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1、Chapter 3 Fourier series representation of periodic signals(CTFS and DTFS),3.4 Operation properties of CTFS,Linearity,If,Then,All signals must have same period T !,Linearity,Time shifting,Magnitude will not change, but add a linear phase !,Time shifting,Time scaling,When period is compressed, the fr
2、equency interval is stretched !,Time scaling,Differential property,Time reversal,Both signals are reversed !,Conjugation and conjugate symmetry,Conjugation and conjugate symmetry,Parsevals relation (Energy relation),3.5 The method to get frequency spectrum,Use basic transform pair and operation prop
3、erties !,The method to get frequency spectrum,Step 1:,Determine fundamental period and frequency from the given signal:,The method to get frequency spectrum,Step 2:,Determine the DC component:,The method to get frequency spectrum,Step 3:,Differentiate to get an time equation include the impulse trai
4、n:,The method to get frequency spectrum,Step 4:,Use basic properties and basic transform pair to do the transform,Example :how to get frequency spectrum,Square wave (3.6),Example :how to get frequency spectrum,Triangular wave (3.7),Example :how to get frequency spectrum,Example :how to get frequency spectrum,Half sinusoidal wave,Example :how to get frequency spectrum,zigzag wave,Dont use the constant in the differentiation !,Example :how to get frequency spectrum,
