Inverse

Noise amplification with inverse filtering

Noise amplification with inverse filtering
  1. Why inverse filtering approach fails in the presence of noise?
  2. What is meant by inverse filtering?
  3. What are the two drawbacks of the inverse filtering?
  4. What assumptions does inverse filtering make?

Why inverse filtering approach fails in the presence of noise?

Because an inverse filter is a high pass filter, it does not perform well in the presence of noise. There is a definite tradeoff between de-blurring and de-noising. In the following image, the blurred image is corrupted by AWGN with variance 10.

What is meant by inverse filtering?

1. Inverse Filter: Inverse Filtering is the process of receiving the input of a system from its output. It is the simplest approach to restore the original image once the degradation function is known.

What are the two drawbacks of the inverse filtering?

Disadvantages: Noise is amplified at nulls of. Inverse filter may not exist. Inverse filter may be difficult to build.

What assumptions does inverse filtering make?

Assumptions of inverse filtering:

The system is stationary during an analysis interval. The glottal pulse spectrum is flat. The all-pole model of vocal tract characteristics is correct. The estimates of the bandwidths of spectral poles are correct.

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