c17 - 18.03 Class 17, March 17, 2006 Application of second...

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18.03 Class 17, March 17, 2006 Application of second order frequency response to AM radio reception with guest appearance by EECS Professor Jeff Lang. [1] The AM radio frequency spectrum is divided into narrow segments which individual stations are required to broadcast in. The challenge of a receiver is to filter out the signals at frequences other than the target frequency. This can be done using a very simple RLC system which has a sharp peak in the gain curve at a given frequency (which can be tuned by changing the strength of one of the components of the system). Electronic circuits have mechanical analogues. Mechanical engineers often think of their systems in electronic terms, and vice versa. The mechanical system analogous to the radio receiver is this: | b m k |/ | |----------- ______ |/ |---| |=======------|______|----/\/\/\------|/ | |----------- | |/ | | |/ |-------> |--------> y(t) x(t) We are driving the system by motion of the far end of the dashpot, while keeping the far end of the spring constant. [2] Let's see the equation of motion for this system. Arrange the
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c17 - 18.03 Class 17, March 17, 2006 Application of second...

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