Chapter 6 Time and Frequency Characterization 2. A black-and-white picture x(1,)("X(ja4,jn) X(ja 1 )=∫ x\12 pile jonh dt dt Figure 6.2 6
6 Chapter 6 Time and Frequency Characterization 2. A black-and-white picture ( ) ( ) F 1 2 1 2 x t t X j j , , ⎯→ ( ) ( ) 1 1 2 2 1 2 1 2 1 2 , , j t j t X j j x t t e e dt dt − + − − = Figure 6.2
Chapter 6 Time and Frequency Characterization I X(O,,j@2) (a) ∠X(m,jo2) 7
7 1 2 | ( , ) | X j j 1 2 X j j ( , ) Chapter 6 Time and Frequency Characterization
Chapter 6 Time and Frequency Characterization (d) Magnitude: X(j@,,ja2) Magnitude: X(ja, jO,=1 Phase:∠X( yO1,)a2)=0 Phase:∠X(jm,jo2) 8
8 :| ( , ) | : ( , ) 1 2 1 2 0 Magnitude X j j Phase X j j = :| ( , ) | : ( , ) 1 2 1 2 Magnitude X j j 1 Phase X j j = Chapter 6 Time and Frequency Characterization