Side-Lobe Specification (cont.)

Stacking inequalities for all $\omega_{i}$ ,

$$\left[\begin{array}{c} -d\left(\omega _1\right)^{T}\\ \vdots \\ -d\left(\omega _{K}\right)^{T}\\ d\left(\omega _1\right)^{T}\\ \vdots \\ d\left(\omega _{K}\right)^{T}\end{array}\right]h+\left[\begin{array}{c} -\delta \\ \vdots \\ -\delta \\ -\delta \\ \vdots \\ -\delta \end{array}\right] \le \mathbf{0}$$ or

$$\left[\begin{array}{cc} -d\left(\omega _1\right)^{T} & -1\\ \vdots & \vdots \\ -d\left(\omega _{K}\right)^{T} & -1\\ d\left(\omega _1\right)^{T} & -1\\ \vdots & \vdots \\ d\left(\omega _{K}\right)^{T} & -1 \end{array}\right]\left[\begin{array}{c} h\\ \delta \end{array}\right] \le \mathbf{0}.$$

I.e.,

$$\zbox{\mathbf{A}_{sb}\left[\begin{array}{c} h\\ \delta \end{array}\right] \le \mathbf{0}.}$$