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F { tri ⁡ ⁡ ( t a ) } = F { 1 a rect ⁡ ⁡ ( t a ) ∗ ∗ 1 a rect ⁡ ⁡ ( t a ) } = 1 a F { rect ⁡ ⁡ ( t a ) } ⋅ ⋅ F { rect ⁡ ⁡ ( t a ) } = 1 a F { rect ⁡ ⁡ ( t a ) } 2 = 1 a a 2 s i n c 2 ( a ⋅ ⋅ f ) = a s i n c 2 ( a ⋅ ⋅ f ) . {\displaystyle {\begin{aligned}{\mathcal {F}}\{\operatorname {tri} \left({\tfrac {t}{a}}\right)\}&={\mathcal {F}}\{{\tfrac {1}{\sqrt {a}}}\operatorname {rect} \left({\tfrac {t}{a}}\right)*{\tfrac {1}{\sqrt {a}}}\operatorname {rect} \left({\tfrac {t}{a}}\right)\}\\&={\tfrac {1}{a}}\ {\mathcal {F}}\{\operatorname {rect} \left({\tfrac {t}{a}}\right)\}\cdot {\mathcal {F}}\{\operatorname {rect} \left({\tfrac {t}{a}}\right)\}\\&={\tfrac {1}{a}}\ {\mathcal {F}}\{\operatorname {rect} \left({\tfrac {t}{a}}\right)\}^{2}\\&={\tfrac {1}{a}}\ {a}^{2}\ \mathrm {sinc} ^{2}(a\cdot f)={a}\ \mathrm {sinc} ^{2}(a\cdot f).\end{aligned}}}

• Källén function, also known as triangle function

• Tent map

• Triangular distribution

• Triangle wave, a piecewise linear periodic function

• Trigonometric functions

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