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hann — Generate a Hann window as an N-by-1 real column vector.

hann generates Hann windows for signal-processing workflows such as spectral analysis and filter design. RunMat supports the common MATLAB call forms for symmetric and periodic windows, including optional single-precision output.

How hann works

  • hann(L) returns an L x 1 symmetric Hann window.
  • hann(L, 'periodic') returns the periodic form used in spectral-analysis workflows.
  • hann(..., 'single') returns a single-precision window; 'double' is the default.
  • If L is noninteger, RunMat rounds it to the nearest integer before constructing the window.
  • hann(0) returns an empty 0 x 1 tensor.
  • hann(1) returns 1.
  • For the symmetric case and L > 1, coefficients follow 0.5 - 0.5*cos(2*pi*n/(L-1)).
  • The periodic form is constructed by evaluating a symmetric window of length L + 1 and dropping the final sample.

Examples

Generate a short Hann window

w = hann(8);
disp(w')

Generate a periodic Hann window for spectral analysis

w = hann(8, 'periodic');
disp(w')

Generate a single-precision Hann window

w = hann(8, 'single');
class(w)

FAQ

What is the difference between the symmetric and periodic Hann window?

Use the default symmetric window for filter-design style workflows. Use 'periodic' for spectral analysis, where MATLAB and RunMat construct a symmetric window of length L + 1 and drop the last sample so the sequence matches the periodicity assumptions of the DFT.

What shape does hann(L) return?

It returns an L x 1 column vector, matching MATLAB's window-function convention.

Does hann support single precision?

Yes. Pass 'single' as the final option to request a single-precision output. The default output type is double precision.

Signal

blackman · conv · conv2 · deconv · filter · hamming

Elementwise

abs · angle · conj · double · exp · expm1 · factorial · gamma · hypot · imag · ldivide · log · log10 · log1p · log2 · minus · nextpow2 · plus · pow2 · power · rdivide · real · sign · single · sqrt · times

Trigonometry

acos · acosh · asin · asinh · atan · atan2 · atanh · cos · cosh · deg2rad · rad2deg · sin · sinh · tan · tanh

Reduction

all · any · cummax · cummin · cumprod · cumsum · cumtrapz · diff · gradient · max · mean · median · min · nnz · prod · std · sum · trapz · var

Rounding

ceil · fix · floor · mod · rem · round

Factor

chol · eig · lu · qr · svd

Solve

cond · det · inv · linsolve · norm · pinv · rank · rcond

Fft

fft · fft2 · fftshift · ifft · ifft2 · ifftshift

Optim

fsolve · fzero · optimset

Interpolation

interp1 · interp2 · pchip · ppval · spline

Ode

ode15s · ode23 · ode45

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