I'm trying to figure out what the Signal to Quantized Noise Ratio (SQNR) is if I multiply 2 16-bit signed integer values and store the result as a 16-bit signed integer, dropping the least significant bits. Since this is signed multiplication, I'm dropping 15 bits of precision.
a (16 bit signed) * b (16 bit signed) = c (16 bit signed) without the LSBs.
And to be more clear about what's after this, I am summing many successive values of the resulting 'c' - this sum is stored in an infinite length signed integer representation.
How do I calculate the SQNR in this situation?