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Homework Statement
x(t) = 3*sin(1000*pi*t)
Suppose that the signal is sampled at a rate of fs = 2000Hz. What is the discrete time signal obtained after sampling (i.e., the signal expressed as a function of sample number n, x[n])
What discrete time frequency, f-hat will the signal x[n] be at if x(t) is sampled at its nyquist frequency?
Homework Equations
From the previous parts of this problem:
Original Frequency in hertz: 500 Hz
Niquist frequency: 1000 Hz
The Attempt at a Solution
I do not understand what a discrete time signal is, and as such, i have no idea what to do for these two steps of the problem.