⚙️ ENGINEER LEVEL: DSP Architecture and Signal Path
Fixed-Point vs Floating-Point Processing
Fixed-point DSPs (older, budget platforms):
Process audio as integers with fixed decimal position. Common word lengths: 16-bit, 24-bit, 32-bit.
Advantage: Fast, low power, predictable. Disadvantage: Limited headroom for internal calculations. With 24-bit input, a +24 dB gain stage followed by −24 dB would require 48-bit intermediate precision — most fixed-point systems clip internally at 24 or 32 bits.
Double-precision accumulation: Better fixed-point DSPs use 48-bit or 64-bit accumulators for intermediate calculations even with 24-bit I/O. This prevents internal overflow during EQ operations.
Floating-point DSPs (modern platforms, SHARC and similar):
Process audio as 32-bit or 64-bit floating-point. Dynamic range effectively unlimited within the representable range. Internal overflow essentially impossible with reasonable gain structures.
Advantage: No overflow concern, full precision throughout processing chain. Disadvantage: Slightly more complex hardware, higher power consumption.
Practical implication: Modern DSPs (miniDSP HD, Helix, Alpine) all use floating-point or equivalent precision internally. The user should not worry about internal precision for these platforms — set gains reasonably and the math works correctly.