0

So,

I need to design a PLL that needs to track carrier frequencies used in WLAN 802.11b (2.412 GHz to 2.484 GHz with 20 MHz of bandwidth for each carrier). Below the schema.

simulate this circuit – Schematic created using CircuitLab

Where

`K_PD`
and
`K_VCO`
are the constants of the phase detector and the VCO. N divider is the divider for the referance frequency that, in my case is 1 MHz (N divider varies between 2412 and 2484 according to which frequency I’m tracking).

To design the PLL I have a VCO with bandwith from 2.3 GHz to 2.5 GHz and 𝛿 = 1. The LPF must ahve bandwith 50 kHz.

With these informations I need to find R1, C1 of the LPF and

`K_PD`
and
`K_VCO`
of the PLL but I have no idea where to start.

I know the transfer function of the PLL in my scheme is:



and I know the equation 𝛿 and 𝜔_n but still I can’t understand how to proceed.

I have calculated R1 and C1 given the bandwitch of my filter but, there are multiple solutions because of the position of where I want o put my pole in the transfer function