Consider the analog signal, $$x(t) = 2\cos(3000\pi t)+3\sin(4000\pi t)+7\cos(6000\pi t)$$ If the sampling rate is 8000 samples per second and quantized at 8 bits, find:
- Discrete values at any two points
- Quantization error at those points
I have been trying to solve this with no success so far. How can I solve this?
So far what I have done is convert $x(t)$ which is continuous time signal to $x[n]$ which is discrete time signal.
$$x[n]= 2\cos\left(\frac{3\pi}{8}n\right)+3\sin\left(\frac{3\pi} {2}n\right)+7\cos\left(\frac{3\pi}{4} n\right)$$ where $n$ is integer. By any two points what I mean is for any two values of $n$. For example, suppose I calculate $x[n]$ for $n=1$ and $n=2$. How do I find quantization error at those points?