FIR Filter Coefficient Calculator

Formula

To calculate the FIR Filter Coefficient:

\[ C = D \times W \]

Where:

\(C\) is the FIR Filter Coefficient
\(D\) is the Desired Frequency Response
\(W\) is the Window Function

What is an FIR Filter Coefficient?

An FIR (Finite Impulse Response) filter coefficient is a value used in digital signal processing to define the characteristics of an FIR filter. FIR filters are widely used in various applications such as audio processing, telecommunications, and control systems. The coefficients determine the filter’s frequency response and are calculated based on the desired filter specifications and the chosen window function. The window function helps to control the trade-off between the main lobe width and the side lobe levels in the frequency response of the filter.

Example Calculation 1

Let's assume the following values:

Desired Frequency Response (\(D\)) = 0.5
Window Function (\(W\)) = 0.8

Using the formula:

\[ C = 0.5 \times 0.8 = 0.40 \]

The FIR Filter Coefficient is 0.40.

Example Calculation 2

Let's assume the following values:

Desired Frequency Response (\(D\)) = 1.2
Window Function (\(W\)) = 0.6

Using the formula:

\[ C = 1.2 \times 0.6 = 0.72 \]

The FIR Filter Coefficient is 0.72.