ECEN4503 Random Signals Lecture #6 26 January 2014 Dr. George Scheets n Read: 3.2 & 3.3 n Problems: 2.28, 3.3, 3.4, 3.7 (1 st Edition) n Problems: 2.61, 3.12, 3.13, 3.16 (2 nd Edition)

ECEN4503 Random Signals Lecture #7 25 January 2013 Dr. George Scheets n Read 3.5 & 4.1; Scan 3.4 n Problems: 2.29, 2.30, 3.11, 3.14 (1 st Edition) n Problems: 2.62, 2.63, 3.22, 3.35 (2 nd Edition) n Quiz #1 results Hi = 10.0, Low = 4.2, Average = 8.18 Standard Deviation = 2.16 n On all quizzes & tests, give me 1 answer. u If I get 2, I'll grade the wrong one.

24 Hour Rainfall Amounts | It Rained Stillwater, OK

IM Traffic Message Size

Call Length on Cellular Telephones Source: "Primary User Behavior in Cellular Networks..." IEEE COMMUNICATIONS MAGAZINE, March 2009

Term Paper Scores

Noise Waveforms 255 point Zero Mean Uniform Noise Time Volts 0

15 Bin Histogram (255 points of Uniform Noise) Volts Bin Count 0

Volts Bin Count Time Volts To understand what a voltage histogram ( & PDF) is telling you, rotate left 90 Degrees.

Noise Waveforms 255 point Zero Mean Gaussian Noise Most Real World Noise is Gaussian Time Volts 0

15 bin Histogram (255 points of Gaussian Noise) Volts Bin Count 0

Noise Waveforms 255 point Zero Mean Exponential Noise Time Volts 0

15 bin Histogram (255 points of Exponential Noise) Volts Bin Count 0

Probability Functions n Cumulative Distribution Function F X (x) ≡ P( X < x ) n Probability Density Function u f X (x) ≡ d/dx F X (x) u P(a < X < b) is the area under the curve between x = a & x = b, inclusive u Histograms are estimates of the shape!

Gaussian PDF Q(α) = ∞ α e - 0.5*z*z dz (2*π) 1/2 n Table in the text yields the area under the right hand tail of a zero mean, unit variance, Gaussian PDF u Standard transform to use tables: z = (x - mean)/(standard deviation)