SYSC 4405 Study Guide - Quiz Guide: Band-Pass Filter, Demodulation, Liquid Oxygen

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We wish to implement a band-pass filter to demodulate an am radio station with frequency content in the range 726 734khz (content in this range should be accepted 1%). We need to reject frequencies below 720khz and above 740khz by at least 40db. We use a dsp system with a sampling frequency of 2mhz. Our dsp takes 1 clk cycle for addition and 5 clk cycles for multiplication (assume other operations are zero cost). This dsp is available in versions with clk speeds of: 1mhz, 2mhz, Faster dsps are more expensive and use up batteries faster: sketch the filter specifications. S given by 40db spec s = 10-40/20 = . 01. P 1% so p 0. 01: calculate c, 0 for the bpf. Lower cutoff = ( s,lnorm + p,lnorm)/2 = . 3615(2 ) rad/sample. Upper cutoff = ( p,hnorm + s,hnorm)/2 = . 3685(2 ) rad/sample. O = ( c,l + c,h)/2 = . 365(2 ) rad/sample.

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