Bandwidth limited pulse,what window function is it?

1. What is bandwidth of a pulse?
2. What is window function in signal processing?
3. What is Hamming and Hanning window?
4. What is bandwidth of a Gaussian pulse?

What is bandwidth of a pulse?

A bandwidth-limited pulse (also known as Fourier-transform-limited pulse, or more commonly, transform-limited pulse) is a pulse of a wave that has the minimum possible duration for a given spectral bandwidth. Bandwidth-limited pulses have a constant phase across all frequencies making up the pulse.

What is window function in signal processing?

In signal processing and statistics, a window function (also known as an apodization function or tapering function) is a mathematical function that is zero-valued outside of some chosen interval, normally symmetric around the middle of the interval, usually near a maximum in the middle, and usually tapering away from ...

What is Hamming and Hanning window?

The Hamming window is an extension of the Hann window in the sense that it is a raised cosine window of the form. (A3.10) with a corresponding spectrum of the form. (A3.11) The parameter a permits the optimization of the destructive sidelobe cancellation mentioned in the description of the Hann window.

What is bandwidth of a Gaussian pulse?

In many cases, Gaussian pulses have no chirp, i.e., are transform-limited. In that case, the spectral width (optical bandwidth, taken as full width at half maximum) is. which means that the time–bandwidth product is ≈ 0.44.