The arithmetic decoding process is the reverse of the encoding procedure. Decode the message 0.23355 given the coding model.
| Symbol | Probability |
| a | 0.2 |
| e | 0.3 |
| i | 0.1 |
| o | 0.2 |
| u | 0.1 |
| ! | 0.1 |
To decode the arithmetic-coded message 0.23355, we need to follow these steps: ### Step 1: Compute the Cumulative Probability Ranges Each symbol’s range is based on its cumulative probability. | Symbol | Probability | Cumulative Range | |---------|------------|------------------| | a | 0.2 | [0.0, 0.2) | | e | 0.3 | [0.2, 0.5) | | i | 0.1 | [0.5, 0.6) | | o | 0.2 | [0.6, 0.8) | | u | 0.1 | [0.8, 0.9) | | ! | 0.1 | [0.9, 1.0) | ### Step 2: Find the First Symbol The given encoded value is 0.23355. We _____ _________ ____ ______ ______ _________ ________.
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What do you understand by the term "Entropy" in context of any digital image? Calculate the entropy for the symbols, where probability distribution is given below:
| Symbol | Probability |
| 1 | 0.4 |
| 2 | 0.3 |
| 3 | 0.1 |
| 4 | 0.1 |
| 5 | 0.1 |
Suppose that an image f(x, y) is convolved with a mask of size n x n (with cofficients 1/n²) to produce a smoothed image .
i) Derive an expression for edge strength (edge magnitude) of the smoothed image as a function of mask size. Assume for simplicity that n is odd and that edges are obtained using the partial derivatives
ii) Show that the ratio of the maximum edge strength of the smoothed image to the maximum edge strength of the orginal is 1/n. In other words, edge strength is inversely proportional to the size of the smoothing mask.
Two images, f (x,y) and g (x,y), have histograms he and hg. Give the condition under which you can determine the histograms of
i) f(x,y)+g(x, y)
ii) f(x,y)-g(x,y)
iii) f(x, y)xg(x, y)
iv) f(x,y)+g(x,y)
Consider an 8-pixel line of intensity data, (108,139,135,244,172,173,56,99). If it is uniformly quantized with 4-bit accuracy, compute the rms error and rms signal-to- noise ratios for the quantized data.
A binary image contains straight lines oriented horizontally, vertically, at 45°, and at - 45°. Give a set of 3 x 3 masks that can be used to detect 1-pixel breaks in these lines. Assume that the intensities of the lines and background are 1 and 0, respectively.
The arithmetic decoding process is the reverse of the encoding procedure. Decode the message 0.23355 given the coding model.
| Symbol | Probability |
| a | 0.2 |
| e | 0.3 |
| i | 0.1 |
| o | 0.2 |
| u | 0.1 |
| ! | 0.1 |
Consider a 3x3 spatial mask that averages the four closet neighbours of a point
(x, y), but excludes the point itself from the average.
i) Find the equivalent filter, H (u, v), in the frequency domain.
ii) Show that your result is a lowpass filter.