What’s on the Fourier Pairs poster
A 7-row table: Time domain · Frequency domain.
Every row also reads backwards, by duality.
- Impulse δ(t) — Flat: equal at every frequency
- Constant 1 — Impulse at zero frequency
- Rectangular pulse, width T — sinc shape, first null at 1/T
- Gaussian — Gaussian, width inverted
- cos(2π f₀ t) — A pair of impulses at ±f₀
- Multiplying in time — Convolving in frequency
- Delay by t₀ — Phase ramp, magnitude unchanged
Narrow in one domain is wide in the other. That one fact explains bandwidth, pulse spreading and the uncertainty limit.
Questions about the Fourier Pairs poster
- What’s on the Fourier Pairs poster?
- A 7-row table: Time domain · Frequency domain. Every row also reads backwards, by duality. Impulse δ(t) — Flat: equal at every frequency; Constant 1 — Impulse at zero frequency; Rectangular pulse, width T — sinc shape, first null at 1/T; Gaussian — Gaussian, width inverted; cos(2π f₀ t) — A pair of impulses at ±f₀; Multiplying in time — Convolving in frequency; Delay by t₀ — Phase ramp, magnitude unchanged. Narrow in one domain is wide in the other. That one fact explains bandwidth, pulse spreading and the uncertainty limit.
- Who is the Fourier Pairs poster for?
- Fourier Pairs belongs to the Electrical Engineering section rather than to a school year, because engineering is not something one grade owns. Anyone learning signals & systems can pin it up — a beginner, a student mid-course, or someone revising years later.
- When should you use the Fourier Pairs poster?
- Recognising a pair on sight is faster than integrating, and it is usually enough. A wall chart earns its place by being glanceable from where the work is happening, so Fourier Pairs belongs on the wall where that engineering work actually happens, within glancing distance, rather than filed away.
- What other posters go with Fourier Pairs?
- Filter Responses, Bode Plots and Convolution sit alongside Fourier Pairs in the Electrical Engineering section. Printed together they make a wall rather than a single sheet, which is how a reference set actually gets used.Filter ResponsesBode PlotsConvolution
- Is the Fourier Pairs poster free to download and print?
- Yes. Fourier Pairs downloads as a free PDF with no account, no email and no watermark, like everything else in the Electrical Engineering section. Print as many copies as you like for a home, a classroom, a library or a tutoring group; reselling the file is the only thing the licence rules out.Read the licence
- What size does the Fourier Pairs poster print at?
- Fourier Pairs is a vector PDF laid out for US Letter, and prints on A4 with Fit to page — the same file, no separate download. Because every mark on it is drawn rather than photographed, it stays sharp enlarged to A3, A2 or A1 at a copy shop. Colour carries emphasis only, so a greyscale print of Fourier Pairs loses nothing.Printing guide
Related posters
Charts that sit alongside Fourier Pairs on the same wall.
Browse every Electrical Engineering poster, or start from the full catalogue.