CIC decimtor filter design and CIC compensation filter design

Design a CIC filter that decimation factor is 14, and design a CIC compensation filter

It is applied to Digital Intermediate Frequency(IF), decimate IF sample frequency and down convert to zero frequency, demodulation and extract real signal from carrier. CIC filter is widely applied to down conversion for its simple and easy to carry out, but it also cause amplitude droop and spectrum alias. So a compensation filter must be used to compensate the amplitude loss because of fixed-point realization.