{[ promptMessage ]}

Bookmark it

{[ promptMessage ]}

quiz2v3_s04

# quiz2v3_s04 - PROBLEM Spring-04-Q.2.1 A periodic signal x(t...

This preview shows pages 1–3. Sign up to view the full content.

PROBLEM Spring-04-Q.2.1: A periodic signal x ( t ) is represented as a Fourier series of the form x ( t ) = k =-∞ ( δ [ k ] - 2 k 2 + 1 ) e j 50 π kt (a) Determine the fundamental period of the signal x ( t ) , i.e., the minimum period. T 0 = 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 ) = 14 cos ( 100 π t + π/ 2 ) + x ( t ) The new signal, y ( t ) can be expressed in the following Fourier Series with new coefficients { b k } : y ( t ) = k =-∞ b k e j 50 π 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 0 b 1 b 2 b 3

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
PROBLEM Spring-04-Q.2.2: For each short question, pick a correct frequency 5 (from the list on the right only) and enter the number in the answer box 6 : Question (a) If the C/D converter output is x [ n ] = A cos ( 0 . 75 π n ) , when the input signal is defined by: x ( t ) = A cos ( 1900 π t ) , then deter-
This is the end of the preview. Sign up to access the rest of the document.

{[ snackBarMessage ]}

### Page1 / 4

quiz2v3_s04 - PROBLEM Spring-04-Q.2.1 A periodic signal x(t...

This preview shows document pages 1 - 3. Sign up to view the full document.

View Full Document
Ask a homework question - tutors are online