quiz2v4_s04 - PROBLEM s-04-Q.2.1: A periodic signal x ( t )...

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Unformatted text preview: PROBLEM s-04-Q.2.1: A periodic signal x ( t ) is represented as a Fourier series of the form x ( t ) = X k =- ( j k + 5 [ k ] ) e j . 5 kt (a) Determine the fundamental period of the signal x ( t ) , i.e., the minimum period. T = sec. (Give a numerical answer.) (b) Determine the DC value of x ( t ) . Give your answer as a number. DC = (c) Define a new signal by adding a sinusoid to x ( t ) y ( t ) = 2 cos ( 1 . 5 t- ) + x ( t ) The new signal, y ( t ) can be expressed in the following Fourier Series with new coefficients { b k } : y ( t ) = X k =- b k e j . 5 kt Fill in the following table, giving numerical values for each { b k } in polar form:. Hint: Find a simple relationship between { b k } and { a k } . b k Mag Phase b- 3 b- 2 b- 1 b b 1 b 2 b 3 PROBLEM s-04-Q.2.2: For each short question, pick a correct frequency 7 (from the list on the right only) and enter the number in the answer box 8 : Question (a) If the C/D converter output is x [ n ] = A cos ( .....
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quiz2v4_s04 - PROBLEM s-04-Q.2.1: A periodic signal x ( t )...

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