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**1. 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?

**2. Homework Equations**

From the previous parts of this problem:

Original Frequency in hertz: 500 Hz

Niquist frequency: 1000 Hz

**3. 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.