f(t) ere Consider the system shown below: --- |-|- |-|-|- pose ideal LPF continuous-time sampler discrete-time the ideal lowpass filter has gain 1 and cutoff frequency ±100 rad/second, ● the sampler converts the continuous-time signal g(t) into the discrete-time signal with a sampling interval of T = 10 seconds, and the second filter has a real-valued impulse response h[k] and the frequency response H(N) = 1−e¯1²252 y[k] f(t) = 3 cos (25πt+π/3) - 7 cos(400πt — π/6). d an expression for ulkl simplifying your answer as much as possible

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f(t)
where
Consider the system shown below:
Suppose
ideal LPF
continuous-time
g(t)
sampler
g[k]
h[k]
discrete-time
the ideal lowpass filter has gain 1 and cutoff frequency ±100 rad/second,
the sampler converts the continuous-time signal g(t) into the discrete-time signal g[k]
with a sampling interval of T = 10 seconds, and
• the second filter has a real-valued impulse response h[k] and the frequency response
H(N) = 1e-1252
y[k]
f(t) = 3 cos (25πt + π/3) - 7 cos(400πt - π/6).
Find an expression for y[k], simplifying your answer as much as possible.
Transcribed Image Text:f(t) where Consider the system shown below: Suppose ideal LPF continuous-time g(t) sampler g[k] h[k] discrete-time the ideal lowpass filter has gain 1 and cutoff frequency ±100 rad/second, the sampler converts the continuous-time signal g(t) into the discrete-time signal g[k] with a sampling interval of T = 10 seconds, and • the second filter has a real-valued impulse response h[k] and the frequency response H(N) = 1e-1252 y[k] f(t) = 3 cos (25πt + π/3) - 7 cos(400πt - π/6). Find an expression for y[k], simplifying your answer as much as possible.
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