Ata, this circuit topology is from Dr Andrie Grebennikove famous "Switch Mode RF and power amplifiers" book. I have bought my own copy. But, if you visit his researchgate profile page, he has shared PDF version of many of his books. Download them from there. Meanwhile, I have snipped the explanation given in the book (page 286, 2nd edition):
The idea is to fisrt make a low pass prototype and replace lumped components with transmission lines (and of course you need to otpimize a bit). How do you design a lumped element network? Well, it is based on Tables given in the following paper:
G. L. Matthaei "Tables of Chebyshev impedance-transformation networks of low-pass filter form" Proc. IEEE, vol. 52 no. 8 pp. 939-963, 1964.
You can also refer to Dr Andrie's "RF and Microwave Transmitter design" book, where he talks about designing wideband matching.
When the load and source impedance are real as in the above case, designing such network is not that diffcult. But, when either of the impedances become complex and frequency dependednt, it becomes tough to design wideband matching network.
For example, see a transmission-line technique discussed in:
K. Chen and D. Peroulis, "Design of Highly Efficient Broadband Class-E Power Amplifier Using Synthesized Low-Pass Matching Networks," in IEEE Transactions on Microwave Theory and Techniques, vol. 59, no. 12, pp. 3162-3173, Dec. 2011 :
https://docs.lib.purdue.edu/cgi/viewcontent.cgi?article=1927&context=nanopub
Also, keep in mind what FvM said
"Both "wide band" matching circuits are approximations, you need to know the frequency range and acceptable impedance ripple to decide about required number of elements." There is no perfect match in wideband network. This brings me to mention Real-Frequency techniques that gives you lumped element based network. Then, perhaps you can transform them using techniques discussed in Dr Andrie's book.
I am not in Industry, I think those guys could tell you more practical ways of doing that. I guess, they would be using routine found in comercial softwares such as ADS/Genesys to automate the design of matching networks.
Regards
Maktoomi.