PYQs Based Test - 04 : Signals & Systems

Topics Covered

Sample Questions from this Test

1. The waveform of a periodic signal $\mathrm{x}\left(\mathrm{t}\right)$ is shown in the figure.
   
   
   
   A signal g(t) is defined by $\mathrm{g}\left(\mathrm{t}\right)=\mathrm{x}\left(\frac{\mathrm{t}-1}{2}\right)$. The average power of $\mathrm{g}\left(\mathrm{t}\right)$ is __________.
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2. Consider the signal x(t) = cos(6πt) + sin(8πt), where t is in seconds. The Nyquist sampling rate (in samples/second) for the signal y(t) = x(2t + 5) is
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3. Let H(z) be the z-transform of a real-valued discrete-time signal h[n]. If $P\left(z\right)=H\left(z\right)H\left(\frac{1}{z}\right)$ has a zero at $z=\frac{1}{2}+\frac{1}{2}j$, and P(z) has a total of four zeros, which one of the following plots represents all the zeros correctly?

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Test Instructions

• The test contains 20 questions and a total of 32 marks.
• You will have 180 minutes to complete the test. The timer cannot be paused once started.
• Negative marking: 0.25 mark(s) deducted per wrong answer.
• Use the question palette to mark questions for review and navigate freely.
• Detailed solutions and analytics are available immediately after submission.
• This is a free practice test. No login required to attempt.