We wish to design a digital implementation of the transmitter and receiver filters GT (ƒ) and GR… 1 answer below »

We wish to design a digital implementation of the transmitter and receiver filters GT (ƒ) and GR (ƒ) such that their product is equal to the spectrum of a duobinary pulse and GR (ƒ) is the matched filter to GT (ƒ).

Sol:

To satisfy the frequency domain specification, we have

Sol:

Let us write a MATLAB program that takes a data sequence {Dk}, precodes it for a duobinary pulse transmission system to produce {pk}, and maps the precoded sequence into the transmitted amplitude levels {ad. Then from the transmitted sequence {ak}, the program will form the received noise-free sequence {bd and, using the relation in (6.5.34), recover the data sequence {Dk}