Filter Using Simulink Raised Cosine Filter Blocks

This example uses:

The Raised Cosine Transmit Filter and Raised Cosine Receive Filter blocks are designed for raised cosine (RC) filtering. Each block can apply a square-root raised cosine (RRC) filter or a raised cosine filter to a signal. You can vary the roll-off factor and span of the filter.

The Raised Cosine Transmit Filter and Raised Cosine Receive Filter blocks are tailored for use at the transmitter and receiver, respectively. The transmit filter upsamples (interpolates) the output signal. The receive filter expects its input signal to be upsampled and downsamples (decimates) the output signal, based on the configured settings of the block.

The raised cosine transmit and receive filter blocks each introduce a propagation delay, as described in Group Delay.

The doc_rrcfiltercompare.slx model shows how to split the filtering equally between the transmitter and the receiver by using a pair of square root raised cosine filters. The use of a matched pair of square root raised cosine filters is equivalent to a single normal raised cosine filter. The filters share the same span and use the same number samples per symbol but the two filter blocks on the upper path have a square root shape and the single filter block on the lower path has the normal shape.

Run the model and observe the eye and constellation diagrams. The performance is nearly identical for the two methods. Note that the limited impulse response of practical square root raised cosine filters causes a slight difference between the response of two cascaded square root raised cosine filters and the response of one raised cosine filter.