Exponents and Logs

The Exponent and Log components group includes typical log and exponential functions as well as a linear-to-dB and dB-to-linear processes.

This group includes the following components:

• dBToLin
• Exp2
• Exp
• Exp10
• ExpN
• LinTodB
• Log2
• LN
• Log10
• LogN

dBToLin

Description:

Converts dB input to linear.

Name	Description	Data Type
Input	Input	Floating Point
Output	Linear conversion of dB level	Floating Point

Equation:

F_o = 10^(F_i/20)

Exp

Exp2

Exp10

Description:

These processors compute exponent of indicated base.

Name	Description	Data Type
Input	Input	Floating Point
Output	Exponential increase of input value (base 2, Natural Log or base 10)	Floating Point

Equation:

F_o = e^F_i or F_o = 2^F_i or F_o = 10^F_i

ExpN

Description:

Computes natural exponent of the input with additional scalar values that alter the input and the computed Exponential value.

Name	Description	Data Type
Input	Input	Floating Point
Output	Exp (a*Input)*b	Floating Point
a	Exponential scale factor alters input.	Floating Point
b	Output scale factor	Floating Point

Equation:

F_o = e^(a*F_i)*b

LinTodB

Description:

Converts linear input to dB.

Name	Description	Data Type
Input	Input	Floating Point
Output	Linear conversion of dB level. Output = 20*Log10 (Input)	Floating Point

Equation:

F_o = 20 * log₁₀(F_i)

Example:

PowerBand.

LN

Log2

Log10

Description:

These processors compute logarithm of indicated base.

Name	Description	Data Type
Input	Input	Floating Point
Output	Logarithm of input (Log 2, Natural Log or log 10)	Floating Point

Equation:

F_o = ln(F_i) or F_o = log₂(F_i) or F_o = log₁₀(F_i)

LogN

Description:

Computes natural log with scalars for changing base, and so forth.

Name	Description	Data Type
Input	Input	Floating Point
Output	Ln(a*Input)*b	Floating Point
a	Exponential scale factor alters input.	Floating Point
b	Output scale factor	Floating Point

Equation:

F_o = ln(a*F_i)*b