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From my POV, what you do in the FPGA is mostly irrelevent, as most people can handle designing some sort of pipeline. My main interest would be:
1. Have you any experience setting up and using DDR interfaces?
2. Have you any experience setting up and using High Speed Serieal Interfaces (PCIe, Ethernet, SRIO etc).
3. Proof of architecting and designing a system, with teamworking an essential part of this.
4. Do you have good experience with a simulator? are you capable of building a self checking test bench that meets a test goal? (Plusses for this will be things like VHDL 2008, OSVVM, Vunit, CocoTB (from a VHDL POV) or SystemVerilog, UVM. But dont mention them if you dont understand them).
I dont think DSP is as important or useful anymore. Tools are pretty efficient, CPUs are faster and resources are often more plentiful than the used to be. FPGAs are more often now about moving packets through a system at 10Gb/s+ bitrates - so for this you need 1/2 above.
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Company work focus differs from industry to another. Tricky apologies but your comments are quite biased.
Automated design (wizard, ips , dspbuilder, matlab, opencores, or other forms) are there for dsp as well as network interfacing. A company may not buy them or these ips may have limitations and in all cases the designer work load is there to do the architecture, interfacing and testing of large number of unknown modules. Tricky what do you mean FPGA is just for pipelining? and Why one should know about DDR specifically (ips are available to talk to sdram). ips are there for PCIe,Ethernet… and you just instantiate them. I can simulate all my designs in modelsim and recently I had those guys who were doing UVM ...etc were in the dark...I never understood what they could do to my design testing.