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If the system has a impulse response as h(n)=Asin(n+1)ω0u(n), then the system is known as Digital frequency synthesizer.

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If the system has a impulse response as h(n)=Asin(n+1)ω0u(n), then the system is known as Digital frequency synthesizer.

(a) True

(b) False

The question was asked in final exam.

I need to ask this question from LTI System as Frequency Selective Filters in portion Frequency Analysis of Signals and Systems of Digital Signal Processing

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The correct option is (a) True

Easy explanation: The given impulse response is h(n)=Asin(n+1)ω0u(n).

According to the above equation, the second order system with complex conjugate poles on the unit circle is a sinusoid and the system is called a digital sinusoidal oscillator or a Digital frequency synthesizer.

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