LTI System Frequency Characteristics - Free MCQ Practice Test with solutions,

 If x(n)=Ae^jωn is the input of an LTI system and h(n) is the response of the system, then what is the output y(n) of the system? 

 If the system gives an output y(n)=H(ω)x(n) with x(n)= Ae^jωnas input signal, then x(n) is said to be Eigen function of the system.

What is the output sequence of the system with impulse response h(n)=(1/2)ⁿu(n) when the input of the system is the complex exponential sequence x(n)=Ae^jnπ/2?

 If the Eigen function of an LTI system is x(n)= Ae^jnπ and the impulse response of the system is h(n)=(1/2)ⁿu(n), then what is the Eigen value of the system? 

If h(n) is the real valued impulse response sequence of an LTI system, then what is the imaginary part of Fourier transform of the impulse response?

 If h(n) is the real valued impulse response sequence of an LTI system, then what is the phase of H(ω) in terms of H_R(ω) and H_I(ω)?

What is the magnitude of H(ω) for the three point moving average system whose output is given by y(n)=1/3[x(n+1)+x(n)+x(n-1)]?

What is the magnitude of the frequency response of the system described by the difference equation y(n)=ay(n-1)+bx(n), 0<a<1?

If an LTI system is described by the difference equation y(n)=ay(n-1)+bx(n), 0 < a < 1, then what is the parameter ‘b’ so that the maximum value of | H(ω)| is unity?

 If an LTI system is described by the difference equation y(n)=ay(n-1)+bx(n), 0