Digital Signal Processors (DSPs) are primarily known for their ability to process digital signals efficiently. Among the provided options, the following apply to DSPs:
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FPGA - While FPGAs (Field-Programmable Gate Arrays) can be used to implement DSP functions and can be designed to perform as a DSP, they are not inherently DSPs themselves. However, DSPs can be implemented using FPGAs.
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Specialized microprocessor - This is correct since many DSPs are specialized microprocessors designed specifically for the purpose of processing digital signals.
The other options do not apply:
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NAND gate - This is a basic digital logic gate, not a type of processor.
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High power amplifier - This is an electronic device used to amplify signals, but it is not considered a DSP.
So the correct selections are FPGA and Specialized microprocessor.