Consider a linear time invariant channel with amplitude response 0.2 VL.64–1.6 cos(2r/) S(f) Suppose that the channel input has the form X( n )-2cos(2TT-0.05n) for all n from -* to +*. The channel output can be written as y( n )-A cos(2TT-0.05n•0) where -TSOST. What is the numerical value of A to two decimal places (e g. 3.14)? Hint: Determine first the

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Consider a linear time invariant channel with amplitude response
S(f)
0.2
1.64–1.6 cos(27f)
Suppose that the channel input has the form
X( n )-2cos(21T-0.05n)
for all n from - * to +*. The channel output can be written as
y(n )-A cos(2TT-0.05n-p)
where -TSOSTI.
What is the numerical value of A to two decimal places (e.g. 3.14)? Hint: Determine first the
amplitude response at the frequency of the input signal x( n). Also, please check the
settings in you calculator. If the setting is degrees, use 180 for T; if radians then use pi
button (or 3.1416).
Transcribed Image Text:Consider a linear time invariant channel with amplitude response S(f) 0.2 1.64–1.6 cos(27f) Suppose that the channel input has the form X( n )-2cos(21T-0.05n) for all n from - * to +*. The channel output can be written as y(n )-A cos(2TT-0.05n-p) where -TSOSTI. What is the numerical value of A to two decimal places (e.g. 3.14)? Hint: Determine first the amplitude response at the frequency of the input signal x( n). Also, please check the settings in you calculator. If the setting is degrees, use 180 for T; if radians then use pi button (or 3.1416).
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