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The output of a continuous-time linear time-invariant system is denoted by T{x(t)} where x(t) is the input signal A signal z(t) is called eigen-signal of the system T, when T{z(t)} = yz(t), where γ is a complex number, in general and is called an eigenvalue of T. Suppose the impulse response of the system T is real and even. Which of the following statements is TRUE?
  • a)
    cos(t) is an eigen-signal but sin(t) is not
  • b)
    cos(t) and sin(t) are both eigen-signals but with different eigenvalues
  • c)
    sin(t) is an eigen-signal but cos(t) is not
  • d)
    cos(t) and sin(t) are both eigen-signals with identical eigenvalues
Correct answer is option 'D'. Can you explain this answer?
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The output of a continuous-time linear time-invariant system is denote...
Y is a scalar constant.
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The output of a continuous-time linear time-invariant system is denoted by T{x(t)} where x(t) is the input signal A signal z(t) is called eigen-signal of the system T, when T{z(t)} = yz(t), where γis a complex number, in general and is called an eigenvalue of T. Suppose the impulse response of the system T is real and even. Which of the following statements is TRUE?a)cos(t) is an eigen-signal but sin(t) is notb)cos(t) and sin(t) are both eigen-signals but with different eigenvaluesc)sin(t) is an eigen-signal but cos(t) is notd)cos(t) and sin(t) are both eigen-signals with identical eigenvaluesCorrect answer is option 'D'. Can you explain this answer?
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The output of a continuous-time linear time-invariant system is denoted by T{x(t)} where x(t) is the input signal A signal z(t) is called eigen-signal of the system T, when T{z(t)} = yz(t), where γis a complex number, in general and is called an eigenvalue of T. Suppose the impulse response of the system T is real and even. Which of the following statements is TRUE?a)cos(t) is an eigen-signal but sin(t) is notb)cos(t) and sin(t) are both eigen-signals but with different eigenvaluesc)sin(t) is an eigen-signal but cos(t) is notd)cos(t) and sin(t) are both eigen-signals with identical eigenvaluesCorrect answer is option 'D'. Can you explain this answer? for Electrical Engineering (EE) 2024 is part of Electrical Engineering (EE) preparation. The Question and answers have been prepared according to the Electrical Engineering (EE) exam syllabus. Information about The output of a continuous-time linear time-invariant system is denoted by T{x(t)} where x(t) is the input signal A signal z(t) is called eigen-signal of the system T, when T{z(t)} = yz(t), where γis a complex number, in general and is called an eigenvalue of T. Suppose the impulse response of the system T is real and even. Which of the following statements is TRUE?a)cos(t) is an eigen-signal but sin(t) is notb)cos(t) and sin(t) are both eigen-signals but with different eigenvaluesc)sin(t) is an eigen-signal but cos(t) is notd)cos(t) and sin(t) are both eigen-signals with identical eigenvaluesCorrect answer is option 'D'. Can you explain this answer? covers all topics & solutions for Electrical Engineering (EE) 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The output of a continuous-time linear time-invariant system is denoted by T{x(t)} where x(t) is the input signal A signal z(t) is called eigen-signal of the system T, when T{z(t)} = yz(t), where γis a complex number, in general and is called an eigenvalue of T. Suppose the impulse response of the system T is real and even. Which of the following statements is TRUE?a)cos(t) is an eigen-signal but sin(t) is notb)cos(t) and sin(t) are both eigen-signals but with different eigenvaluesc)sin(t) is an eigen-signal but cos(t) is notd)cos(t) and sin(t) are both eigen-signals with identical eigenvaluesCorrect answer is option 'D'. Can you explain this answer?.
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