FormulaDen.com

Physics Chemistry Math Chemical Engineering Civil Electrical Electronics Electronics and Instrumentation Materials Science Mechanical Production Engineering Financial Health

Wavelet Coefficient Formula

Fx Copy

LaTeX Copy

Detail Wavelet Coefficient refers to the component of the signal or image that represents the high-frequency details captured by the wavelet transform. Check FAQs

d j [k] = \int (f s [x] \cdot ψ j,k [x] \cdot x, x, 0, k)

d_j[k] - Detail Wavelet Coefficient?f_s[x] - Scaling Function Expansion?ψ _j,k[x] - Wavelet Expansion Function?k - Integer Index for Linear Expansion?

Wavelet Coefficient Example

With values

With units

Only example

Here is how the Wavelet Coefficient equation looks like with Values.

Here is how the Wavelet Coefficient equation looks like with Units.

Here is how the Wavelet Coefficient equation looks like.

160 = \int (2.5 \cdot 8 \cdot x, x, 0, 4)

160 = \int (2.5 \cdot 8 \cdot x, x, 0, 4)

160 = \int (2.5 \cdot 8 \cdot x, x, 0, 4)

Tip: Use pencil ( Pencil

) icon above to edit Input Values and Units.

Calculate

Recalculate

Solution

Copy

Reset

You are here -

Home » Category

Engineering » Category

Electronics » Category

Digital Image Processing » fx Wavelet Coefficient

Wavelet Coefficient Solution

Follow our step by step solution on how to calculate Wavelet Coefficient?

FIRST Step Consider the formula

d j [k] = \int (f s [x] \cdot ψ j,k [x] \cdot x, x, 0, k)

Next Step Substitute values of Variables

∴

d j [k] = \int (2.5 \cdot 8 \cdot x, x, 0, 4)

Next Step Prepare to Evaluate

∴

d j [k] = \int (2.5 \cdot 8 \cdot x, x, 0, 4)

LAST Step Evaluate

∴

d j [k] = 160

Wavelet Coefficient Formula Elements

Variables

Functions

Detail Wavelet Coefficient

Detail Wavelet Coefficient refers to the component of the signal or image that represents the high-frequency details captured by the wavelet transform.

Symbol: d_j[k]

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Detail Wavelet Coefficient

Scaling Function Expansion

Scaling Function Expansion refers to the representation of a signal or an image using a series of scaled and translated versions of a base or fundamental function.

Symbol: f_s[x]

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Scaling Function Expansion

Wavelet Expansion Function

Wavelet Expansion Function refers to the representation of a signal or an image as a linear combination of wavelet functions at different scales and positions.

Symbol: ψ _j,k[x]

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Wavelet Expansion Function

Integer Index for Linear Expansion

Integer Index for Linear Expansion is an integer index of a finite or infinite sum.

Symbol: k

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Integer Index for Linear Expansion

int

The definite integral can be used to calculate net signed area, which is the area above the x -axis minus the area below the x -axis.

Syntax: int(expr, arg, from, to)

Other formulas in Basics of Image Processing category

Go Bilinear Interpolation

V x,y = A \cdot X + B \cdot Y + C \cdot X \cdot Y + D

Go Digital Image Row

M = \sqrt{\frac{n b}{N}}

Go Digital Image Column

N = \frac{n b}{M^{2}}

Go Number of Grey Level

L = 2^{N}

How to Evaluate Wavelet Coefficient?

Wavelet Coefficient evaluator uses Detail Wavelet Coefficient = int(Scaling Function Expansion*Wavelet Expansion Function*x,x,0,Integer Index for Linear Expansion) to evaluate the Detail Wavelet Coefficient, The Wavelet Coefficient formula is used to calculate the numerical values obtained from the wavelet transform of a signal or an image and it represents the strength or magnitude of the high-frequency components present in the image at different scales and orientations. Detail Wavelet Coefficient is denoted by d_j[k] symbol.

How to evaluate Wavelet Coefficient using this online evaluator? To use this online evaluator for Wavelet Coefficient, enter Scaling Function Expansion (f_s[x]), Wavelet Expansion Function (ψ _j,k[x]) & Integer Index for Linear Expansion (k) and hit the calculate button.

FAQs on Wavelet Coefficient

What is the formula to find Wavelet Coefficient?

The formula of Wavelet Coefficient is expressed as Detail Wavelet Coefficient = int(Scaling Function Expansion*Wavelet Expansion Function*x,x,0,Integer Index for Linear Expansion). Here is an example- 160 = int(2.5*8*x,x,0,4).

How to calculate Wavelet Coefficient?

With Scaling Function Expansion (f_s[x]), Wavelet Expansion Function (ψ _j,k[x]) & Integer Index for Linear Expansion (k) we can find Wavelet Coefficient using the formula - Detail Wavelet Coefficient = int(Scaling Function Expansion*Wavelet Expansion Function*x,x,0,Integer Index for Linear Expansion). This formula also uses Definite Integral (int) function(s).

Let Others Know

✖

Facebook

Twitter

Copied!

: Value
: Unit

Wavelet Coefficient Formula

Wavelet Coefficient Example

Wavelet Coefficient Solution

Wavelet Coefficient Formula Elements

Other formulas in Basics of Image Processing category

How to Evaluate Wavelet Coefficient?

FAQs on Wavelet Coefficient

Variable Name