Four-Sample Fourier Transform
Transform four equally spaced real samples into their discrete Fourier frequency components.
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1444 tools
Transform four equally spaced real samples into their discrete Fourier frequency components.
MathOpen tool ↗Map a planar point through a geometric inversion circle while preserving its radial direction.
GeometryOpen tool ↗Find both real roots and the vertex of a quadratic polynomial from its coefficients.
MathOpen tool ↗Compare eyepiece magnification, exit pupil and approximate true field of view.
AstronomyOpen tool ↗Compare angular pixel scale with seeing and estimate pixels across a target.
AstronomyOpen tool ↗Calculate orbital velocity, period and specific energy around a specified body.
AstronomyOpen tool ↗Find eccentricity, semimajor axis and speed at the near and far points of an orbit.
AstronomyOpen tool ↗Estimate two impulsive burns and coast time between coplanar circular orbits.
AstronomyOpen tool ↗Estimate an ideal impulsive plane change at a selected orbital speed.
AstronomyOpen tool ↗Estimate the time between repeated alignments of two bodies with constant orbital periods.
AstronomyOpen tool ↗Estimate the fraction of stellar light blocked by a smaller opaque planet.
AstronomyOpen tool ↗Infer stellar distance from apparent and absolute magnitude with an extinction allowance.
AstronomyOpen tool ↗Combine the apparent brightness of two unresolved stars.
AstronomyOpen tool ↗Estimate peak wavelength and emitted power per unit area for an ideal blackbody.
AstronomyOpen tool ↗Estimate luminosity relative to the Sun under a spherical blackbody model.
AstronomyOpen tool ↗Calculate redshift and radial velocity using both small-shift and relativistic formulas.
AstronomyOpen tool ↗Estimate stacked signal-to-noise from source, background, dark current and read noise.
AstronomyOpen tool ↗Estimate atmospheric path length relative to the zenith at moderate altitude.
AstronomyOpen tool ↗Calculate the angle subtended by a circular object of known diameter and distance.
AstronomyOpen tool ↗Estimate clear collecting area and the fractional loss from a central obstruction.
AstronomyOpen tool ↗Estimate the leading-order radial tidal acceleration across a short object.
AstronomyOpen tool ↗Calculate hyperfocal distance and the near sharp limit when focused at that distance.
PhotographyOpen tool ↗Find image distance and signed magnification for a thin lens and real object.
PhotographyOpen tool ↗Estimate magnification and exposure increase from lens extension beyond infinity focus.
PhotographyOpen tool ↗Compare Airy disk diameter with sensor pixel pitch.
PhotographyOpen tool ↗Estimate flash distance at an aperture, ISO and power fraction using a supplied guide number.
PhotographyOpen tool ↗Calculate exposure duration after a neutral-density filter and display optical density.
PhotographyOpen tool ↗Plan image count and step angle for a chosen panorama width and overlap.
PhotographyOpen tool ↗Estimate depth and first-order depth uncertainty from disparity.
PhotographyOpen tool ↗Measure framing change between focus distances using the same reference object.
PhotographyOpen tool ↗Calculate desqueezed dimensions and aspect ratio for anamorphic footage.
PhotographyOpen tool ↗Estimate ideal transmission through a second polarizer at a chosen relative angle.
PhotographyOpen tool ↗Calculate the critical angle for a ray crossing from higher to lower refractive index.
PhotographyOpen tool ↗Calculate the diffraction angle and highest possible order for normal incidence.
PhotographyOpen tool ↗Calculate image width, height and diagonal from throw distance and lens ratio.
PhotographyOpen tool ↗Add two uncorrelated sound levels using their intensity contributions.
AudioOpen tool ↗Estimate level change as listening distance changes from a reference point.
AudioOpen tool ↗Align arrivals from two speaker distances using a supplied sound speed.
AudioOpen tool ↗Calculate a selected three-dimensional axial, tangential or oblique room mode.
AudioOpen tool ↗Estimate decay time and the additional absorption needed to reach a target RT60.
AudioOpen tool ↗Estimate resonator frequency from neck cross-section, effective neck length and cavity volume.
AudioOpen tool ↗Predict the first cancellation and spacing caused by an equal-amplitude delayed copy.
AudioOpen tool ↗Calculate steady-state output above a hard-knee compressor threshold.
AudioOpen tool ↗Estimate the ideal full-scale sine signal-to-quantization-noise ratio for a bit depth.
AudioOpen tool ↗Estimate audible beating and cents detuning between two nearby sine tones.
AudioOpen tool ↗Estimate observed frequency for motion directly along the source-observer line.
AudioOpen tool ↗Compare the fundamental and first overtone of ideal open and one-end-closed pipes.
AudioOpen tool ↗Calculate playback duration and speed percentage when high-frame-rate footage is conformed.
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