Common Applications

Find a Signal in a Measurement

Determine if a signal matches a segment of a noisy longer stream of data.

Align Two Simple Signals

Learn to align signals of different lengths using cross-correlation.

Align Signals with Different Start Times

Synchronize data collected by different sensors at different instants.

Align Signals Using Cross-Correlation

Use cross-correlation to fuse asynchronous data.

Find Periodicity Using Autocorrelation

Verify the presence of cycles in a noisy signal, and determine their durations.

Echo Cancelation

Use autocorrelation to filter out an echo from a speech recording.

Autocorrelation and Cross-Correlation

Cross-Correlation with Multichannel Input

Compute autocorrelations and cross-correlations of a multichannel signal.

Confidence Intervals for Sample Autocorrelation

Create confidence intervals for the autocorrelation sequence of a white noise process.

Autocorrelation Function of Exponential Sequence

Compute the autocorrelation of an exponential sequence and compare it to the analytic result.

Cross-Correlation of Two Exponential Sequences

Compute the cross-correlation of two exponential sequences and compare it to the analytic result.

Autocorrelation of Moving Average Process

Use filtering to introduce autocorrelation into a white noise process.

Cross-Correlation of Two Moving Average Processes

Find and plot the cross-correlation sequence between two moving average processes.

Cross-Correlation of Delayed Signal in Noise

Use the cross-correlation sequence to detect the time delay in a noise-corrupted sequence.

Cross-Correlation of Phase-Lagged Sine Wave

Use the cross-correlation sequence to estimate the phase lag between two sine waves.

Linear and Circular Convolution

Establish an equivalence between linear and circular convolution.