The SincEnvSinc Filter is a pulsed carrier function model, which can be used for a radar's received signal matched filtering. The filter's characteristic response curve is represented by a train of sinc spectrums. The peak magnitude of the sinc spectrum is determined by an envelope sinc function.
Descriptions of parameters for this filter follow.
| Parameter | Description |
|---|---|
| Filter Order | N defines the sharpness of the sinc functions in the train of sinc spectrums. If we observe the spectrum model for a pulsed carrier, N corresponds to the number of pulses of the original carrier train. Higher number of pulses make the individual spectrums narrow. |
| -3dB Cutoff Frequency | The filter's cutoff frequency determines the first null point of the envelope sinc function. |
| Ripple | Helps determine the first null point of the train of sinc spectrums. The null can be computed as  where N is defined by the Filter Order. |
SincEnvSinc Filter Example
This example illustrates the impact of individual parameters.
A radar transmitter filter is configured with the following parameters:
Cutoff frequency is 4 MHz
Filter order is 4
Ripple is 100,000 units
The resulting characteristic curve is shown below.
The filter response zoomed in from -1 Mhz to +1 MHz:
The first Null of the envelope sinc function is at 4.00 MHz. The first null of the spectrum sinc function is at
