Next, you'd like to start receiving communications from mission control on earth. looking at the manual in the spacecraft glovebox, you see that mission control will be using the following method to communicate with you. they will transmit one letter of their message at a time. each letter will be encoded in binary using 8 bits, following the ascii numbering system. for example, "a" is encoded as "0111", "b" is encoded as "01100010", and so forth until z", which is encoded as "001". this table is in the manual in the glovebox (you can do an internet search for 'ascii to binary' to get this encoding)
let the transmitted binary symbol be denoted as aaragasaja3a2a1, where each a, is either a 0 or 1. the manual indicates that the signal from mission control will be given by:
f(t) = a8 cos(320πt) + a7 cos(280πt) + a6 cos(240πt) + a5 cos(200πt) + a4 cos(160πt) + a3 cos(120πt) + a2 cos(80πt) + a1 cos(40πt).
unfortunately, the received signal will also be corrupted by high frequency noise (at frequencies above 350π rad/s). your task is to design an appropriate filter (or set of filters) to recover each of the transmitted bits a8, a7, a6, a5, a4, a3, a2, a1, and thus the transmitted letter.
(a) explain how you would do this, and provide the transfer functions of the corresponding filters. draw a block diagram showing how you would take the received signal and apply the appropriate filters to recover those bits.
(b) explain how you would construct a series rlc circuit to the values of r, l and c for each of the filters you create.