# fir_gaussps

Version:

Creates an FIR Gaussian pulse-shaping filter.

## Syntax

x = fir_gaussps(bst)
x = fir_gaussps(bst, n)
x = fir_gaussps(bst, n, of)
Legacy name: gaussfir

## bst

3-dB bandwidth-symbol time product.

## n

Number of symbol periods between the start and the peak.

Default: 3

## of

Oversampling factor or the number of samples per symbol.

Default: 2

## x

Coefficients of the Gaussian pulse-shaping filter. The length of x equals 2*n*of + 1.

## Signal Representations

The following equation represents the analog impulse response of the Gaussian pulse-shaping filter: h(t) = sqrt(pi)*exp(-(pi*t / B)^2) / B, where B is the 3-dB bandwidth of the baseband Gaussian pulse-shaping filter, which MathScript uses the following equation to compute: B = sqrt(log(2) / 2) / bst. After MathScript transforms the Gaussian pulse-shaping filter into a discrete signal, the following equation represents the signal: h(k) = sqrt(pi)*exp(-(pi*k / B)^2) / B, where k ranges from -n*of to n*of. You can use the Gaussian pulse-shaping filter to counter the effects of intersymbol interference (ISI).

x = fir_gaussps(0.13, 3, 5);

Where This Node Can Run:

Desktop OS: Windows

FPGA: This product does not support FPGA devices