unitary transforms of the signals

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1. General unitary transforms2. Unitary transforms utilizing sinusoidal basis functions2.1. Cosine transform2.2. Sine transform2.3. Hartley transform3. Unitary transform using no sinusoidal functions3.1. Hadamard transform3.2. Haar transform

TRANSCRIPT

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

General unitary transformsGeneral unitary transforms

The separable transformations

Realization of separable 2D unitary transforms

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

Cosine transform

Cosine transform basis functions

Cosine transformCosine transform

Sine transform

Sine transform basis functions

Sine transformSine transform

Hartley transform

Hartley transformHartley transform

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

Hadamard matrix

Hadamard matrix

Hadamard matrix

Hadamard matrix

Hadamard transform basis functions

Hadamard transformHadamard transform

Haar matrix

Haar matrix

Haar transform basis functions

Haar transformHaar transform

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