Shifting of Shift-Invariant Wavelet Transforms

1. What is meant by shift invariant?
2. How do you know if a system is shift invariant?
3. What is shift invariant in image processing?
4. What is the disadvantage of wavelet transform?

What is meant by shift invariant?

A shift-invariant system is one where a shift in the independent variable of the input signal causes a corresponding shift in the output signal. So if the response of a system to an input is , then the response to an input is .

How do you know if a system is shift invariant?

If g(x + x0) = H[f(x + x0)] then the system is shift invariant, otherwise it is not.

What is shift invariant in image processing?

Shift Invariance simply refers to the 'invariance' that a CNN has to recognising images. It allows the CNN to detect features/objects even if it does not look exactly like the images in it's training period. Shift invariance covers 'small' differences, such as movements shifts of a couple of pixels.

What is the disadvantage of wavelet transform?

Although the discrete wavelet transform (DWT) is a powerful tool for signal and image processing, it has three serious disadvantages: shift sensitivity, poor directionality, and lack of phase information.