Is it possible to Build a software defined radio from scratch?

It came up while discussing interesting project ideas . @jtd @Ashish_Pardeshi would like to know your thoughts on the feasibility of doing this ? Making a SDR , an antenna to receive signals and then deciding the data could be an interesting project.

Requires multilayer board and BGA soldering. Both very expensive for small runs. Ready modules would be better.GNU SDR is the bechmark for software. Implementing signal processing algorithms greatly enhaces ones ability to understand how the maths transforms to software and thence to radio signals.

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