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System Simulator >
System Component Models >
Digital Filters >
Gaussian Low Pass Filter (GLPF)

Gaussian Low Pass Filter (GLPF)

Property	Description	Units	Default	Range/Type
FB	Effective Bandwidth Frequency	Hz	50000	(0, Inf)/Real
FILT_LENGTH	Number of filter coefficients	None	16	[8, Inf)/Integer
TRAN	0 = Discard transient samples, 1 = Retain samples	None	0	[0, 1]/Integer
RIN	Input impedance	Ohm	Inf	(0, Inf]/Real
ROUT	Output impedance	Ohm	0	[0, Inf)/Real
Ports
Input	Input signal (real)
Output	Filtered output signal (real)

Notes

1. This is a lowpass filter model which has the following transfer function
H(f) = sqrt (2) exp [-ln (2) * (f^2/FB) ] for - Inf < f < Inf
where FB is the effective 3dB bandwidth of the filter.

2. The impulse response of the filter is obtained by implementing the above function in the FFT domain (taking the input sampling frequency (FS) into consideration) and then using an inverse FFT of length FFTL which must be a power of 2. This FFTL is given by:

FFTL = Minimum power of 2 larger than 2 x FILT_LENGTH.

3. Note that the above frequency response must be truncated in the frequency domain since it has an infinite duration. This means that there will always be aliasing regardless of the FFT length chosen. Upon finding the impulse response, the filter is made causal by delaying the impulse response.

For a more accurate impulse response, the user must make sure
FILT_LENGTH ³ 5.0(FS/FB)

4. The program will not issue a warning message if this condition is not met.

Form

GLPF:Name n1 n2 FB=val FILT_LENGTH=val [Rin=val] [Rout=val] [TRAN=val]

Example

GLPF:1 1 2 FB=100KHZ FILT_LENGTH=32

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