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PROBLEM 5.2*: Suppose that a continuous-time sinusoid $x(t) = 4 \cos(1800\pi t + \pi/3)$ is sampled with a sampling frequency of $f_s$, producing the discrete-time signal $x[n] = x(n/f_s)$. (a) Find a value of $f_s$ so that $x[n] = 4\cos(0.4\pi n + \pi/3)$. (b) Find a value of $f_s$ so that $x[n] = 4\cos(0.4\pi n - \pi/3)$. (c) Find a value of $f_s$ so that $x[n] = 2$ for all $n$. (d) Find a value of $f_s$ so that $x[n] = 2(-1)^n$

          PROBLEM 5.2*:
Suppose that a continuous-time sinusoid $x(t) = 4 \cos(1800\pi t + \pi/3)$ is sampled with a sampling
frequency of $f_s$, producing the discrete-time signal $x[n] = x(n/f_s)$.
(a) Find a value of $f_s$ so that $x[n] = 4\cos(0.4\pi n + \pi/3)$.
(b) Find a value of $f_s$ so that $x[n] = 4\cos(0.4\pi n - \pi/3)$.
(c) Find a value of $f_s$ so that $x[n] = 2$ for all $n$.
(d) Find a value of $f_s$ so that $x[n] = 2(-1)^n$

PROBLEM 5.2*:
Suppose that a continuous-time sinusoid x(t) = 4 cos(1800π t + π/3) is sampled with a sampling
frequency of fs, producing the discrete-time signal x[n] = x(n/fs).
(a) Find a value of fs so that x[n] = 4cos(0.4π n + π/3).
(b) Find a value of fs so that x[n] = 4cos(0.4π n - π/3).
(c) Find a value of fs so that x[n] = 2 for all n.
(d) Find a value of fs so that x[n] = 2(-1)^n

Added by Gary P.

University Physics with Modern Physics

Hugh D. Young 14th Edition

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Engineering Homework-5.2 PLS HELP. Will like and comment for full response :) Please answer all parts as this is URGENT, if you're unable to please leave for someone else :) PROBLEM 5.2* Suppose that a continuous-time sinusoid x(t) = 4 cos(1800nt + n/3) is sampled with a sampling frequency of fs, producing the discrete-time signal x[n] = x(n/fs). (a) Find a value of fs so that x[n] = 4cos(0.4tn + T/3). (b) Find a value of fs so that x[n] = 4cos(0.4n - n/3) (c) Find a value of fs so that x[n] = 2 for all n. (d) Find a value of fs so that x[n] = 2(-1)n