Homework #5

Signals and Systems – Columbia University – Fall 2007

Due 10/11/07

Problems from the textbook:

4.1-4 (b)
4.1-6 (b)
4.1-7 (a)

Additionally:

A1)

Let x(t) be a periodic signal with Fourier series coefficients Xn. Find the
Fourier series expansion of the following signals:

(a) x(t-t₀) + x(t+ t₀)
(b) Real { x(t) }
(c) Imag { x(t) }
(d) x( -2 t +1 )

A2)

If x(t) is real and periodic
(a) If x(t) is odd, show Xn is imaginary and odd.
(b) Find the Fourier series coefficients of the odd components of x(t)

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Please drop assignment by 5PM on due date, on mailboxes H8 or H2, in the EE Student Lounge (13^th Floor Mudd Building)