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Likewise, side-lobe specification can be enforced at frequencies
in the stop-band.
![$\displaystyle -\delta \leq d\left(\omega _{i}\right)^{T}h\leq \delta$](img603.png) |
(4.71) |
or
![$\displaystyle \left\{ \begin{array}{ccc} -d\left(\omega _{i}\right)^{T}h-\delta & \leq & 0\\ \;d\left(\omega _{i}\right)^{T}h-\delta & \leq & 0\end{array} \right.$](img604.png) |
(4.72) |
where
![$\displaystyle \omega _{sb}\leq \omega _1,\omega _{2}\ldots ,\omega _{K}\leq \pi .$](img605.png) |
(4.73) |
We need
to obtain many frequency samples per side lobe.
Stacking inequalities for all
,
I.e.,
![$\displaystyle \zbox {\mathbf{A}_{sb}\left[\begin{array}{c} h\\ \delta \end{array} \right] \le \mathbf{0}.}$](img612.png) |
(4.74) |
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