Course Notes

Course Notes - EE 328 DISCRETE SIGNALS A discrete signal...

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EE 328 – DISCRETE SIGNALS A discrete signal x [ n ] is called right-sided if it is zero for n < N (where N is finite), causal if it is zero for n < 0, left-sided if it is zero for n > N , and anti- causal if it is zero for n ≥ 0. The Period of Discrete Signals is measured as the Number of Samples per Period. The period N is always an integer . For combinations, N is the LCM of the individual periods. A marker (↓) indicates the origin n = 0. Ellipses (…) denote infinite extent on either side. = =-∞∞ [ ] SD n x n The Discrete Sum S D = =- SA n ∞∞ |xn| The Absolute Sum, S A = =-∞ sCn k nxk The Cumulative Sum, S C [n] The signal energy E is defined as the sum of the squares of the signal values: = =-∞∞ E n |xn|2 The average value x av and signal power P of a periodic signal x[n] with period N are defined as the average sum per period and average energy per period, respectively: = = - [ ] xav 1N n 0N 1x n = = - P 1N n 0N 1|xn|2 Time Shift: The signal = [ -∝] yn
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Course Notes - EE 328 DISCRETE SIGNALS A discrete signal...

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