Problem

Prove mathematically that the following properties of the Fourier transform described in...

Prove mathematically that the following properties of the Fourier transform described in Table 5.1 are valid:

(a) Linearity

(b) Tune shifting

(c) Duality

(d) Frequency shifting

(e) Time differentiation

(f) Time convolution

(g) Time-scale property

(h) Time-multiplication property

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Solutions For Problems in Chapter 5