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# 2. Signal from Upper Atmosphere: There is a signal coming from the sky with frequencies between3.00 and 3.01 MHz (1 MHz= 10° Hz). The two sided spectrum of the signal

is shown below. a) What sampling rate, FS1, does Rob have to use in order to sample the incoming signal withoutaliasing? b) For Paul's setup, make a sketch of the two sided spectrum of the signal after the low pass filter, justbefore it is sampled. c) What sampling rate, FS2, does Paul need to use in order to not have aliasing? d) If Rob samples at the rate of FS1 from part (a) and each sample requires 1 Byte, how large will a filebe with 1 minute of data? (Remember 1 KB = 1024 Bytes, 1 MB =1024 KB). e) If Paul samples at the rate of FS2 from part (c) and each sample requires 1 Byte, how large will a file be with 1 minute of data? (Remember 1 KB = 1024 Bytes, 1 MB=1024 KB). f) Use firl in MATLAB to create an FIR implementation the low pass filter in Paul's setup.' Make the filter length 100. You will need to calculate the normalized cutoff frequency. Assume a sampling frequency of 6 MHz. Plot the filter frequency response using freqz.

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