Autocorrelation function of a triangular wave

1. What is the autocorrelation of a triangular function?
2. What is autocorrelation for a waveform?
3. What is the autocorrelation function of sine wave?
4. How do you find the autocorrelation function of a signal?

What is the autocorrelation of a triangular function?

The autocorrelation is a sinusoid under a triangle, and its spectrum is a broadened impulse (which can be shown to be a narrow sinc-squared function). . Its autocorrelation is another sinc function, and its spectrum is a rectangle function.

What is autocorrelation for a waveform?

"Autocorrelation" is used to compare a signal with a time-delayed version of itself. If a signal is periodic, then the signal will be perfectly correlated with a version of itself if the time-delay is an integer number of periods.

What is the autocorrelation function of sine wave?

The autocorrelation of a sine wave is a cosine waveshape [REF10]. This means when looking for a periodic sinusoid signal in random noise the autocorrelation function will show a cosine waveshape mixed with the autocorrelation function of the random noise.

How do you find the autocorrelation function of a signal?

Just multiply g(t)=e−2tu(t) with g(t+T)=e−2(t+T)u(t+T) and integrate. The lower integration limit comes from the multiplication of the two step functions. If T>0 then u(t) determines the lower limit, otherwise u(t+T) determines the lower limit.