Is there a reference design without having and FPGA at the AD9361 interface, in other words is it possible to have BB+AD9361 configuration where BB chipset is a DSP?
There is currently no such reference design provided by Analog Devices. The software in the FPGA reference design that configures the AD9361 is written in a hardware independent way, so it is possible to easily port it to a different platform. The software that configures the HDL core that interfaces to the data interface of the AD9361 is specific to the FPGA reference design and would need to be replaced with software that is specific to your BB chipset.
Moved to FPGA Reference Designs.
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