Overflow Limit Cycle Oscillations with an example

Overflow Limit Cycle Oscillation:

• When the sum of fixed point numbers exceeds the size of the register in the digital system, the overflow error occurs in the system output.
• This overflow error causes the filter to oscillate between the maximum and minimum amplitudes
• Such limit cycles are known as "Overflow Limit cycles" due to addition process.

Methods used to prevent the overflow oscillations:

• Saturation Arithmetic
• Signal Scaling