UNITARY TRANSFORMS OF THE SIGNALS
-
Upload
cristian-chitanu -
Category
Documents
-
view
40 -
download
0
description
Transcript of UNITARY TRANSFORMS OF THE SIGNALS
![Page 1: UNITARY TRANSFORMS OF THE SIGNALS](https://reader036.fdocuments.net/reader036/viewer/2022081723/5695d2fe1a28ab9b029c73fe/html5/thumbnails/1.jpg)
UNITARY TRANSFORMS UNITARY TRANSFORMS OF THE SIGNALSOF THE SIGNALS
1. General unitary transforms1. General unitary transforms2. Unitary transforms utilizing 2. Unitary transforms utilizing
sinusoidal basis functionssinusoidal basis functions2.1. Cosine transform2.1. Cosine transform2.2. Sine transform2.2. Sine transform2.3. Hartley transform2.3. Hartley transform3. Unitary transform using 3. Unitary transform using no sinusoidal functionsno sinusoidal functions3.1. Hadamard transform3.1. Hadamard transform3.2. Haar transform3.2. Haar transform
![Page 2: UNITARY TRANSFORMS OF THE SIGNALS](https://reader036.fdocuments.net/reader036/viewer/2022081723/5695d2fe1a28ab9b029c73fe/html5/thumbnails/2.jpg)
General unitary transformsGeneral unitary transforms
![Page 3: UNITARY TRANSFORMS OF THE SIGNALS](https://reader036.fdocuments.net/reader036/viewer/2022081723/5695d2fe1a28ab9b029c73fe/html5/thumbnails/3.jpg)
The separable transformations
![Page 4: UNITARY TRANSFORMS OF THE SIGNALS](https://reader036.fdocuments.net/reader036/viewer/2022081723/5695d2fe1a28ab9b029c73fe/html5/thumbnails/4.jpg)
Realization of separable 2D unitary transforms
![Page 5: UNITARY TRANSFORMS OF THE SIGNALS](https://reader036.fdocuments.net/reader036/viewer/2022081723/5695d2fe1a28ab9b029c73fe/html5/thumbnails/5.jpg)
2. Unitary transforms utilizing 2. Unitary transforms utilizing sinusoidal basis functionssinusoidal basis functions
2.1. Cosine transform2.1. Cosine transform
2.2. Sine transform2.2. Sine transform
2.3. Hartley transform2.3. Hartley transform
![Page 6: UNITARY TRANSFORMS OF THE SIGNALS](https://reader036.fdocuments.net/reader036/viewer/2022081723/5695d2fe1a28ab9b029c73fe/html5/thumbnails/6.jpg)
Cosine transform
![Page 7: UNITARY TRANSFORMS OF THE SIGNALS](https://reader036.fdocuments.net/reader036/viewer/2022081723/5695d2fe1a28ab9b029c73fe/html5/thumbnails/7.jpg)
Cosine transform basis functions
![Page 8: UNITARY TRANSFORMS OF THE SIGNALS](https://reader036.fdocuments.net/reader036/viewer/2022081723/5695d2fe1a28ab9b029c73fe/html5/thumbnails/8.jpg)
![Page 9: UNITARY TRANSFORMS OF THE SIGNALS](https://reader036.fdocuments.net/reader036/viewer/2022081723/5695d2fe1a28ab9b029c73fe/html5/thumbnails/9.jpg)
Cosine transformCosine transform
![Page 10: UNITARY TRANSFORMS OF THE SIGNALS](https://reader036.fdocuments.net/reader036/viewer/2022081723/5695d2fe1a28ab9b029c73fe/html5/thumbnails/10.jpg)
Sine transform
![Page 11: UNITARY TRANSFORMS OF THE SIGNALS](https://reader036.fdocuments.net/reader036/viewer/2022081723/5695d2fe1a28ab9b029c73fe/html5/thumbnails/11.jpg)
Sine transform basis functions
![Page 12: UNITARY TRANSFORMS OF THE SIGNALS](https://reader036.fdocuments.net/reader036/viewer/2022081723/5695d2fe1a28ab9b029c73fe/html5/thumbnails/12.jpg)
Sine transformSine transform
![Page 13: UNITARY TRANSFORMS OF THE SIGNALS](https://reader036.fdocuments.net/reader036/viewer/2022081723/5695d2fe1a28ab9b029c73fe/html5/thumbnails/13.jpg)
Hartley transform
![Page 14: UNITARY TRANSFORMS OF THE SIGNALS](https://reader036.fdocuments.net/reader036/viewer/2022081723/5695d2fe1a28ab9b029c73fe/html5/thumbnails/14.jpg)
Hartley transformHartley transform
![Page 15: UNITARY TRANSFORMS OF THE SIGNALS](https://reader036.fdocuments.net/reader036/viewer/2022081723/5695d2fe1a28ab9b029c73fe/html5/thumbnails/15.jpg)
3. Unitary transform using 3. Unitary transform using no sinusoidal functions no sinusoidal functions
3.1. Hadamard transform3.1. Hadamard transform
3.2. Haar transform3.2. Haar transform
![Page 16: UNITARY TRANSFORMS OF THE SIGNALS](https://reader036.fdocuments.net/reader036/viewer/2022081723/5695d2fe1a28ab9b029c73fe/html5/thumbnails/16.jpg)
Hadamard matrix
![Page 17: UNITARY TRANSFORMS OF THE SIGNALS](https://reader036.fdocuments.net/reader036/viewer/2022081723/5695d2fe1a28ab9b029c73fe/html5/thumbnails/17.jpg)
Hadamard matrix
![Page 18: UNITARY TRANSFORMS OF THE SIGNALS](https://reader036.fdocuments.net/reader036/viewer/2022081723/5695d2fe1a28ab9b029c73fe/html5/thumbnails/18.jpg)
Hadamard matrix
![Page 19: UNITARY TRANSFORMS OF THE SIGNALS](https://reader036.fdocuments.net/reader036/viewer/2022081723/5695d2fe1a28ab9b029c73fe/html5/thumbnails/19.jpg)
Hadamard matrix
![Page 20: UNITARY TRANSFORMS OF THE SIGNALS](https://reader036.fdocuments.net/reader036/viewer/2022081723/5695d2fe1a28ab9b029c73fe/html5/thumbnails/20.jpg)
Hadamard transform basis functions
![Page 21: UNITARY TRANSFORMS OF THE SIGNALS](https://reader036.fdocuments.net/reader036/viewer/2022081723/5695d2fe1a28ab9b029c73fe/html5/thumbnails/21.jpg)
Hadamard transformHadamard transform
![Page 22: UNITARY TRANSFORMS OF THE SIGNALS](https://reader036.fdocuments.net/reader036/viewer/2022081723/5695d2fe1a28ab9b029c73fe/html5/thumbnails/22.jpg)
Haar matrix
![Page 23: UNITARY TRANSFORMS OF THE SIGNALS](https://reader036.fdocuments.net/reader036/viewer/2022081723/5695d2fe1a28ab9b029c73fe/html5/thumbnails/23.jpg)
Haar matrix
![Page 24: UNITARY TRANSFORMS OF THE SIGNALS](https://reader036.fdocuments.net/reader036/viewer/2022081723/5695d2fe1a28ab9b029c73fe/html5/thumbnails/24.jpg)
Haar transform basis functions
![Page 25: UNITARY TRANSFORMS OF THE SIGNALS](https://reader036.fdocuments.net/reader036/viewer/2022081723/5695d2fe1a28ab9b029c73fe/html5/thumbnails/25.jpg)
Haar transformHaar transform