Randomized FM

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XenoEngineering

Randomizing duty cycle about a center frequency

FM Modulation of Noise

• https://chat.openai.com/share/bbb0bace-824b-4f25-a26e-020b5c0c9677
• June 2023
• See dialog below

Noise Circuit Design and NMR

• https://chat.openai.com/share/2d6d57ac-2e6a-43eb-98f3-2900b1e03574
• April 2023
• See dialog below

Squaring Zener noise

• https://chat.openai.com/share/51eefb78-4902-446f-bef5-31c841596e49

OpenAI.com ChatGPT source: https://chat.openai.com/share/bbb0bace-824b-4f25-a26e-020b5c0c9677

FM Modulation of Noise

June 23, 2023

XenoEngineer

Explain how to create an FM modulation of noise onto the timing-edge of a continuous wave oscillation.

ChatGPT

To create an FM (Frequency Modulation) modulation of noise onto the timing edge of a continuous wave oscillation, you can follow these general steps:

Generate a continuous wave oscillation: Start by generating a continuous wave (CW) signal using an oscillator circuit or a function generator. This signal will act as the carrier wave for the FM modulation.

Generate the noise signal: Create a noise signal using a noise generator or by any means that can generate random variations. This noise signal will serve as the modulating signal for the FM modulation.

Amplify the noise signal: Amplify the noise signal to an appropriate level. You can use an amplifier circuit to increase the amplitude of the noise signal. Ensure that the amplified noise signal is compatible with the modulation circuitry.

Combine the carrier and noise signals: Use a mixer or modulator circuit to combine the carrier wave and the amplified noise signal. The modulator circuit will impose the variations of the noise signal onto the timing edge of the carrier wave.

Apply the FM modulation technique: Apply the FM modulation technique to the combined signal. The specific method for FM modulation depends on the components and circuitry you are using. You can use a phase-locked loop (PLL) or a voltage-controlled oscillator (VCO) to achieve the desired frequency modulation.

Adjust modulation parameters: Fine-tune the modulation parameters, such as the modulation index or modulation depth, to control the amount of frequency deviation caused by the noise signal. This adjustment will determine the extent of modulation applied to the carrier wave.

Filter unwanted components: Employ a low-pass filter to remove any unwanted high-frequency components generated during the FM modulation process. This filter will help clean up the output signal, ensuring that only the desired modulated signal remains.

Observe the modulated output: Connect an oscilloscope or any suitable measuring instrument to observe and verify the modulated output signal. You should be able to see the variations in the timing edge of the carrier wave caused by the modulating noise signal.

It's important to note that the specific circuitry and components used for FM modulation may vary depending on the application and desired results. It's recommended to consult relevant literature, datasheets, or seek expert advice to tailor the modulation setup to your specific requirements.

XenoEngineer

If a sawtooth wave of adjustable slope (dv/dt) is applied to a comparator (opamp circuit), and the other input is a randomized pulse signal (the noise) such that the square wave caused the comparator output to change at variable times within the rising slope.  You described this circuit to me once before.

ChatGPT

Apologies for the confusion. If you're referring to the specific circuit involving a sawtooth wave applied to a comparator with a randomized pulse signal as the other input, I can provide you with a brief description.

In this circuit, the sawtooth wave with an adjustable slope is used as a ramp signal, and the randomized pulse signal serves as a modulating signal. The comparator compares these two signals and produces an output that changes at variable times within the rising slope of the sawtooth wave.

Here's how the circuit can be implemented:

Generate a sawtooth wave: Use an oscillator circuit or a function generator to generate a sawtooth wave. The frequency and amplitude of the sawtooth wave can be adjusted according to your requirements. The slope of the sawtooth wave can be controlled by adjusting the charging/discharging time of a capacitor in the oscillator circuit.

Generate a randomized pulse signal: Create a pulse generator circuit that produces randomized pulse signals. This can be achieved by using a noise source, such as a random voltage generator or a noise diode, combined with a pulse shaping circuit to create sharp pulses.

Connect the sawtooth wave and randomized pulse signal to the comparator: Connect the sawtooth wave generator's output to one input of the comparator and the randomized pulse signal generator's output to the other input of the comparator. The comparator compares the voltages of these two signals.

Observe the output: Connect the output of the comparator to an oscilloscope or any suitable measuring instrument to observe the changes in the comparator's output. The output will change at variable times within the rising slope of the sawtooth wave, depending on the timing and amplitude of the randomized pulse signal.

By adjusting the amplitude and timing characteristics of the randomized pulse signal, you can control the points at which the comparator's output changes during the rising slope of the sawtooth wave.

Please note that the specific implementation details may vary depending on the exact circuit components and specifications you are using. It's advisable to refer to relevant circuit diagrams, datasheets, or consult an expert in electronics for a more accurate and tailored implementation.