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# taylorwin

## Syntax

``w = taylorwin(L)``
``w = taylorwin(L,nbar)``
``w = taylorwin(L,nbar,sll)``

## Description

````w = taylorwin(L)` returns an `L`-point Taylor window.```
````w = taylorwin(L,nbar)` returns an `L`-point Taylor window with a number (`nbar`) of nearly constant-level sidelobes adjacent to the mainlobe.```

example

````w = taylorwin(L,nbar,sll)` returns an `L`-point Taylor window with a maximum sidelobe level of `sll` dB relative to the mainlobe peak.```

## Examples

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Generate a 64-point Taylor window with four nearly constant-level sidelobes and a peak sidelobe level of -35 dB relative to the mainlobe peak. Visualize the result with `wvtool`.

```w = taylorwin(64,4,-35); wvtool(w)```

## Input Arguments

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Window length, specified as a positive integer.

Data Types: `single` | `double`

Number of nearly constant-level sidelobes adjacent to the mainlobe, specified as a positive integer. These sidelobes are “nearly constant-level” because some decay occurs in the transition region.

Maximum sidelobe level relative to mainlobe peak, specified as a real negative scalar in dB. It produces sidelobes with peaks `sll` dB down below the mainlobe peak.

## Output Arguments

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Taylor window, returned as a column vector.

## Algorithms

Taylor windows are similar to Chebyshev windows. A Chebyshev window has the narrowest possible mainlobe for a specified sidelobe level, but a Taylor window allows you to make tradeoffs between the mainlobe width and the sidelobe level. The Taylor distribution avoids edge discontinuities, so Taylor window sidelobes decrease monotonically. Taylor window coefficients are not normalized. Taylor windows are typically used in radar applications, such as weighting synthetic aperture radar images and antenna design.

## References

[1] Carrara, Walter G., Ronald M. Majewski, and Ron S. Goodman. Spotlight Synthetic Aperture Radar: Signal Processing Algorithms. Boston: Artech House, 1995, Appendix D.2.

[2] Brookner, Eli. Practical Phased Array Antenna Systems. Boston: Artech House, 1991.