# numpy bartlett() in Python

The Bartlett window is very similar to a triangular window, except that the endpoints are at zero. It is often used in signal processing for tapering a signal, without generating too much ripple in the frequency domain.

```Parameters(numpy.bartlett(M)):
M : int Number of points in the output window.
If zero or less, an empty array is returned.

Returns:
out : array```

The triangular window, with the maximum value normalized to one (the value one appears only if the number of samples is odd), with the first and last samples equal to zero.

Example:

 `import` `numpy as np ` `print``(np.bartlett(``12``)) `

Output:

```[ 0.          0.18181818  0.36363636  0.54545455  0.72727273  0.90909091
0.90909091  0.72727273  0.54545455  0.36363636  0.18181818  0.        ]

```

Plotting the window and its frequency response (requires SciPy and matplotlib):
For Window:

 `import` `numpy as np ` `import` `matplotlib.pyplot as plt ` `from` `numpy.fft ``import` `fft, fftshift ` `window ``=` `np.bartlett(``51``) ` `plt.plot(window) ` `plt.title(``"Bartlett window"``) ` `plt.ylabel(``"Amplitude"``) ` `plt.xlabel(``"Sample"``) ` `plt.show() `

Output: For frequency:

 `import` `numpy as np ` `import` `matplotlib.pyplot as plt ` `from` `numpy.fft ``import` `fft, fftshift ` `window ``=` `np.bartlett(``51``) ` `plt.figure() ` `A ``=` `fft(window, ``2048``) ``/` `25.5` `mag ``=` `np.``abs``(fftshift(A)) ` `freq ``=` `np.linspace(``-``0.5``, ``0.5``, ``len``(A)) ` `response ``=` `20` `*` `np.log10(mag) ` `response ``=` `np.clip(response, ``-``100``, ``100``) ` `plt.plot(freq, response) ` `plt.title(``"Frequency response of Bartlett window"``) ` `plt.ylabel(``"Magnitude [dB]"``) ` `plt.xlabel(``"Normalized frequency [cycles per sample]"``) ` `plt.axis(``'tight'``) ` `plt.show() `

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