A DSP contains analog to digital and digital to analog converters plus DMA for fast transfers to main memory and fixed function blocks for finite impulse response and infinite pulse response filters.

The fact that they also support vector operations or matrix multiplication is kind of irrelevant and not a defining characteristic of DSPs. If you want to go that far, then everything is a DSP, because all signals are analog.

See here https://intel.github.io/intel-npu-acceleration-library/npu.h...

Maybe also note that Qualcomm has renamed their Hexagon DSP to Hexagon NN. Likely the change was adding activation functions but otherwise its a VLIW architecture with accelerated MAC operations, aka a DSP architecture.

I've worked on DSP's with none of those things. Well, they did have DMA.