# CSP Blog Highlights

Welcome to the CSP Blog!

To help new readers, I’m supplying here links to the posts that have gotten the most attention over the lifetime of the Blog. Omitted from this list are the more esoteric topics as well as most of the posts that comment on the engineering literature.

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You can see a pre-publication version of my latest CSP journal paper, on “tunneling“, here.

### Cyclostationarity and Machine Learning

A challenge for the Machine Learners: carrier-frequency-offset estimation

Data set for the Machine-Learner CFO challenge

Review of ML modulation recognition paper by T. O’Shea

Review of ML modulation recognition paper by M. Kulin

Can a machine learn the Fourier transform? Part I. Part II

How humans learned cyclostationary signal processing

### What is Cyclostationarity?

Introductory post.

Spectral correlation.

Cyclic autocorrelation.

Higher-order cyclostationarity.

### Can I Get Help with my CSP Work Through the CSP Blog?

General rules for getting help.

Second-order estimator development guide.

### What is Higher-Order Cyclostationarity and What are Cyclic Cumulants?

Introduction to higher-order cyclostationarity.

Cyclic cumulants and cyclic moments.

Optional conjugations in higher-order parameters.

The cyclic polyspectrum.

### How do You Estimate the Parameters of Second-Order Cyclostationarity?

The frequency-smoothing method for spectral correlation estimation, one cycle frequency at a time.

The time-smoothing method for spectral correlation estimation, one cycle frequency at a time.

Exhaustive efficient spectral correlation estimation, all cycle frequencies (SSCA).

Spectral coherence and blind estimationÂ of significant cycle frequencies.

Exhaustive efficient spectral correlation estimation, all cycle frequencies (FAM).

Second-order estimator development guide.

### How do You Estimate the Parameters of Higher-Order Cyclostationarity?

Synchronized averaging and the cyclic-moment-to-cyclic-cumulant formula.

### What are Some Applications of Cyclostationarity?

Noise- and interference-tolerant signal presence detection.

Noise- and interference-tolerant time-delay estimation.

Modulation recognition.

Carrier and symbol synchronization.

### What Estimator and Signal Parameters Affect CSP Performance?

The resolution product.

Resolution in frequency, time, and cycle frequency.

Excess bandwidth in digital QAM/PSK.

### Cyclostationarity of Modulated RF Waveforms

DSSS signals.

Digital QAM/PSK with square-root raised-cosine pulses

A gallery of spectral correlation functions