A sinusoidal signal of frequency
is impulse sampled at a rate of
The impulse-sampled signal is the excitation of an ideal lowpass filter with corner (cutoff) frequency of
For each set of parameters below what frequencies are present in the response of the filter? (List only the non-negative frequencies, including zero if present.)
In each case the frequencies present in the filter excitation are where k is any integer. Only those whose absolute values are below the lowpass filter’s cutoff frequency appear in the response.
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What will be an ideal response?