Wavelets are mathematical functions that

you can use to transform signals, images, and videos before compressing them.

One of the simplest wavelet functions is the Hear transform. It recursively

uses averages and differences to process a signal using the following formulas:

signal Average =(a+b)/2, where a and b are

two adjacent signal values or pixels

details Part=b-a

For example, lets apply the Haar transform

to the one-dimensional array of original signal values shown in Figure 14-10a.

We first process the entire array, comparing each pair of entries and finding

the averages and

Wavelets are mathematical functions that

you can use to transform signals, images, and videos before compressing them.

One of the simplest wavelet functions is the Hear transform. It recursively

uses averages and differences to process a signal using the following formulas:

signal Average =(a+b)/2, where a and b are

two adjacent signal values or pixels

details Part=b-a

For example, lets apply the Haar transform

to the one-dimensional array of original signal values shown in Figure 14-10a.

We first process the entire array, comparing each pair of entries and finding

the averages and differences. Figure 14-10b shows the half-resolution signals

as a result of these calculations. Note that you can store the averages and

differences directly into the original array, or you can use a temporary array

which you then copy to the original array.

Figure 14-10

We recursively repeat the

process on pairs of the averages to get new averages and differences, resulting

in quarter-resolution signals and eighth-resolution signals as given in Figures

14-10c and 14-10d. In Figure 14-10d of this figure, notice that we have one

average. This is the base case of the =(a + b ) /2, =b_arecursion. At

this point, we rebuild the array as follows. The final average is the first

entry in the array. Then, beginning with the lowest resolution level

(one-eighth in this case), we append the difference values to the array. Our

transformed signal is shown in Figure 14-10e. We could compress this result by

setting the values below a certain threshold to zero.

Implement the Haar transform for a

one-dimensional signal, such an AIFF audio file.

The price is based on these factors:

Academic level

Number of pages

Urgency

Basic features

- Free title page and bibliography
- Unlimited revisions
- Plagiarism-free guarantee
- Money-back guarantee
- 24/7 support

On-demand options

- Writer’s samples
- Part-by-part delivery
- Overnight delivery
- Copies of used sources
- Expert Proofreading

Paper format

- 275 words per page
- 12 pt Arial/Times New Roman
- Double line spacing
- Any citation style (APA, MLA, Chicago/Turabian, Harvard)

Delivering a high-quality product at a reasonable price is not enough anymore.

That’s why we have developed 5 beneficial guarantees that will make your experience with our service enjoyable, easy, and safe.

You have to be 100% sure of the quality of your product to give a money-back guarantee. This describes us perfectly. Make sure that this guarantee is totally transparent.

Read moreEach paper is composed from scratch, according to your instructions. It is then checked by our plagiarism-detection software. There is no gap where plagiarism could squeeze in.

Read moreThanks to our free revisions, there is no way for you to be unsatisfied. We will work on your paper until you are completely happy with the result.

Read moreYour email is safe, as we store it according to international data protection rules. Your bank details are secure, as we use only reliable payment systems.

Read moreBy sending us your money, you buy the service we provide. Check out our terms and conditions if you prefer business talks to be laid out in official language.

Read more