Coefficient Quantization & Its Effects - Problems Solved

Coefficient Quantization:

• Quantization of coefficients in digital filters produces an error
• Theoretically, the filter coefficients are computed to infinite precision.
• But in digital system, the filter coefficients are represented in binary number system and stored in the finite size registers
• Hence the filter coefficients must  be quantized to finite size using truncation / rounding method

Effects of Coefficient Quantization:

• Due to the coefficient quantization, the response of the filter deviates from desired response of the system
• It modifies the pole - zero locations of the transfer function after quantization
• Quantized coefficients may lie outside the unit circle of the z-plane which leads to unstable condition.