Limit Cycle Oscillation - Zero-Input Oscillation - Dead Band : y(n)=x(n)+0.5y(n-1)

Limit Cycle Oscillation:
  • It is a low level oscillation due to the product quantization effects in a stable IIR digital filters (Recursive Filters)
Zero-Input Limit Cycle Oscillation:
  • When a stable IIR filter is excited by a constant and finite input signal, the output must decay to zero.
  • But it does not occur due to product quantization process which produces the non-linearity behavior in the system operation
  • This non-linearity due to the finite precision arithmetic causes periodic oscillation in the output.
  • Such oscillation is known as Zero-Input Limit Cycle Oscillation 
Dead Band:
  • The amplitudes of the limit cycle oscillation are confined into the range of values which is called as "Dead Band".













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