: The frequency response of an ideal low-pass filter is: ||H(ejw)| = {1 − ˜/4 ≤ w≤π/4 . otherwise and_ZH(ejw) = -π/2, w≥0 π/2, ω < 0 a) Calculate the impulse response h(n) of the filter. b) If the above filter is connected in series with a defective sinusoidal signal generator that gives sinusoids of x(n) = 1.5 cos (2nπ/3), for what frequency (or frequencies) is the filter output y(n)?

Computer Networking: A Top-Down Approach (7th Edition)
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Author:James Kurose, Keith Ross
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: The frequency response of an ideal low-pass filter is:
||H(ejw)| = {1
− ˜/4 ≤ w≤π/4
.
otherwise
and_ZH(ejw) =
-π/2,
w≥0
π/2,
ω < 0
a) Calculate the impulse response h(n) of the filter.
b) If the above filter is connected in series with a defective sinusoidal signal generator that gives sinusoids of
x(n) = 1.5 cos (2nπ/3), for what frequency (or frequencies) is the filter output y(n)?
Transcribed Image Text:: The frequency response of an ideal low-pass filter is: ||H(ejw)| = {1 − ˜/4 ≤ w≤π/4 . otherwise and_ZH(ejw) = -π/2, w≥0 π/2, ω < 0 a) Calculate the impulse response h(n) of the filter. b) If the above filter is connected in series with a defective sinusoidal signal generator that gives sinusoids of x(n) = 1.5 cos (2nπ/3), for what frequency (or frequencies) is the filter output y(n)?
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