2.2.4 Classification of Sequences bounded,absolutely summable and squaresummable A sequence x[n]is said to be bounded if x[n]≤B,<oo Example -The sequence x[n]=cos(0.3mn) is a bounded sequence as x[n]=cos0.3n≤1
§2.2.4 Classification of Sequences bounded, absolutely summable and squaresummable • A sequence x[n] is said to be bounded if x[n] ≤ Bx < ∞ • Example - The sequence x[n]=cos(0.3πn) is a bounded sequence as x[n] = cos0.3πn ≤1
2.2.4 Classification of Sequences bounded,absolutely summable and squaresummable A sequencexn]is said to be absolutely summable if Σx[nl<o n=-00 Example The sequence n<0 is an absolutely summable sequence as n=0
§2.2.4 Classification of Sequences bounded, absolutely summable and squaresummable • A sequence x[n] is said to be absolutely summable if ∑ < ∞ ∞ n=−∞ x[n] • Example - The sequence < ≥ = 0 0 0 3 0 n n y n n , . , [ ] is an absolutely summable sequence as = < ∞ − ∑ = ∞ = 1 42857 1 0 3 1 0 3 0 . . . n n
§2.3 Basic Sequences Unit sample sequence ol-0.n*0 1, n=0 1 0000 0 -4-3-2 -1 0 1 23 4 6 Unit step sequence. n≥0 n<0 门 -4-3 -2-1 0 123456
§2.3 Basic Sequences • Unit sample sequence - ≠ = = 0, 0 1, 0 [ ] n n δ n < ≥ = 0, 0 1, 0 [ ] n n • Unit step sequence - µ n