Chapter 4 Continuous time Fourier transform(CTFT)4.3 Operation properties of CTFT,Transform pair,Transform,Inverse transform,Properties of CTFT,Linearity,Properties of CTFT,Time and frequency shifting,When time shifting, the magnitude of spectrum will not change !,Properties of CTFT,Time and frequency scaling,When time signal compressed , the spectrum stretched !,Properties of CTFT,Time and frequency differentiation,When differentiation in one domain, multiplied with variable in another !,Properties of CTFT,Parsevals relation,If the integral above is finite, then the signal and its spectrum can only exist in finite area !,Properties of CTFT,Time and frequency convolution,When convolution in one domain, multiplication in another !,Proof :,Properties of CTFT,Conjugation and conjugate symmetry,real,even,odd,real and even,real and even,real and odd,Imaginary and odd,P290. 4.1 4.2,4.4 The examples of CTFT,The examples of CTFT,Reversal,The examples of CTFT,Duality,The examples of CTFT,P293. 4.4 4.5,The examples of CTFT,Duality,Square wave function in one domain, sinc function in another !,The examples of CTFT,maximum value :,Zero point (width of each lobe):,The examples of CTFT,P303. 4.9,The examples of CTFT,P303. 4.9,The examples of CTFT,P307. 4.12,The examples of CTFT,P307. 4.12,The examples of CTFT,P307. 4.23,