In the next figure, Blackman-Harris weighting has been applied to the compressed pulse spectrum.
2.
In the closed form solution, just presented, the compressed waveform has the standard sinc function response, because a rectangular shape was assumed for the amplitude of the pulse spectrum.
3.
As the far-out sidelobes are a consequence of the Fresnel ripple on the compressed pulse spectrum, any technique that reduces this ripple will also reduce the level of the sidelobes.
4.
The precise manner in which the rise and fall times are made less severe is not very critical, so the technique of adding cosine tapers to the compressed pulse spectrum ( as with the Tukey weighting function ) gives a similar improvement-of several dBs.