Objective:

Design a Phase$-$Locked Loop $($PLL$)$ system that achieves both frequency synthesis and frequency hopping, applicable for Bluetooth protocol. This integrated PLL should be able to produce an integer frequency output for a fixed target frequency and perform frequency hopping across the Bluetooth channel spectrum.

Project Specifications:

Integer PLL Frequency Design

Design a PLL with an output frequency defined as $2\mathrm{.}12$GHz$.$

Subcircuit Parameters:

Reference Frequency $($Fref$)$:$1$ MHz

Charge Pump Current $($Ip$)$:$1\mathrm{.}2$ mAVCO Sensitivity $($KVCO$)$:$150$ MHz$/$V

Requirements:

Ensure the loop bandwidth is less than$$Fref$/15$Calculate resistor $($R$)$ and capacitor $($C$)$ values for the loop filter in MATLAB.Assess system stability using MATLAB by constructing a linear Simulink model of the PLL and computing the Phase Margin $($PM$)$ of the open$-$loop circuit.

Frequency Hopping for Bluetooth Protocol

Design a frequency$-$hopping PLL that adheres to the Bluetooth protocol.Bluetooth Specifications:

Frequency range: $2\mathrm{.}402$ GHz to $2\mathrm{.}480$ GHzTotal channels: $79,$ with each locked frequency representing a channel.

Requirements:

Model the discrete$-$time hopping in MATLAB.Submit a locking plot showing the frequency hopping sequence across all $79$ channels, mimicking the expected result.Calculate and plot frequency$-$locking behavior across the channels.

Submission Requirements:

MATLAB script and Simulink model files for:

Calculating R and C values.Stability and phase response analysis $($Bode plot as shown below$).$

Locking plot for Bluetooth frequency hopping as shown below.

Documentation in Word or word$-$based PDF$,$ explaining design steps, calculations, and results.