LP Formulation of Chebyshev Window Design

What we want:

Symmetric zero-phase window.
Window samples to be positive.

$\displaystyle w\left(n\right)\geq 0\qquad \mathrm{for}\quad -\frac{M-1}{2}\leq n\leq \frac{M-1}{2}=L$ (4.61)
Transform to be 1 at DC.

$\displaystyle W\left(0\right)=1$ (4.62)
Transform to be within $\left[-\delta ,\delta \right]$ in the stop-band.

$\displaystyle -\delta \leq W\left(\omega \right)\leq \delta \qquad \mathrm{for}\quad \omega _{sb}\leq \omega \leq \pi$ (4.63)
And $\delta$ to be small.

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