I created a signal with lets say W1 that is fixed at 1 bin in the fft: $$A_1\cos(W_1t)$$

I was asked to find the closest $W_2$ to $W_1$ which the signals $A_1\cos(W_1t)$, $A_2\cos(W_2t)$ are separable.

Now i only know the ratio A1/A2 in db and W1 that I chose.

$$s(t)=A_1\cos(W_1t)+A_2\cos(W_2t)$$

Now my questions are:

1. What is the optimum(minimal) length of the windows?
2. Number of points for the Dft?
3. What (If existing) is the relation between the $\frac{A_1}{A_2}$ ratio to the Dft points?

I created a signal with lets say $\omega_1$ that is fixed at 1 bin in the FFT: $$A_1\cos(\omega_1t)$$

I was asked to find the closest $\omega_2$ to $\omega_1$ so that the signals $A_1\cos(\omega_1t)$ and $A_2\cos(\omega_2t)$ are separable.

I only know the ratio $A_1/A_2$ in dB and the $\omega_1$ that I chose.

$$s(t)=A_1\cos(\omega_1t)+A_2\cos(\omega_2t)$$

Now my questions are:

1. What is the minimum window length?
2. Number of points for the DFT?
3. What is the relationship (if any exists) between the ratio $\frac{A_1}{A_2}$ and the DFT points?

I created a signal with lets say W1 that is fixed at 1 bin in the fft: $$A_1\cos(W_1t)$$

I was asked to find the closest $W_2$ to $W_1$ which the signals $A_1\cos(W_1t)$, $A_2\cos(W_2t)$.

Now i only know the ratio A1/A2 in db and W1 that I chose.

$$s(t)=A_1\cos(W_1t)+A_2\cos(W_2t)$$

Now my questions are:

1. What is the optimum(minimal) length of the windows?
2. Number of points for the Dft?
3. What (If existing) is the relation between the $\frac{A_1}{A_2}$ ratio to the Dft points?

I created a signal with lets say W1 that is fixed at 1 bin in the fft: $$A_1\cos(W_1t)$$

I was asked to find the closest $W_2$ to $W_1$ which the signals $A_1\cos(W_1t)$, $A_2\cos(W_2t)$ are separable.

Now i only know the ratio A1/A2 in db and W1 that I chose.

$$s(t)=A_1\cos(W_1t)+A_2\cos(W_2t)$$

Now my questions are:

1. What is the optimum(minimal) length of the windows?
2. Number of points for the Dft?
3. What (If existing) is the relation between the $\frac{A_1}{A_2}$ ratio to the Dft points?

I created a signal with lets say W1 that is fixed at 1 bin in the fft: A1cos(W1t).

I was asked to find the closest W2 to W1 which the signals A1cos(W1t), A2cos(W2t).

Now i only know the ratio A1/A2 in db and W1 that I chose.

(s(t)=A1cos(W1t)+A2cos(W2t))

Now my questions are:

1.What is the optimum(minimal) length of the windows?

2.Number of points for the Dft?

3.What (If exists) is the relation between the A1/A2 ratio to the Dft points?

I created a signal with lets say W1 that is fixed at 1 bin in the fft: $$A_1\cos(W_1t)$$

I was asked to find the closest $W_2$ to $W_1$ which the signals $A_1\cos(W_1t)$, $A_2\cos(W_2t)$.

Now i only know the ratio A1/A2 in db and W1 that I chose.

$$s(t)=A_1\cos(W_1t)+A_2\cos(W_2t)$$

Now my questions are:

1. What is the optimum(minimal) length of the windows?
2. Number of points for the Dft?
3. What (If existing) is the relation between the $\frac{A_1}{A_2}$ ratio to the Dft points?