ECEN3513 Signal Analysis Lecture

1
ECEN3513 Signal AnalysisLecture 29 30
October 2006

• No assignment today
• Read 7.1 thru 7.2-2
• Problems 7.2-1 to 7.2-3
• Exam 2 results Hi 97, Low 40, Ave.
  70.25Standard Deviation 15.41A gt 90, B gt 78,
  C gt 67, D gt 55

2
Need to find power?

• Evaluate time average.
• Limit 1 ? x(t)2dtT?8 T T
• Evaluate autocorrelation RXX(t) at t 0.
• Find area under power spectrum SXX(f).
• Units are W/Hz. Integrate out Hz left with
  Watts
• Convert X(f) to SXX(f) via Lim 1 X(f)2
• Find area under curve T?8 T
• Limit X(f)2 if line spectra

3
Need to find energy?

• Evaluate time average.
• Limit ? x(t)2dtT?8 T
• Evaluate autocorrelation RXX(t) at t 0.
• Find area under energy spectrum GXX(f).
• Units are J/Hz. Integrate out Hz left with
  Joules
• Convert X(f) to GXX(f) X(f)2
• Find area under curve

4
RC High Pass Filter
H(f)
h(t)
5
Magnitude Phase plots
H(f)
6
1vp, 1 second pulse out of HPF
X(f)H(f) Y(f)
y(t)
7
Output magnitude phase
Y(f)
8
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