Application notes

Non-invasive loop stability measurement of a voltage regulator using Moku:Pro.

In this application note, we demonstrate how to perform both traditional (invasive) and non-invasive stability measurements (NISM) on a voltage regulator (VRTS 1.5) using the Frequency Response Analyzer on Moku:Pro . By comparing the two methods, we show that the NISM technique provides phase margin estimates that closely match those from traditional loop - breaking measurements, while eliminating the need to physically interrupt the circuit . These results confirm that NISM is a reliable and efficient tool for assessing control loop stability, offering engineers a faster and more practical alternative to conventional techniques.

Featuring: Moku:Pro, Frequency Response Analyzer

Calculating cross-correlation in the time and frequency domain using Moku:Pro.

In this application note, we introduce the integral form of cross correlation and examine its physical meaning. Cross-correlation a useful technique in signal processing, essentially comparing the similarity of two signals. We discuss its use in signal processing applications. Finally, we present the concept of cross-power spectral density, which is the equivalent of cross correlation in the frequency domain, using the Moku Oscilloscope and Spectrum Analyzer to illustrate several examples.

Featuring: Moku:Pro, Spectrum Analyzer

Moku Gigabit Streamer Quick Start Guide

A concise guide to configuring direct sample streaming between two Moku:Delta devices using the Gigabit Streamer, including instrument placement, SFP connections, routing, and essential network parameters for reliable real-time operation.

Featuring: Moku:Delta, Gigabit Streamer

Second-order correlation using the Moku Time & Frequency Analyzer

In this application note, we give an overview of the second-order correlation function and its physical meaning. We then discuss how to set up and collect the requisite data using the Moku Time & Frequency Analyzer, as well as use the built-in correlation calculator. Finally, we demonstrate two different methods for calculating the function and show that they agree well with each other.

Featuring: Moku:Pro, Time & Frequency Analyzer

Optimizing a phase-locked loop via open-loop transfer function analysis

In this application note, a voltage-controlled oscillator (VCO) is stabilized using the Moku:Pro in Multi-Instrument Mode, integrating a Lock-in Amplifier for error detection and feedback control with a Frequency Response Analyzer for measuring the transfer function. The system’s open loop transfer function (OLTF) is modeled, simulated, and validated against experimental measurements.

Featuring: Moku:Pro, Frequency Response Analyzer, Lock-in Amplifier

Phase measurement of microvolt signals by limiting signal bandwidth

In this application note, we demonstrate how to phase-modulate and externally attenuate a high-frequency tone to achieve peak-to-peak signal amplitudes in the microvolt and sub-microvolt range.

Featuring: Moku:Pro, Lock-in Amplifier

Figure 3: Frequency Response Analyzer interface and settings for PSRR
Power Supply Rejection Ratio Measurements with the Moku:Pro Frequency Response Analyzer

In this application note, the Frequency Response Analyzer is used to inject a perturbation signal onto the DC input of a voltage regulator, and to measure the transfer function of the input ripple to the output ripple of the regulator.

Featuring: Moku:Pro, Frequency Response Analyzer

Results of the FRA show that the real resonant peak is about 4.0956 MHz.
Dual Frequency Resonance Tracking: Part 2

Learn how the DFRT method works when tracking the resonant peak of a crystal to test the real-world capability.

Featuring: Moku:Pro, Frequency Response Analyzer, Waveform Generator, Phasemeter, Lock-in Amplifier

Building dual boxcar averagers

Explore the configuration and operational principles of dual boxcar averagers, using Moku Cloud Compile on Moku:Pro — and find out how to download the bitstreams

Featuring: Moku:Pro, Moku Cloud Compile