
284 CHAPTER 17. PROJECT 8: BPSK DIGITAL RECEIVERS
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|H(jω)| (dB)
frequency, (π normalized units)
second difference
theoretical (scaled)
Figure 17.6: The frequency response of a second order FIR difference filter compared with
a scaled version of the theoretical response.
in Figure 17.2). Therefore, we need to somehow implement the derivative operation. The
derivative can be obtained using a number of different techniques, but we will approximate
it with a simple difference operation using a second order FIR filter, y[n]=x[n] −x[n −2],
which has a group delay of one sample. As shown in Figure 17.6, this implementation is
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