P-4.1 Let x (t) = 11 cos(7лt - π/3). In each of the following parts, the discrete-time signal x[n] is obtained by sampling x (t) at a rate f, samples/s, and the resultant x[n] can be written as x[n] = A cos(@₁n + p) For each part below, determine the values of A, p, and ₁ such that 0 ≤ ≤n. In addition, state whether or not the signal has been over-sampled or under-sampled. (a) Sampling frequency is f = 9 samples/s. (b) Sampling frequency is fs = 6 samples/s. (c) Sampling frequency is fs = 3 samples/s.

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Please assist with p-4.1 a,b,c with details on how to do it. Thank you.  

4-7 Problems
AMM
NOTE
ems with Solutions
The problems in this section address the major concepts of sampling and aliasing in this
chapter. On the Companion Website there are many related homework problems which
can be used to review and practice. Most of them have detailed solutions.
P-4.1 Let x (t) = 11 cos(7лt - π/3). In each of the following parts, the discrete-time
signal x[n] is obtained by sampling x (t) at a rate f, samples/s, and the resultant x[n] can
be written as
x[n] = A cos(@₁n + y)
For each part below, determine the values of A, y, and ₁ such that 0 ≤ ≤. In
addition, state whether or not the signal has been over-sampled or under-sampled.
(a) Sampling frequency is fs = 9 samples/s.
(b) Sampling frequency is fs = 6 samples/s.
(c) Sampling frequency is f, = 3 samples/s.
Transcribed Image Text:4-7 Problems AMM NOTE ems with Solutions The problems in this section address the major concepts of sampling and aliasing in this chapter. On the Companion Website there are many related homework problems which can be used to review and practice. Most of them have detailed solutions. P-4.1 Let x (t) = 11 cos(7лt - π/3). In each of the following parts, the discrete-time signal x[n] is obtained by sampling x (t) at a rate f, samples/s, and the resultant x[n] can be written as x[n] = A cos(@₁n + y) For each part below, determine the values of A, y, and ₁ such that 0 ≤ ≤. In addition, state whether or not the signal has been over-sampled or under-sampled. (a) Sampling frequency is fs = 9 samples/s. (b) Sampling frequency is fs = 6 samples/s. (c) Sampling frequency is f, = 3 samples/s.
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